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    Wyświetlanie 1-37 z 37
    Tytuł:
    Consistency examination of linear inequality system
    Autorzy:
    Brzeskwiniewicz, Henryk
    Kłaczyński, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/747539.pdf
    Data publikacji:
    1997
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Linear inequalities
    Opis:
    .
    An investigation of the consistency of a linear inequality system is considered. It is proven that the system of linear inequalities Ax≥b is consistent if and only if for any generalized inverse A− of a matrix A the system of equations (I−AA−)v=−(I−AA−)b has a nonnegative solution for the vector v. Consistency of the above system does not depend on the choice of the matrix A−. The paper also presents methods for investigating the existence of nonnegative solutions of systems of linear equations.
    Źródło:
    Mathematica Applicanda; 1997, 26, 40
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and stabilization of positive linear dynamical systems: new equivalent conditions and computations
    Autorzy:
    Yang, H.
    Hu, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/201932.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    positive linear systems
    stability
    stabilization
    linear inequalities systems
    consistency
    I-rank
    Opis:
    New equivalent conditions of the asymptotical stability and stabilization of positive linear dynamical systems are investigated in this paper. The asymptotical stability of the positive linear systems means that there is a solution for linear inequalities systems. New necessary and sufficient conditions for the existence of solutions of the linear inequalities systems as well as the asymptotical stability of the linear dynamical systems are obtained. New conditions for the stabilization of the resultant closed-loop systems to be asymptotically stable and positive are also presented. Both the stability and the stabilization conditions can be easily checked by the so-called I-rank of a matrix and by solving linear programming (LP). The proposed LP has compact form and is ready to be implemented, which can be considered as an improvement of existing LP methods. Numerical examples are provided in the end to show the effectiveness of the proposed method.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 307-315
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A locally polynomial method for solving a system of linear inequalities
    Autorzy:
    Evtushenko, Yuri
    Szkatuła, Krzysztof
    Tretyakov, Alexey
    Powiązania:
    https://bibliotekanauki.pl/articles/2183463.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    linear programming
    system of linear inequalities
    computational complexity
    locally-polynomial algorithm
    convergence rate
    Opis:
    The paper proposes a method for solving systems of linear inequalities. This method determines in a finite number of iterations whether the given system of linear ineqalities has a solution. If it does, the solution for the given system of linear inequalities is provided. The computational complexity of the proposed method is locally polynomial.
    Źródło:
    Control and Cybernetics; 2021, 50, 2; 301--314
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    State estimate based control design using the unified algebraic approach
    Autorzy:
    Filasova, A.
    Krokavec, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/229891.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    state feedback
    linear estimation
    linear matrix inequalities
    constrains
    Opis:
    The LMI based method for the control with the state estimate, subject to the input variable constraints in the state feedback control of the linear MIMO systems, is presented in the paper. For this problem are obtained the state feedback as well as the estimator gain matrices that capture the required stability by solving the linear matrix inequalities formulated in the sense of the unified algebraic approach. The method is particularly effective when the input variable constraints and the system output are of interest.
    Źródło:
    Archives of Control Sciences; 2010, 20, 1; 5-18
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust H∞ control for uncertain neutral time-delay systems with discrete and distributed delays
    Autorzy:
    Sun, M.
    Fu, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/205639.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    time-delay
    linear matrix inequalities
    uncertain neutral systems
    H[infinity] control
    Opis:
    In this paper, the robust H∞ control problem is considered for uncertain neutral systems with discrete and distributed tirne delays. Some sumcient conditions on H∞, robust performance analysis are obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. Based on these conditions the state-feedback H∞ controller is designed. Numerical examples are included to illustrate the proposed method.
    Źródło:
    Control and Cybernetics; 2011, 40, 1; 25-38
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Admissibility tests for multidimensional singular fractional continuous-time models
    Autorzy:
    Benyettou, Kamel
    Bouagada, Djillali
    Powiązania:
    https://bibliotekanauki.pl/articles/2175103.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    singular Roesser model
    fractional systems
    multidimensional systems
    linear matrix inequalities
    admissibility
    Opis:
    In this paper we present and discuss a new class of singular fractional systems in a multidimensional state space described by the Roesser continuous-time models. The necessary and sufficient conditions for the asymptotic stability and admissibility by the use of linear matrix inequalities are established. All the obtained results are simulated by some numerical examples to show the applicability and accuracy of our approach.
    Źródło:
    Archives of Control Sciences; 2022, 32, 3; 607--625
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delay-dependent dissipative control for stochastic singular systems with state delay
    Autorzy:
    Ding, C.
    Li, Q.
    Powiązania:
    https://bibliotekanauki.pl/articles/229379.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    stochastic singular system
    dissipative control
    delay-dependent
    state delay
    linear matrix inequalities (LMIs)
    Opis:
    The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
    Źródło:
    Archives of Control Sciences; 2013, 23, 3; 281-293
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of descriptor approaches in design of PD observer-based actuator fault estimation
    Autorzy:
    Filasova, A.
    Krokavec, D.
    Serbak, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/229212.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    PD observers
    actuator fault estimation
    descriptor system observation
    convex optimization
    linear matrix inequalities
    Opis:
    Stability analysis and design for continuous-time proportional plus derivative state observers is presented in the paper with the goal to establish the system state and actuator fault estimation. Design problem accounts a descriptor principle formulation for non-descriptor systems, guaranteing asymptotic convergence both the state observer error as fault estimate error. Presented in the sense of the second Lyapunov method, an associated structure of linear matrix inequalities is outlined to possess parameter existence of the proposed estimator structure. The obtained design conditions are verified by simulation using a numerical illustrative example.
    Źródło:
    Archives of Control Sciences; 2015, 25, 1; 51-64
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust H∞ output feedback control of bidirectional inductive power transfer systems
    Autorzy:
    Swain, A.
    Almakhles, D.
    Neath, M. J.
    Nasiri, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/230097.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inductive power transfer
    wireless power transfer
    robust control
    linear matrix inequalities
    sensitivity analysis
    Opis:
    Bidirectional Inductive power transfer (IPT) systems behave as high order resonant networks and hence are highly sensitive to changes in system parameters. Traditional PID controllers often fail to maintain satisfactory power regulation in the presence of parametric uncertainties. To overcome these problems, this paper proposes a robust controller which is designed using linear matrix inequality (LMI) techniques. The output sensitivity to parametric uncertainty is explored and a linear fractional transformation of the nominal model and its uncertainty is discussed to generate a standard configuration for μ-synthesis and LMI analysis. An H∞ controller is designed based on the structured singular value and LMI feasibility analysis with regard to uncertainties in the primary tuning capacitance, the primary and pickup inductors and the mutual inductance. Robust stability and robust performance of the system is studied through μ-synthesis and LMI feasibility analysis. Simulations and experiments are conducted to verify the power regulation performance of the proposed controller.
    Źródło:
    Archives of Control Sciences; 2017, 27, 1; 41-62
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On fault tolerant control structures incorporating fault estimation
    Autorzy:
    Krokavec, D.
    Filasová, A.
    Liščinský, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/229298.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    linear systems
    fault tolerant control
    fault estimation
    linear matrix inequalities
    H∞ norm
    H2/H∞ control strategy
    Opis:
    The paper provides the minimal necessary modifications of linear matrix inequality conditions for the mixed H2/H∞ control design as well as for the augmented observer-based fault estimation to be mutually compatible in joint design of integrated fault estimation and fault tolerant control. To be possible, within this integration, to design the controller which guarantees a pre-specified H∞ norm disturbance attenuation level, the design conditions has to be regularized using the H2 performance index and, moreover, augmented fault observer must be of enforced dynamics. Analyzing the ambit of performances given on the mixed H2/H∞ design, the joint design conditions are formulated as a minimization problem subject to convex constraints expressed by a system of LMIs. The feasibility of the conditions is demonstrated by a numerical example.
    Źródło:
    Archives of Control Sciences; 2016, 26, 4; 453-469
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Switching controller synthesis for discrete-time switched linear systems with average dwell time
    Autorzy:
    He, Wei
    Xie, Wei
    Zhang, Langwen
    Powiązania:
    https://bibliotekanauki.pl/articles/229372.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete-time switched linear systems
    L2 performance
    average dwell time
    controller state reset
    linear matrix inequalities
    Opis:
    This paper addresses weighted L2 gain performance switching controller design of discrete-time switched linear systems with average dwell time (ADT) scheme. Two kinds of methods, so called linearizing change-of-variables based method and controller variable elimination method, are considered for the output-feedback control with a supervisor enforcing a reset rule at each switching instant are considered respectively. Furthermore, some comparison between these two methods are also given.
    Źródło:
    Archives of Control Sciences; 2020, 30, 1; 5-22
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Criteria for Stability of Uncertain Linear Systems With Time-Varying Delay
    Autorzy:
    Han, Q. L.
    Gu, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/911198.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stabilność
    niepewność
    funkcja Lapunowa
    stability
    time-varying delay
    uncertainty
    linear matrix inequalities
    Lyapunov functional
    Opis:
    This paper focuses on the stability problem for uncertain linear systems with time-varying delays. Based on a discretized Lyapunov functional approach, delay-dependent criteria that are formulated in terms of linear matrix inequalities are proposed to guarantee asymptotic stability for such systems. Numerical examples are also included to show the effectiveness of the method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 205-225
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new D-stability area for linear discrete-time systems
    Autorzy:
    Krokavec, Dušan
    Filasová, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/229462.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    discrete-time linear systems
    state control
    pole placement onstraints
    D-stability region
    linear matrix inequalities
    polytopic uncertainties
    Opis:
    The paper addresses the problem of constrained pole placement in discrete-time linear systems. The design conditions are outlined in terms of linear matrix in equalities for the D-stable ellipse region in the complex Z plain. In addition, it is demonstrated that the D-stable circle region formulation is the special case of by this way formulated and solved pole placement problem. The proposed principle is enhanced for discrete-time linear systems with polytopic uncertainties.
    Źródło:
    Archives of Control Sciences; 2019, 29, 1; 5-23
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stabilization of discrete-time LTI positive systems
    Autorzy:
    Krokavec, D.
    Filasová, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/229466.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    state feedback stabilization
    positive discrete-time observers
    linear discrete-time positive systems
    linear matrix inequalities
    asymptotic stability
    Opis:
    The paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.
    Źródło:
    Archives of Control Sciences; 2017, 27, 4; 575-594
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general iterative solver for unbalanced inconsistent transportation problems
    Autorzy:
    Carp, D.
    Popa, C.
    Serban, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/223848.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    inconsistent linear inequalities
    least squares solutions
    projection-type algorithm
    Kaczmarz Extended
    transportation problem
    simplex algorithm
    Han’s algorithm
    problemy transportowe
    algorytm Simplex
    algorytm Hana
    Opis:
    The transportation problem, as a particular case of a linear programme, has probably the highest relative frequency with which appears in applications. At least in its classical formulation, it involves demands and supplies. When, for practical reasons, the total demand cannot satisfy the total supply, the problem becomes unbalanced and inconsistent, and must be reformulated as e.g. finding a least squares solution of an inconsistent system of linear inequalities. A general iterative solver for this class of problems has been proposed by S. P. Han in his 1980 original paper. The drawback of Han’s algorithm consists in the fact that it uses in each iteration the computation of the Moore-Penrose pseudoinverse numerical solution of a subsystem of the initial one, which for bigger dimensions can cause serious computational troubles. In order to overcome these difficulties we propose in this paper a general projection-based minimal norm solution approximant to be used within Han-type algorithms for approximating least squares solutions of inconsistent systems of linear inequalities. Numerical experiments and comparisons on some inconsistent transport model problems are presented.
    Źródło:
    Archives of Transport; 2016, 37, 1; 7-13
    0866-9546
    2300-8830
    Pojawia się w:
    Archives of Transport
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general scheme for obtaining estimates for interior approximation of certain operators in Banach spaces
    Autorzy:
    Moszyński, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/748401.pdf
    Data publikacji:
    1979
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Equations and inequalities involving linear operators, with vector unknowns, Equations with linear operators
    Opis:
    .
    The author gives certain schemas of approximation to certain bounded linear operators in Banach spaces by means of families of simpler operators and of approximation to solutions of linear equations. Estimates of accuracy are given, which seem to be the main aim of the paper. The very technical character of the paper makes it impossible to give here a more detailed description of the contents.
    Źródło:
    Mathematica Applicanda; 1979, 7, 14
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A novel robust H1 fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varyin delay
    Autorzy:
    Assawinchaichote, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/205767.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    H∞ fuzzy control
    Takagi-Sugeno (TS) fuzzy model
    linear matrix inequalities (LMIs)
    Markovian jump parameters
    time-varying delay
    Opis:
    This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
    Źródło:
    Control and Cybernetics; 2014, 43, 2; 227-248
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A fault tolerant direct control allocation scheme with integral sliding modes
    Autorzy:
    Hamayun, M. T.
    Edwards, C.
    Alwi, H.
    Bajodah, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/330832.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault tolerant control
    integral sliding mode control
    linear matrix inequalities
    sterowanie tolerujące uszkodzenia
    sterowanie ślizgowe
    liniowe nierówności macierzowe
    Opis:
    In this paper, integral sliding mode control ideas are combined with direct control allocation in order to create a fault tolerant control scheme. Traditional integral sliding mode control can directly handle actuator faults; however, it cannot do so with actuator failures. Therefore, a mechanism needs to be adopted to distribute the control effort amongst the remaining functioning actuators in cases of faults or failures, so that an acceptable level of closed-loop performance can be retained. This paper considers the possibility of introducing fault tolerance even if fault or failure information is not provided to the control strategy. To demonstrate the efficacy of the proposed scheme, a high fidelity nonlinear model of a large civil aircraft is considered in the simulations in the presence of wind, gusts and sensor noise.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 93-102
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Relaxed formulation of the design conditions for Takagi-Sugeno fuzzy virtual actuators
    Autorzy:
    Filasova, A.
    Krokavec, D.
    Liscinsky, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/229418.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    nonlinear dynamic systems
    Takagi-Sugeno fuzzy models
    fault tolerant control
    static output controllers
    virtual actuators
    linear matrix inequalities
    Opis:
    The H∞ norm approach to virtual actuators design, intended to Takagi-Sugeno fuzzy continuous-time systems, is presented in the paper. Using the second Ljapunov method, the design conditions are formulated in terms of linear matrix inequalities in adapted bounded real lemma structures. Related to the static output controller, and for systems under influence of single actuator faults, the design steps are revealed for a three-tank system plant.
    Źródło:
    Archives of Control Sciences; 2016, 26, 2; 199-221
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On some ways to implement state-multiplicative fault detection in discrete-time linear systems
    Autorzy:
    Krokavec, Dušan
    Filasová, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/2134045.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear discrete time system
    state multiplicative fault
    Luenberger observer
    residual filter
    linear matrix inequalities
    liniowy układ dyskretny
    obserwator Luenbergera
    liniowe nierówności macierzowe
    Opis:
    New design conditions on the observer based residual filter design for the linear discrete-time linear systems with zoned system parameter faults are presented. With respect to time evolution of residual signals and with a guarantee of their robustness, the design task is stated in terms of linear matrix inequalities, while the recursive implementation of algorithms is motivated by the platform existence for real-time processing. A major objective is to analyze the configuration required and, in particular, a new characterization of the norm boundaries of the multiplicative zonal parametric faults to be projected onto the structure of the set of linear matrix inequalities.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 229--240
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Decentralized multi-agent formation control with pole-region placement via cone-complementarity linearization
    Autorzy:
    González, Antonio
    Sala, Antonio
    Armesto, Leopoldo
    Powiązania:
    https://bibliotekanauki.pl/articles/2172117.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    multiagent autonomous system
    formation control
    linear matrix inequalities
    cone complementarity linearization
    system wieloagentowy
    sterowanie formacją
    liniowe nierówności macierzowe
    Opis:
    An output-feedback decentralised formation control strategy is pursued under pole-region constraints, assuming that the agents have access to relative position measurements with respect to a set of neighbors in a graph describing the sensing topology. No communication between the agents is assumed; however, a shared one-way communication channel with a pilot is needed for steering tasks. Each agent has a separate copy of the same controller. A virtual structure approach is presented for the formation steering as a whole; actual formation control is established via cone-complementarity linearization algorithms for the appropriate matrix inequalities. In contrast to other research where only stable consensus is pursued, the proposed method allows us to specify settling-time, damping and bandwidth limitations via pole regions. In addition, a full methodology for the decoupled handling of steering and formation control is provided. Simulation results in the example section illustrate the approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 3; 415--428
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    BIBO stabilisation of continuous-time Takagi–Sugeno systems under persistent perturbations and input saturation
    Autorzy:
    Salcedo, J. V.
    Martínez, M.
    García-Nieto, S.
    Hilario, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/330698.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear matrix inequalities
    fuzzy system
    nonlinear system
    input saturation
    disturbance
    liniowe nierówności macierzowe
    układ rozmyty
    układ liniowy
    nasycenie wejściowe
    Opis:
    This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations. It is assumed that all the states of the Takagi–Sugeno (TS) fuzzy model representing a non-linear system are measurable. Such controllers achieve bounded input bounded output (BIBO) stabilisation in closed loop based on the computation of inescapable ellipsoids. These ellipsoids are computed with linear matrix inequalities (LMIs) that guarantee stabilisation with input saturation and persistent perturbations. In particular, two kinds of inescapable ellipsoids are computed when solving a multiobjective optimization problem: the maximum volume inescapable ellipsoids contained inside the validity domain of the TS fuzzy model and the smallest inescapable ellipsoids which guarantee a minimum *-norm (upper bound of the 1-norm) of the perturbed system. For every initial point contained in the maximum volume ellipsoid, the closed loop will enter the minimum *-norm ellipsoid after a finite time, and it will remain inside afterwards. Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 457-472
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based fault estimation for linear systems with distributed time delay
    Autorzy:
    Filasova, A.
    Gontkovič, D.
    Krokavec, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/229173.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    adaptive fault estimation
    distributed time delay systems
    Lyapunov-Krasovskii functional
    integral partitioning technique
    time delay segmentation
    linear matrix inequalities
    Opis:
    The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.
    Źródło:
    Archives of Control Sciences; 2013, 23, 2; 169-186
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Distributed fault estimation of multi-agent systems using a proportional-integral observer: A leader-following application
    Autorzy:
    Farrera, Beltrán
    López-Estrada, Francisco-Ronay
    Chadli, Mohammed
    Valencia-Palomo, Guillermo
    Gómez-Peñate, Samuel
    Powiązania:
    https://bibliotekanauki.pl/articles/330554.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    multiagent systems
    fault estimation
    state observer
    fault observer
    linear matrix inequalities
    system wieloagentowy
    estymacja błędu
    obserwator stanu
    liniowe nierówności macierzowe
    Opis:
    This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a proportional-integral distributed fault estimation observer is developed to estimate both actuator faults and states of each follower agent by considering directed and undirected graph topologies. Second, based on the proposed quadratic Lyapunov equation, sufficient conditions for the asymptotic convergence of the observer are obtained as a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 551-560
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some remarks on spectral approximation for compact operators
    Autorzy:
    Moszyński, K.
    Pokrzywa, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/747559.pdf
    Data publikacji:
    1978
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Compact operators,Riesz operators,quations and inequalities involving linear operators, with vector unknowns,Equations with linear operators
    Opis:
    Artykuł nie zawiera streszczenia
    Finite-dimensional approximations for linear compact operators are constructed by discretization of the underlying Banach space. Sufficient conditions for strong convergence of the finite-dimensional operators to the given compact operator and for their collective compactness are obtained. In particular, the finite-dimensional approximation of the pencil A−λJ:H→V is considered, where H,V are Banach spaces, A is an invertible and J a compact operator.
    Źródło:
    Mathematica Applicanda; 1978, 6, 12
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the asymptotic behaviour of solutions to a linear functional equation
    Autorzy:
    Sokołowski, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/254899.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    linear functional equations and inequalities
    solutions with a constant sign
    asymptotic behaviour of solutions
    Opis:
    We investigate the asymptotic behaviour at infinity of solutions of the equation [formula].We show among others that, under some assumptions, any positive solution of the equation which is integrable on a vicinity of infinity or vanishes at +∞ tends on some sequence to zero faster than some exponential function, but it does not vanish faster than another such function.
    Źródło:
    Opuscula Mathematica; 2012, 32, 3; 559-577
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust quasi-LPV model reference FTC of a quadrotor UAV subject to actuator faults
    Autorzy:
    Rotondo, D.
    Nejjari, F.
    Puig, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/331147.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear parameter varying systems
    fault tolerant control
    quadrotor
    model reference based control
    linear matrix inequalities
    układ liniowy niestacjonarny
    sterowanie tolerujące uszkodzenia
    liniowe nierówności macierzowe
    Opis:
    A solution for fault tolerant control (FTC) of a quadrotor unmanned aerial vehicle (UAV) is proposed. It relies on model reference-based control, where a reference model generates the desired trajectory. Depending on the type of reference model used for generating the reference trajectory, and on the assumptions about the availability and uncertainty of fault estimation, different error models are obtained. These error models are suitable for passive FTC, active FTC and hybrid FTC, the latter being able to merge the benefits of active and passive FTC while reducing their respective drawbacks. The controller is generated using results from the robust linear parameter varying (LPV) polytopic framework, where the vector of varying parameters is used to schedule between uncertain linear time invariant (LTI) systems. The design procedure relies on solving a set of linear matrix inequalities (LMIs) in order to achieve regional pole placement and H∞ norm bounding constraints. Simulation results are used to compare the different FTC strategies.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 7-22
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Adaptive control through on-line optimization. The MPCI paradigm and variants
    Autorzy:
    Nikolaou, M.
    Eker, S. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908314.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie adaptacyjne
    sterowanie predykcyjne
    wzbudzanie trwałe
    adaptive control
    model predictive control
    closed-loop identification
    persistent excitation
    linear matrix inequalities
    semidefinite programming
    Opis:
    A new variant of Model Predictive Control and Identification (MPCI) is proposed. The on-line objective is not to minimize the sum of square errors, but to maximize on-line the sum of the lower bounds on the minimum eigenvalues of the information matrices over finite horizons. In that way, inputs to the controlled process are allowed to excite the process highly enough to generate as much modelling information as possible, while the process goes off-spec as little as possible. Constraints can be loosened or tightened according to the need for identification. The effectiveness of the proposed new methodology is illustrated through a number of simulations.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 25-52
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
    Autorzy:
    Zhai, G.
    Xu, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/907764.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    układ deskrypcyjny
    stabilność
    komutacja dowolna
    nierówność macierzy
    LMI
    switched linear descriptor systems
    stability
    arbitrary switching
    linear matrix inequalities (LMIs)
    common quadratic Lyapunov functions
    Opis:
    We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 249-259
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie LMI do syntezy obserwatorów liniowych ciągłych układów niecałkowitego rzędu
    LMI approach to observer synthesis for linear continuous-time fractional order systems
    Autorzy:
    Kociszewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/157110.pdf
    Data publikacji:
    2010
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    liniowe nierówności macierzowe (LMI)
    synteza
    obserwator
    układ
    ciągły
    rząd niecałkowity
    linear matrix inequalities (LMIs)
    synthesis
    observer
    system
    continuous-time
    fractional order
    Opis:
    W pracy rozpatrzono problem syntezy obserwatorów liniowych układów ciągłych niecałkowitego rzędu. Wykorzystując aparat liniowych nierówności macierzowych (LMI) sformułowano warunki oraz podano procedury do wyznaczania macierzy wzmocnień obserwatorów, dla rzędu ? układu: 0 < α < 1 i 1 < α < 2. Rozważania zilustrowano przykładem liczbowym. Obliczenia i symulacje wykonano w środowisku Matlab/Simulink.
    Many sophisticated analytical procedures to control system design are based on the assumption that the full state vector is available for measurement. The example of such control procedure is placement of the unstable system eigenvalues. In many systems of practical importance, however, the entire state vector is not available for measurement. In some systems, for example, measurements may require the use of costly measurement devices and it may be unreasonable to measure all state variables. An auxiliary dynamical system, which reconstructs the state vector, is known as a full-order or an identity observer, and is coupled to the original system through the available system inputs and outputs [14]. The paper presents a problem of synthesis of full-order observers for fractional continuous-time linear systems. It has been shown that this problem can be formulated and solved by the use of linear matrix inequalities (LMI) methods [15]. Two cases of fractional order i.e. 0 < α < 1 and 1 < α < 2 of the system (1) have been considered. Necessary and sufficient conditions (Theorem 1 and 2) for solvability of the problem as well as two procedures (Procedure 1 and 2) for computation of a gain matrix L of asymptotic stable observer (2) have been given. The proposed approach is illustrated with a practical example. Numerical calculations have been performed in the Matlab package and accompanied by public domain software: SeDuMi solver and YALMIP parser. The LMI approach to observer synthesis for fractional continuous-time linear systems has not been considered as yet.
    Źródło:
    Pomiary Automatyka Kontrola; 2010, R. 56, nr 5, 5; 392-395
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie liniowych nierówności macierzowych do syntezy sterowania poziomem wody w układzie kaskadowym dwóch zbiorników
    Design of water tank level cascade control system via LMI approach
    Autorzy:
    Rybczak, M.
    Tomera, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/266317.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Gdańska. Wydział Elektrotechniki i Automatyki
    Tematy:
    regulator stanu
    liniowe nierówności macierzowe
    metoda lokowania biegunów
    układ kaskadowy zbiorników
    state feedback controller
    linear matrix inequalities
    pole placement method
    tank cascade system
    Opis:
    Referat zawiera metodykę doboru parametrów regulatora stanu z wykorzystaniem liniowych nierówności macierzowych (ang. LMI - Linear Matrix Inequalities) metodą lokowania biegunów. W pracy zdefiniowano warunki rozmieszczenia biegunów w lewej półpłaszczyźnie zmiennej zespolonej s i wyznaczono obszary dopuszczalnych położeń biegunów. Na potrzeby rozważanej, liniowej metody projektowania dokonano linearyzacji modelu matematycznego obiektu w wybranym punkcie pracy. Zaprojektowany regulator stanu zastosowany został do sterowania obiektem rzeczywistym, którym był układ kaskadowy dwóch zbiorników. W referacie przedstawione zostały zarówno wyniki badań symulacyjnych jak i badań eksperymentalnych przeprowadzonych na obiekcie rzeczywistym.
    The paper describes a state feedback controller design by pole placement method using Linear Matrix Inequalities (LMI) approach. Conditions of pole placement constraints in a left half plane of the complex plane s are defined and allowable region for poles of the closed-loop control system are determined. For the purpose of using the linear design method, the mathematical model of controlled plant was linearized at a selected operating point. The designed state feedback controller was used for controlling the water level in a two-tank cascade system. The paper presents results of both computer simulations and real-time experiments.
    Źródło:
    Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej; 2017, 57; 109-116
    1425-5766
    2353-1290
    Pojawia się w:
    Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
    Autorzy:
    Abdelmalek, I.
    Goléa, N.
    Hadjili, M. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/911242.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    liniowe nierówności macierzowe
    stabilizacja
    funkcja Lapunowa
    model Takagi-Sugeno
    system rozmyty
    T-S fuzzy systems
    non-quadratic stability conditions
    linear matrix inequalities
    parallel distributed compensation
    stabilization
    Opis:
    In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 39-51
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A fault estimation and fault-tolerant control based sliding mode observer for LPV descriptor systems with time delay
    Autorzy:
    Hamdi, Habib
    Rodrigues, Mickael
    Rabaoui, Bouali
    Benhadj Braiek, Naceur
    Powiązania:
    https://bibliotekanauki.pl/articles/1838208.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault estimation
    fault-tolerant control
    LPV descriptor system
    sliding mode observer
    time delay
    LMIs
    linear matrix inequalities
    estymacja błędu
    sterowanie odporne na uszkodzenia
    sterowanie ślizgowe
    liniowa nierówność macierzowa
    Opis:
    This paper considers the problem of fault-tolerant control (FTC) and fault reconstruction of actuator faults for linear parameter varying (LPV) descriptor systems with time delay. A polytopic sliding mode observer (PSMO) is synthesized to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Exploiting the reconstructed actuator faults and state estimates, a fault-tolerant controller is designed to compensate the impact of actuator faults on system performance by stabilizing the closed-loop LPV delayed descriptor system. Besides, the controller and PSMO gains are obtained throughout the resolution of linear matrix inequalities (LMIs) using convex optimization techniques. The developed PSMO could force the output estimation error to converge to zero in a finite time when the actuators faults are bounded through the reinjection of the output estimation error via a nonlinear switching term. Simulation results applied to a given numerical system are presented to highlight the superiority and effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 247-258
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    T–S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
    Autorzy:
    Salcedo, José V.
    Martínez, Miguel
    García-Nieto, Sergio
    Hilario, Adolfo
    Powiązania:
    https://bibliotekanauki.pl/articles/330030.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear matrix inequalities
    Takagi–Suegno fuzzy system
    fuzzy Lyapunov function
    integral delayed Lyapunov function
    nonparallel distributed fuzzy controller
    generalised inescapable ellipsoids
    liniowe nierówności macierzowe
    model rozmyty Takagi-Sugeno
    funkcja Lapunowa
    Opis:
    This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum ⋆-norm (upper bound of the 1-norm) for the T–S fuzzy system under persistent perturbations. The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 529-550
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays
    Autorzy:
    Tong, S.
    Yang, G.
    Zhang, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/930168.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie rozmyte
    sterowanie z opóźnieniem
    obserwator stanu
    sterowanie tolerujące uszkodzenia
    liniowa nierówność macierzowa
    analiza stateczności
    fuzzy time delay systems
    sensor faults
    state observer
    fault tolerant control
    linear matrix inequalities
    stability analysis
    Opis:
    This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 617-627
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Poziom realizacji dziesiątego celu zrównoważonego rozwoju w krajach Unii Europejskiej – ocena przy wykorzystaniu wielowymiarowej analizy porównawczej w ujęciu dynamicznym
    Level of implementation of the tenth Sustainable Development Goal – reducing inequalities – in European Union countries – assessment using multidimensional comparative analysis in a dynamic approach
    Autorzy:
    Raczkowska, Małgorzata
    Mikuła, Aneta
    Powiązania:
    https://bibliotekanauki.pl/articles/36436259.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Rzeszowski. Wydawnictwo Uniwersytetu Rzeszowskiego
    Tematy:
    rozwój zrównoważony
    nierówności
    Unia Europejska
    metoda porządkowania liniowego
    ranking krajów
    sustainable development
    inequalities
    European Union
    linear ordering method
    country ranking
    Opis:
    Współczesne nierówności społeczne i ekonomiczne stanowią jedną z głównych przeszkód dla zrównoważonego rozwoju, nie tylko w ramach poszczególnych społeczeństw, ale także na skalę globalną. Utrzymywanie się dysproporcji przestrzennych w Unii Europejskiej w obszarze redukcji nierówności uzasadnia potrzebę przeprowadzenia badań w tej dziedzinie. Celem niniejszego artykułu jest zidentyfikowanie i ocena stopnia realizacji dziesiątego celu zrównoważonego rozwoju – redukcji nierówności – w krajach Unii Europejskiej. Badania obejmują okres od 2018 do 2022 r. Ocena realizacji wybranego celu oparta jest na wskaźnikach monitorowanych przez Eurostat. W artykule zastosowano wielowymiarową analizę porównawczą, korzystając z metody porządkowania liniowego w ujęciu dynamicznym. Na podstawie obliczonego miernika syntetycznego opracowano ranking krajów, wyodrębniono grupy typologiczne oraz obliczono skalę zmian w stopniu realizacji dziesiątego celu między krajami UE. Wyniki badań wskazują na znaczące zróżnicowanie między państwami unijnymi pod względem poziomu nierówności społecznych i ekonomicznych. Kraje Europy Zachodniej i Północnej zajmowały wyższe pozycje w rankingach, podczas gdy kraje Europy Południowej i Wschodniej plasowały się na niższych miejscach. Luksemburg, Irlandia i Holandia zajmowały pierwsze trzy pozycje we wszystkich analizowanych latach. Z kolei na drugim końcu skali znalazły się dwa najuboższe kraje unijne – Rumunia i Bułgaria, a także Hiszpania i Włochy, które szczególnie dotknięte były problemem migracji. W 2022 r. zaobserwowano poprawę wartości wskaźnika syntetycznego w porównaniu do 2018 r. w 13 krajach UE, zwłaszcza w Grecji, Portugalii, Polsce i Chorwacji. Natomiast największy spadek wartości miernika syntetycznego odnotowano w czternastu państwach, zwłaszcza w Estonii, Bułgarii i Rumunii.
    Contemporary social and economic inequalities constitute one of the main obstacles to sustainable development, not only within individual societies but also on a global scale. The persistence of spatial disparities within the European Union in the realm of inequality reduction highlights the need for research in this area. The objective of this article is to identify and assess the level of achievement of the tenth Sustainable Development Goal – the reduction of inequalities – in European Union countries. The study covers the period from 2018 to 2022. The assessment of goal attainment is based on indicators monitored by Eurostat. A multidimensional comparative analysis was employed in the article, utilizing the linear ordering method in a dynamic approach. Rankings of countries, typological groups, and the scale of changes in the level of achieving the tenth goal between EU countries were derived from the calculated synthetic measure. The research results indicate significant diversity among EU countries in terms of social and economic inequality levels. Western and Northern European countries ranked higher, while Southern and Eastern European countries ranked lower. Luxembourg, Ireland, and the Netherlands consistently occupied the top three positions in all the analyzed years. Conversely, at the other end of the scale, were positioned the two poorest EU countries, Romania and Bulgaria, as well as Spain and Italy, particularly affected by migration issues. Improvement in the synthetic indicator value from 2018 to 2022 was observed in 13 EU countries, especially in Greece, Portugal, Poland, and Croatia. On the other hand, the greatest decline in the synthetic measure value was noted in fourteen countries, notably Estonia, Bulgaria, and Romania.
    Źródło:
    Nierówności Społeczne a Wzrost Gospodarczy; 2023, 76; 35-51
    1898-5084
    2658-0780
    Pojawia się w:
    Nierówności Społeczne a Wzrost Gospodarczy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some comments on the life and publications of Jerzy K. Baksalary (1944-2005)
    Autorzy:
    Baksalary, Oskar
    Styan, George
    Powiązania:
    https://bibliotekanauki.pl/articles/729932.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    The Adam Mickiewicz University in Poznań
    The August Cieszkowski Agricultural University in Poznań
    authorship matrix
    bibliometrics
    biography
    generalized inverses of matrices
    history of mathematics and statistics in Poland
    linear statistical models
    matrix equations and inequalities
    matrix partial orderings
    obituary
    rank of a matrix product
    Tadeusz Kotarbiński Pedagogical University in Zielona Góra
    Zielona Góra University
    Opis:
    Following some biographical information on Jerzy K. Baksalary (1944-2005) and some comments by Tadeusz Caliński, Oskar Maria Baksalary, and Image Editors-in-Chief: Bryan L. Shader and Hans Joachim Werner, this article continues with personal remarks on the life and publications of Jerzy K. Baksalary by Anita Dobek, R. William Farebrother, Jürgen Groß, Jan Hauke, Radosław Kala, Erkki Liski, Xiaoji Liu, Augustyn Markiewicz, Thomas Mathew, Wiesław Migdałek, Friedrich Pukelsheim, Tarmo Pukkila, Simo Puntanen, C. Radhakrishna Rao, Dietrich von Rosen, George P.H. Styan, Tomasz Szulc, Yongge Tian, Götz Trenkler, Frank Uhlig, Júlia Volaufová, Haruo Yanai, and Fuzhen Zhang. These remarks are followed by a detailed list of Jerzy Baksalary's publications prepared by the editors of this article.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2008, 28, 1; 5-64
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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