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Wyświetlanie 1-15 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
Wyświetlanie 1-15 z 37

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