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    Wyświetlanie 1-30 z 30
    Tytuł:
    Pontryagin Maximum Principle for coupled slow and fast systems
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/970920.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    singular perturbations
    maximum principle
    Opis:
    When slow and fast controlled dynamics are coupled, the variational limit, as the ratio of time scales grows, is best depicted as a trajectory in a probability measures space. The effective control is then an invariant measure on the fast state-control space. The paper presents the form of the Pontryagin Maximum Principle for this variational limit and examines its relation to the Maximum Principle of the perturbed system.
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 1003-1019
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monitoring of ocean current perturbations using acoustic phase variations
    Autorzy:
    Zieliński, A.
    Butowski, M.
    Kraeutner, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/332840.pdf
    Data publikacji:
    2009
    Wydawca:
    Polskie Towarzystwo Akustyczne
    Tematy:
    ocean current perturbations
    acoustics phase variations
    hydroacoustics
    Opis:
    In this paper, we review an acoustic method for measuring both average ocean current speed and sound speed along an acoustic path. The method requires two or more stations on the sea floor, synchronized through a connecting underwater electric cable, that can transmit and receive an acoustic signal and The method is based on reciprocal acoustic transmissions to determine time of flight in both the forward and reverse directions. A specific implementation of this method is proposed. We also consider a novel method for monitoring ocean current perturbations through acoustic phase measurements. In simplest form, a continuous sinusoidal signal is transmitted from one station to a second station. Any variations in ocean current speed will introduce a phase shift in the received signal proportional to the time derivative of the current speed. This effect has been demonstrated through ultrasonic in-air experiments. Finally, the two methods are combined into a single system that continuously measures small-scale ocean current velocity changes.
    Źródło:
    Hydroacoustics; 2009, 12; 237-248
    1642-1817
    Pojawia się w:
    Hydroacoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
    Autorzy:
    Gil', Michael
    Powiązania:
    https://bibliotekanauki.pl/articles/729497.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    matrix equations
    norm estimates
    perturbations
    invariant subspaces
    Opis:
    Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 191-206
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Performance analysis of the fractional-order vehicle mechatronic ISD suspension with parameter perturbation
    Autorzy:
    Shen, Yujie
    Hua, Jie
    Xia, Xiaohua
    Liu, Yanling
    Yang, Xiaofeng
    Powiązania:
    https://bibliotekanauki.pl/articles/2086945.pdf
    Data publikacji:
    2022
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    vehicle suspension
    mechatronic inerter
    fractional order
    parameter perturbations
    Opis:
    This paper concerns the performance analysis of a fractional-order vehicle mechatronic ISD suspension with parameter perturbation. A dynamic model of the vehicle mechatronic ISD suspension based on a fractional-order electrical network is constructed. The superiority of the vibration isolation performance of the fractional-order ISD suspension is demonstrated, and the dynamic performance of the suspension is analyzed considering perturbation of parameters. Results show that the inertance has an important role when the frequency is above 103 Hz, and the fractional inductance order and fractional capacitance order have significant impact in the frequency range of 10−2 Hz to 102 Hz.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 141--152
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Logarithmic norms and regular perturbations of differential equations
    Autorzy:
    Banasiak, Jacek
    Powiązania:
    https://bibliotekanauki.pl/articles/2078970.pdf
    Data publikacji:
    2019
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Logarithmic norm
    stability
    regular perturbations of differential equations
    Opis:
    In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicability by using it to find conditions under which the convergence of solutions of regularly perturbed systems of ordinary differential equations is uniform globally in time.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 2; 5-19
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Gaussian process dynamic modeling and backstepping sliding mode control for magnetic levitation system of maglev train
    Autorzy:
    Sun, Yougang
    Wang, Sumei
    Lu, Yang
    Xu, Junqi
    Powiązania:
    https://bibliotekanauki.pl/articles/2086959.pdf
    Data publikacji:
    2022
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    maglev train
    Gaussian process
    sliding mode control
    parameter perturbations
    Opis:
    The maglev trains are strongly nonlinear and open-loop unstable systems with external disturbances and parameters uncertainty. In this paper, the Gaussian process method is utilized to get the dynamic parameters, and a backstepping sliding mode controller is proposed for magnetic levitation systems (MLS) of maglev trains. That is, for a MLS of a maglev train, a nonlinear dynamic model with accurate parameters is obtained by the Gaussian process regression method, based on which a novel robust control algorithm is designed. Specifically, the MLS is divided into two sub-systems by a backstepping method. The inter virtual control inputs and the Lyapunov function are constructed in the first sub-system. For the second sub-system, the sliding mode surface is constructed to fulfil the design of the whole controller to asymptotically regulate the airgap to a desired trajectory. The stability of the proposed control method is analyzed by the Lyapunov method. Both simulation and experimental results are included to illustrate the superior performance of the presented method to cope with parameters perturbations and external disturbance.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 49--62
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Oscillations in a Growth Model with Capital, Technology and Environment with Exogenous Shocks
    Autorzy:
    Zhang, Wei-Bin
    Powiązania:
    https://bibliotekanauki.pl/articles/1036569.pdf
    Data publikacji:
    2015
    Wydawca:
    Academicus. International Scientific Journal publishing house
    Tematy:
    perturbations
    economic oscillations
    economic growth
    technological change
    wealth accumulation
    Opis:
    This paper generalizes the dynamic growth model with wealth accumulation, technological change and environmental change by Zhang (2012) by making all the parameters as time-dependent parameters. The model treats physical capital accumulation, knowledge creation and utilization, and environmental change as endogenous variables. It synthesizes the basic ideas of the neoclassical growth theory, Arrow’s learning-by-doing model and the traditional dynamic models of environmental change within a comprehensive framework. The behavior of the household is described with an alternative approach to household behavior. We simulated the model to demonstrate existence of equilibrium points, motion of the dynamic system, and oscillations due to different exogenous shocks.
    Źródło:
    Academicus International Scientific Journal; 2015, 12; 73-93
    2079-3715
    2309-1088
    Pojawia się w:
    Academicus International Scientific Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some Properties of the Eigenvalues of the Net Laplacian Matrix of a Signed Graph
    Autorzy:
    Stanić, Zoran
    Powiązania:
    https://bibliotekanauki.pl/articles/32304147.pdf
    Data publikacji:
    2022-08-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    (net) Laplacian matrix
    edge perturbations
    largest eigenvalue
    net-degree
    Opis:
    Given a signed graph $ \dot{G} $, let $ A_{ \dot{G} } $ and $ D_{\dot{G}}^\pm $ denote its standard adjacency matrix and the diagonal matrix of vertex net-degrees, respectively. The net Laplacian matrix of $ \dot{G} $ is defined to be $ N_{ \dot{G} } = D_{\dot{G}}^\pm - A_{ \dot{G} } $. In this study we give some properties of the eigenvalues of $ N_{ \dot{G} } $. In particular, we consider their behaviour under some edge perturbations, establish some relations between them and the eigenvalues of the standard Laplacian matrix and give some lower and upper bounds for the largest eigenvalue of $ N_{ \dot{G} } $.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2022, 42, 3; 893-903
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Perturbation analysis of electric field around objects in sea water
    Autorzy:
    Jakubiuk, K.
    Zimny, P.
    Wołoszyn, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/377479.pdf
    Data publikacji:
    2012
    Wydawca:
    Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
    Tematy:
    electric field
    object in sea water
    location methods
    electric perturbations
    Opis:
    In marine environment there are different types of objects, such as ships or naval mines, which should be located and identified. One of the location methods is based on the electric potential distribution measurement [1, 2], The object with an insulating or conductive casing, placed in an electric field, causes some field perturbations. For the purpose of the object location the dimensions of the area, where it is possible to determine electric field perturbations by measurement, are important. In this way one can pre-determine the extent of the system for locating and identifying objects placed in the seawater. This paper presents an analytical approach to the perturbation analysis of electric field distribution caused by a sphere and an ellipsoid placed in a uniform electric field. The distance, beyond which the uniform electric perturbations can be neglected, is determined.
    Źródło:
    Poznan University of Technology Academic Journals. Electrical Engineering; 2012, 69; 81-88
    1897-0737
    Pojawia się w:
    Poznan University of Technology Academic Journals. Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface
    Autorzy:
    Morales, F. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255380.pdf
    Data publikacji:
    2015
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    multiscale coupled systems
    interface geometric perturbations
    variational formulations
    nonlinear dependence
    Opis:
    This work studies the dependence of the solution with respect to interface geometric perturbations, in a multiscaled coupled Darcy flow system in direct variational formulation. A set of admissible perturbation functions and a sense of convergence is presented, as well as sufficient conditions on the forcing terms, in order to conclude strong convergence statements. For the rate of convergence of the solutions we start solving completely the one dimensional case, using orthogonal decompositions on the appropriate subspaces. Finally, the rate of convergence question is analyzed in a simple multi dimensional setting, by studying the nonlinear operators introduced due to the geometric perturbations.
    Źródło:
    Opuscula Mathematica; 2015, 35, 4; 517-546
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robustness of solutions of an infinite-dimensional algebraic Sylvester equation under bounded perturbations
    Autorzy:
    Emirsajłow, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/205989.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    distributed parameter systems
    algebraic Sylvester equation
    bounded perturbations
    implemented semigroup
    Opis:
    The output regulation problem for distributed parameter systems, see e.g. Byrnes, Lauko, Gillian and Shubov (2000) and Paunonen (2011), and the observer design problem for such systems, see e.g. Emirsajłow (2012), are examples of import ant control problems, where analysis of infinite-dimensional algebraic Sylvester equations plays a crucial role. This paper studies bounded perturbations of the unbounded operators of the algebraic infinitedimensional Sylvester equation. We derive some estimate on the perturbation operator under which the algebraic Sylvester equation preserves a unique solution or, in the control systems terminology, a solution is robust under small bounded perturbations. In our approach we employ the concept of an implemented semigroup, see e.g. Alber (2001) and Emirsajłow (2012), which is a special case of the so-called bi-continuous semigroup, e.g. Farkas (2004).
    Źródło:
    Control and Cybernetics; 2013, 42, 1; 27-45
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bang-bang controls in the singular perturbations limit
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/970546.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    zaburzenia osobliwe
    miara Younga
    bang-bang
    singular perturbations
    Young measures
    Opis:
    A general form of the dynamics obtained as a limit of trajectories of singularly perturbed linear control systems is presented. The limit trajectories are described in terms of probability measure-valued maps. This allows to determine the extent to which the bang-bang principle for linear control systems is carried over to the singular limit.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 645-663
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
    Autorzy:
    Gudovich, Anastasie
    Kamenski, Mikhail
    Nistri, Paolo
    Powiązania:
    https://bibliotekanauki.pl/articles/729318.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    singular perturbations
    differential inclusions
    analytic semigroups
    multivalued compact operators
    Lipschitz selections
    Opis:
    We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset $Z_L(ε)$ of the solution set of the singularly perturbed system. This subset is the set of the Hölder continuous solutions defined in [0,d], d > 0 with prescribed exponent and constant L. We show that $Z_L(ε)$ is uppersemicontinuous at ε = 0 in the C[0,d]×C[δ,d] topology for any δ ∈ (0,d].
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 207-234
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of impulsive stochastic evolution inclusions
    Autorzy:
    Ahmed, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/729552.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    impulsive perturbations
    C₀-semigroups
    stochastic systems
    differential inclusions
    vector measures
    optimal controls
    Opis:
    In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 2; 155-184
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impulsive perturbation of C₀-semigroups and stochastic evolution inclusions
    Autorzy:
    Ahmed, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/729564.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    impulsive perturbations
    C₀-semigroups
    stochastic systems
    differential inclusions
    vector measures
    impulsive controls
    Opis:
    In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions. We prove existence of solutions and study properties of the solution set. It is also indicated how these results can be used in the study of control systems driven by vector measures.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 125-149
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Test Signal Design for Failure Detection: a Linear Programming Approach
    Autorzy:
    Scola, H. R.
    Nikoukhah, R.
    Delebecque, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/908093.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    failure detection
    large scale programming
    failure isolation
    bounded perturbations
    active detection
    Opis:
    A new methodology for the design of filters that permits failure detection and isolation of dynamic systems is presented. Assuming that the normal and the faulty behavior of a process can be modeled by two linear systems subject to inequality bounded perturbations, a method for the on-line implementation of a test signal, guaranteeing failure detection, is proposed. To improve the fault detectability of the dynamic process, appropriate test signals are injected into the system. All the computations required by the proposed method are implemented as the solution of large sparse linear optimization problems. A simple numerical example is given to illustrate the proposed procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 515-526
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Displacement of Eigenvalues When Removing a Twin Vertex
    Autorzy:
    Briffa, Johann A.
    Sciriha, Irene
    Powiązania:
    https://bibliotekanauki.pl/articles/31543314.pdf
    Data publikacji:
    2020-05-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    eigenvalues
    perturbations
    duplicate and co-duplicate vertices
    threshold graph
    nested split graph
    Opis:
    Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix. Otherwise they are termed co-duplicates, when they contribute −1 as an eigenvalue of the adjacency matrix. On removing a twin vertex from a graph, the spectrum of the adjacency matrix does not only lose the eigenvalue 0 or −1. The perturbation sends a rippling effect to the spectrum. The simple eigenvalues are displaced. We obtain a closed formula for the characteristic polynomial of a graph with twin vertices in terms of two polynomials associated with the perturbed graph. These are used to obtain estimates of the displacements in the spectrum caused by the perturbation.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2020, 40, 2; 435-450
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Anoccupational measure solution to a singularly perturbed optimal control problem
    Autorzy:
    Artstein, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/206805.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    horyzont nieskończony
    perturbacja singularna
    sterowanie optymalne
    infinite horizon
    limit occupational measures
    optimal control
    singular perturbations
    Opis:
    Employing limit occupational measures, we provide an explicit solution to a singularly perturbed optimal control problem for which the order reduction method does not apply.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 623-642
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sets in the ranges of nonlinear accretive operators in Banach spaces
    Autorzy:
    Kartsatos, Athanassios G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1289125.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    accretive operator
    m-accretive operator
    compact perturbations
    compact resolvents
    Leray-Schauder boundary condition
    mapping theorems
    Opis:
    Let X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied: (i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive; (ii) T:Ḡ→ X is continuous and accretive; (iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T). Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and $M ∩ \overline{T(∂ G)} = ∅$. Then $M ⊂ \overline{TG}$. If, moreover, Case (i) or (ii) holds and T is of type $(S_1)$, or Case (iii) holds and T is of type $(S_2)$, then M ⊂ TG. Various results of Morales, Reich and Torrejón, and the author are improved and/or extended.
    Źródło:
    Studia Mathematica; 1995, 114, 3; 261-273
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    High-gain feedback and sliding modes in infinite dimensional systems
    Autorzy:
    Levaggi, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970418.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    system nieskończenie wymiarowy
    zaburzenia osobliwe
    infinite dimensional systems
    high-gain feedback
    singular perturbations
    sliding modes
    Opis:
    This paper focuses on the connection between sliding motions and low frequency modes of high-gain feedback systems in an infinite dimensional framework. We study a particular class of abstract control systems in a Hilbert space setting and analyse their high-gain behaviour through singular perturbations. We show that the "slow" motion derived from the reduced model approximates the evolution of the closed loop after a fast transient. Moreover we prove a relation between this slow component of the high-gain feedback system and sliding motions, in the spirit, of the analogous result in the finite dimensional setting by Young, Kokotovic and Utkin (Young et al., 1977).
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 33-50
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust Stabilization for Uncertain Time-Varying Delay Constrained Systems With Delay-Dependence
    Autorzy:
    Han, Q. L.
    Mehdi, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/908298.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system opóźniania
    stabilizacja
    odporność na błędy
    time-delay systems
    stabilization
    robustness
    nonlinear parametric perturbations
    saturating actuators
    Opis:
    This paper is concerned with the problem of robust stabilization of linear time-varying delay systems containing saturating actuators in the presence of nonlinear parametric perturbations. Based on Razumikhin's approach to the stability of functional differential equations, we determine upper bounds on the time-varying delay such that the uncertain system under consideration is robustly globally or locally asymptotically stabilizable via memoryless state feedback control laws. The obtained bounds are given in terms of solutions to Lyapunov equations. Two numerical examples are included to illustrate the results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 293-311
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability kernel in finite games with perturbed payoffs
    Autorzy:
    Emelichev, Vladimir
    Nikulin, Yury
    Powiązania:
    https://bibliotekanauki.pl/articles/2183484.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    post-optimal analysis
    multiple criteria
    kernel stability radius
    independent perturbations
    finite games
    Pareto optimality
    Nash equilibrium
    Opis:
    The parametric concept of equilibrium in a finite cooperative game of several players in a normal form is introduced. This concept is defined by the partitioning of a set of players into coalitions. Two extreme cases of such partitioning correspond to Pareto optimal and Nash equilibrium outcomes, respectively. The game is characterized by its matrix, in which each element is a subject for independent perturbations., i.e. a set of perturbing matrices is formed by a set of additive matrices, with two arbitrary Hölder norms specified independently in the outcome and criterion spaces. We undertake post-optimal analysis for the so-called stability kernel. The analytical expression for supreme levels of such perturbations is found. Numerical examples illustrate some of the pertinent cases.
    Źródło:
    Control and Cybernetics; 2022, 51, 1; 6--20
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algorithm for solution of systems of singularly perturbed differential equations with adifferential turning point
    Autorzy:
    Sobchuk, Valentyn
    Zelenska, Iryna
    Laptiev, Oleksandr
    Powiązania:
    https://bibliotekanauki.pl/articles/27311440.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    singular perturbations
    asymptotics
    Airy-Langer functions
    small parameter
    turning points
    punkt zwrotny
    funkcje Airy'ego-Langera
    asymptota
    perturbacja singularna
    parametr niski
    Opis:
    The dynamic development of science requires constant improvement of approaches to modeling physical processes and phenomena. Practically all scientific problems can be described by systems of differential equations. Many scientific problems are described by systems of differential equations of a special class, which belong to the group of so-called singularly perturbed differential equations. Mathematical models of processes described by such differential equations contain a small parameter near the highest derivatives, and it was the presence of this small factor that led to the creation of a large mathematical theory. The work proposes a developed algorithm for constructing uniform asymptotics of solutions to systems of singularly perturbed differential equations.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 3; art. no. e145682
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Fourier implementation of tolerance modeling of linear elastodynamics of periodic composites
    Autorzy:
    Kula, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/122427.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    tolerance averaging
    linear elastodynamics
    periodic composites
    boundary effect behaviour
    short-wave perturbations
    tolerancyjne uśrednienie
    liniowa elastodynamika
    kompozyty periodyczne
    zagadnienie efektu brzegowego
    Opis:
    The report presents a new model of linear elastodynamics of periodic composites. The study deals with a certain extension of the ideas yield tolerance modelling. In the proposed model the displacement field is determined by an infinite number of unknowns. This disappointment seems to be apparent in many cases of periodicity since the sequence of tolerance shape functions used in the modelling procedure is not unique and opens the possibility to control the model equations. It has been formulated and solved, within the framework of the resulting model, the problem of independence short-term and long-term perturbations by linearly elastic composite solid.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 73-80
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Initial analysis of the tracking performance of the GOOSE GNSS Software-Defined Receiver
    Autorzy:
    Galas, Roman
    Kunzi, Florian
    Adolfs, Marjolijn
    Overbeck, Matthias
    Felber, Wolfgang
    Powiązania:
    https://bibliotekanauki.pl/articles/1819198.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Morska w Szczecinie. Wydawnictwo AMSz
    Tematy:
    local ionospheric perturbations
    scintillations
    single autonomous GNSS monitoring station
    continuously monitoring GNSS ground systems
    autonomous power management
    real-time processing
    software-defined receiver
    Opis:
    The GOOSE (GNSS Receiver with open software interface) Software-Defined Receiver has been developed at the Fraunhofer Institute for Integrated Circuits (IIS) in Nürnberg, Germany. The main motivation for the development of this platform was to control the receiver at all stages, from digital signal processing to the PVT domain, and to enable controlled feedback to the hardware. Besides having access to all raw data including correlation values, the GOOSE receiver also enables for example tight- or ultra-tight integration with an inertial navigation system or other dead reckoning systems, as these kinds of architectures require access to the acquisition and tracking loops. In this paper, the tracking performance of the GOOSE platform was evaluated and compared to a reference receiver (Septentrio PolaRx5S). Several long data sessions were recorded on a “zero baseline” in which both receivers used the same precise geodetic antenna that was also developed at Fraunhofer IIS. The measurements were performed in a harsh environment (obstructions, multipath, possible interferences), as well as on a site with an unobstructed sky view. Quality and performance analyses were performed using raw measurements (in the domain of primary observables) of three civil GPS signals: L1CA, L2CM, and L5. The data were processed using the “zeroEdit” module of the TUB-NavSolutions academic software for education and research. The quality of the raw observables and tracking performance were described by the following parameters: number of cycle slips detected, number of un-correctable cycle slips, number of loss of locks of the signals, number of single epoch data gaps, and the length of carrier phase arcs. The presentation is illustrated with some numerical examples.
    Źródło:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2020, 63 (135); 113-120
    1733-8670
    2392-0378
    Pojawia się w:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Development of an autonomous Global Navigation Satellite System ground station and its calibration for monitoring of local ionospheric perturbations
    Autorzy:
    Galas, R.
    Čokrlić, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/135456.pdf
    Data publikacji:
    2016
    Wydawca:
    Akademia Morska w Szczecinie. Wydawnictwo AMSz
    Tematy:
    local ionospheric perturbations
    scintillations
    single autonomous GNSS monitoring station
    continuously monitoring GNSS ground systems
    autonomous power management
    real-time processing
    hardware calibration
    Opis:
    A state-of-the-art monitoring global navigation satellite system (GNSS) system has been originally designed and developed for various positioning and atmosphere-sensing purposes by the authors and updated to fulfil the challenging requirements for monitoring of ionospheric perturbations. The paper discusses various scientific and technically challenging issues, such as the requirement for an autonomous operating ground GNSS station and how this can be fulfilled. Basic algorithms for monitoring of local ionospheric perturbations with GNSS receivers are described. The algorithms require that inter-frequency hardware biases be known. Although the satellite transmitter biases can be obtain from the IGS services, the user takes responsibility for the estimation of frequency dependent receiver hardware biases and for the control of their variations. The instrumental signal delays are important for timing applications and GNSS monitoring of the ionosphere and are also required for recovering of the integer carrier-phase ambiguities. The paper presents an algorithm for calibration of inter-frequency biases of global positioning system (GPS) receivers and validates the first set of results.
    Źródło:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2016, 45 (117); 54-59
    1733-8670
    2392-0378
    Pojawia się w:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Non-fragile event-triggered control of positive switched systems with random nonlinearities and controller perturbations
    Autorzy:
    Wu, Yanqi
    Zhang, Junfeng
    Fu, Shizhou
    Powiązania:
    https://bibliotekanauki.pl/articles/2086895.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    positive switched systems
    non-fragile event-triggered control
    random nonlinearities
    random controller perturbations
    systemy przełączane dodatnio
    kontrola niedelikatna wyzwalana zdarzeniami
    nieliniowość losowa
    perturbacja kontrolera losowa
    Opis:
    This paper investigates the non-fragile event-triggered control of positive switched systems with random nonlinearities and controller perturbations. The random nonlinearities and controller perturbations are assumed to obey Bernoulli and Binomial sequence, respectively. A class of linear event-triggering conditions is introduced. A switched linear co-positive Lyapunov function is constructed for the systems. For the same probability with respect to nonlinearities and controller perturbations in each subsystem, a non-fragile controller of positive switched systems is designed in terms of linear programming. Then, the different probability case is considered and the corresponding non-fragile event-triggered control is explored. Finally, the effectiveness of theoretical findings is verified via two examples.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 5; e138566, 1--12
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological sensitivity analysis for a coupled nonlinear problem with an obstacle
    Autorzy:
    Abdelbari, M.
    Nachi, K.
    Sokolowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/205653.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    topological derivative
    shape optimization
    SteklovPoincaroperator
    Signorini problem
    variational inequality
    Helmholtz equation
    coupled partial differential equations
    conical differential
    asymptotic expansions
    singular perturbations of geometrical Romains
    truncated domain
    Opis:
    The Topological Derivative has been recognized as a powerful tool in obtaining the optimal topology for several kinds of engineering problems. This derivative provides the sensitivity of the cost functional for a boundary value problem for nucleation of a small hole or a small inclusion at a given point of the domain of integration. In this paper, we present a topological asymptotic analysis with respect to the size of singular domain perturbation for a coupled nonlinear PDEs system with an obstacle on the boundary. The domain decomposition method, referring to the SteklovPoincar´epseudo-differential operator, is employed for the asymptotic study of boundary value problem with respect to the size of singular domain perturbation. The method is based on the observation that the known expansion of the energy functional in the ring coincides with the expansion of the Steklov-Poincar´e operator on the boundary of the truncated domain with respekt to the small parameter, which measures the size of perturbation. In this way, the singular perturbation of the domain is reduced to the regular perturbation of the Steklov-Poincar´e map ping for the ring. The topological derivative for a tracking type shape functional is evaluated so as to obtain the useful formula for application in the numerical methods of shape and topology optimization.
    Źródło:
    Control and Cybernetics; 2017, 46, 1; 5-25
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence, uniqueness and parameter perturbation analysis results of a fractional integro-differential boundary problem
    Autorzy:
    Zhang, Nan
    Zhang, Lingling
    Ngungu, Mercy
    Adeniji, Adejimi
    Addai, Emmanuel
    Powiązania:
    https://bibliotekanauki.pl/articles/27311450.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    stability analysis
    fractional differential equation
    integro-differential boundary condition
    existence
    uniqueness
    parameter perturbations
    istnienie
    jednoznaczność
    analiza stabilności
    zaburzenia parametrów
    ułamkowe równanie różniczkowe
    warunek brzegowy całkowo-różniczkowy
    Opis:
    In the formulation, the existence, uniqueness and stability of solutions and parameter perturbation analysis to Riemann-Liouville fractional differential equations with integro-differential boundary conditions are discussed by the properties of Green’s function and cone theory. First, some theorems have been established from standard fixed point theorems in a proper Banach space to guarantee the existence and uniqueness of positive solution. Moreover, we discuss the Hyers-Ulam stability and parameter perturbation analysis, which examines the stability of solutions in the presence of small changes in the equation main parameters, that is, the derivative order η, the integral order β of the boundary condition, the boundary parameter ξ , and the boundary value τ. As an application, we present a concrete example to demonstrate the accuracy and usefulness of the proposed work. By using numerical simulation, we obtain the figure of unique solution and change trend figure of the unique solution with small disturbances to occur in different kinds of parameters.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 4; art. no. e145938
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mathematical model and method of determination of amplitude-frequency characteristics of corrugated cylindrical shells for geometrically nonlinear vibrations
    Autorzy:
    Marchuk, Mykhailo
    Goriachko, Taras
    Kindratskyy, Bohdan
    Pakosh, Vira
    Powiązania:
    https://bibliotekanauki.pl/articles/2146612.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    corrugated shell
    geometrically nonlinear vibrations
    mathematical model
    generalized method of perturbations
    amplitude-frequency characteristics
    powłoka falista
    drgania geometrycznie nieliniowe
    model matematyczny
    uogólniona metoda perturbacji
    charakterystyka amplitudowo-częstotliwościowa
    Opis:
    On the basis of spatial geometrically nonlinear theory of elasticity by using quadratic approximations for components of the vector of displacements along the normal coordinate to the median surface is developed a new mathematical model of nonlinear dynamics of cylindrical shells with corrugated configuration for median surface. The perturbation method for the solution of systems of nonlinear differential equations for problems of determination of amplitude-frequency characteristics is generalized. In a combination of finite element and generalized perturbations methods, a new methodology for solving problems of free geometrically nonlinear vibrations of shells with complex guide geometry was developed and verified. With its help the influence of geometrical parameters of corrugating at circular coordinate on the main frequency of the elongated cylindrical panel is investigated.
    Źródło:
    Vibrations in Physical Systems; 2020, 31, 3; art. no. 2020316
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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