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    Wyświetlanie 1-11 z 11
    Tytuł:
    Output Stabilization for Infinite-Dimensional Bilinear Systems
    Autorzy:
    Zerrik, E. H.
    Ouzahra, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/911139.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system dwuliniowy nieskończony
    stabilizacja wyjściowa
    stabilizacja dziedzinowa
    infinite bilinear systems
    output stabilization
    regional stabilization
    Opis:
    The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 187-195
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Separation Principle for Nonlinear Systems: a Bilinear Approach
    Autorzy:
    Hammani, M. A.
    Jerbi, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/908331.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ nieliniowy
    układ dwuliniowy
    obserwator
    stabilizacja
    nonlinear systems
    bilinear systems
    observer
    stabilization
    Opis:
    In this paper we investigate the local stabilizability of single-input nonlinear affine systems by means of an estimated state feedback law given by a bilinear observer. The associated bilinear approximating system is assumed to be observable for any input and stabilizable by a homogeneous feedback law of degree zero. Furthermore, we discuss the case of planar systems which admit bad inputs (i.e. the ones that make bilinear systems unobservable). A separation principle for such systems is given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 481-492
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust stabilization of discrete linear repetitive processes with switched dynamics
    Autorzy:
    Bochniak, J.
    Gałkowski, K.
    Rogers, E.
    Kummert, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908381.pdf
    Data publikacji:
    2006
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    proces powtarzalny
    system 2D
    stabilizacja
    niepewność
    repetitive processes
    2D systems
    switched dynamics
    stabilization
    uncertainty
    Opis:
    Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 441-462
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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:
    Positivity and stabilization of fractional 2D linear systems described by the Roesser model
    Autorzy:
    Kaczorek, T.
    Rogowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907776.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    dodatniość
    stabilizacja
    system ułamkowy
    model Roessera
    system 2D
    positivity
    stabilization
    fractional systems
    Roesser model
    2D systems
    Opis:
    A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 85-92
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local stability conditions for discrete-time cascade locally recurrent neural networks
    Autorzy:
    Patan, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/907772.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sieć lokalnie rekurencyjna
    stabilność
    stabilizacja
    uczenie się
    optymalizacja ograniczona
    locally recurrent neural network
    stability
    stabilization
    learning
    constrained optimization
    Opis:
    The paper deals with a specific kind of discrete-time recurrent neural network designed with dynamic neuron models. Dynamics are reproduced within each single neuron, hence the network considered is a locally recurrent globally feedforward. A crucial problem with neural networks of the dynamic type is stability as well as stabilization in learning problems. The paper formulates local stability conditions for the analysed class of neural networks using Lyapunov's first method. Moreover, a stabilization problem is defined and solved as a constrained optimization task. In order to tackle this problem, a gradient projection method is adopted. The efficiency and usefulness of the proposed approach are justified by using a number of experiments.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 23-34
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust controlled positive delayed systems with interval parameter uncertainties: A delay uniform decomposition approach
    Autorzy:
    Elloumi, W.
    Mehdi, D.
    Chaabane, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330766.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    delay system
    robust stabilization
    positive system
    parametric constraints
    delay decomposition
    LMIs
    układ z opóźnieniem
    stabilizacja odporna
    układ dodatni
    ograniczenia parametryczne
    Opis:
    This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov–Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 441-450
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the finite time stabilization via robust control for uncertain disturbed systems
    Autorzy:
    Ordaz, Patricio
    Alazki, Hussain
    Sánchez, Bonifacio
    Ordaz-Oliver, Mario
    Powiązania:
    https://bibliotekanauki.pl/articles/2201017.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    finite time bounded stability
    uncertain disturbed system
    robust stabilization
    ultimate bound minimization
    stabilność ograniczona
    układ niepewny
    stabilizacja odporna
    minimalizacja ograniczona
    Opis:
    This paper deals with the finite-time stabilization problem for a class of uncertain disturbed systems using linear robust control. The proposed algorithm is designed to provide the robustness of a linear feedback control scheme such that system trajectories arrive at a small-size attractive set around an unstable equilibrium in a finite time. To this end, an optimization problem with a linear matrix inequality constraint is presented. This means that the effects of external disturbances, as well as matched and mismatched uncertain dynamics, can be significantly reduced. Finally, the performance of the suggested closed-loop control strategies is shown by the trajectory tracking of an unmanned aerial vehicle flight.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 71--82
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations
    Autorzy:
    El Fezazi, N.
    El Haoussi, F.
    Tissir, E. H.
    Alvarez, T.
    Tadeo, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/330988.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    robust stabilization
    sampled data
    time-delay system
    input saturation
    admissible initial conditions
    LMI
    stabilizacja odporna
    dane próbkowane
    układ z opóźnieniem
    nasycenie wejściowe
    Opis:
    Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 111-122
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quadratic performance analysis of switched affine time-varying systems
    Autorzy:
    Li, W.
    Huang, C.
    Zhai, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/330032.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    switched affine system
    time varying system
    quadratic stabilization
    tracking
    L2 gain
    switching law
    differential LMIs
    observer
    system zmienny w czasie
    stabilizacja kwadratowa
    śledzenie
    obserwator
    Opis:
    We analyze quadratic performance for switched systems which are composed of a finite set of affine time-varying subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem has desired quadratic performance. The quadratic performance indexes we deal with include stability, tracking and L2 gain. We show that if a linear convex combination of subsystem matrices is uniformly Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched affine system is quadratically stable at the origin. In the case where the convex combination of affine vectors is nonzero, we show that the tracking control problem can be posed and solved using a similar switching strategy. Finally, we consider the L2 gain analysis problem for the switched affine time-varying systems under state feedback.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 429-440
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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
      Wyświetlanie 1-11 z 11

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