Temat: linear stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Simple conditions for practical stability of positive fractional discrete-time linear systems
Autorzy:: Busłowicz, M.
Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/907662.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: system liniowy
system dyskretno-czasowy
system ułamkowy
stateczność
stateczność praktyczna
linear system
positive
discrete-time
fractional
stability
practical stability
Opis:: In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 263-269
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: On Delay-Dependent Stability for Neutral Delay-Differential Systems
Autorzy:: Han, Q. L.
Powiązania:: https://bibliotekanauki.pl/articles/908069.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: opóźnienie czasowe
opóźnienie zależne
stability
time delay
neutral system
linear matrix inequality (LMI)
Opis:: This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 965-976
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Robust stability of positive continuous-time linear systems with delays
Autorzy:: Busłowicz, M.
Powiązania:: https://bibliotekanauki.pl/articles/908143.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: czas ciągły
system liniowy
opóźnienie
stabilność odporna
niepewność liniowa
positive continuous-time linear system
delay
robust stability
linear uncertainty
interval system
Opis:: The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 665-670
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

Tytuł:: Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
Autorzy:: Ostalczyk, P.
Powiązania:: https://bibliotekanauki.pl/articles/330106.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: rachunek ułamkowy
system dyskretno-czasowy
system liniowy
fractional calculus
linear-discrete time system
stability domain
Opis:: Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 533-538
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Analysis of positive linear continuous-time systems using the conformable derivative
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/331153.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: conformable fractional derivative
positive linear system
system stability
pochodna ułamkowa
układ liniowy dodatni
stabilność systemu
Opis:: Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional linear systems based on the Caputo and conformable definitions are compared.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2018, 28, 2; 335-340
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Stabilization of Second-order Systems by Non-linear Feedback
Autorzy:: Skruch, P.
Powiązania:: https://bibliotekanauki.pl/articles/907952.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: układ drugiego rzędu
teoria stabilności
sterowanie nieliniowe
second-order system
stability theory
non-linear feedback
Opis:: A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 455-460
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

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

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Skocz do pozycji: 9.

Tytuł:: LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:: Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:: https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:: This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Design of linear feedback for bilinear control systems
Autorzy:: Belozyorov, V. Y.
Powiązania:: https://bibliotekanauki.pl/articles/908500.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
system of ordinary quadratic differential equations
bilinear control system
linear control law
cone of stability
feedback
closed-loop system
Opis:: Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 493-511
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: Stability of interval positive fractional discrete-time linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/331118.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: interval system
positive system
fractional system
linear discrete-time system
stability
system przedziałowy
układ dodatni
układ ułamkowy
układ liniowy
układ dyskretno-czasowy
Opis:: The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 451-456
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: Design of unknown input fractional-order observers for fractional-order systems
Autorzy:: N’Doye, I.
Darouach, M.
Voos, H.
Zasadzinski, M.
Powiązania:: https://bibliotekanauki.pl/articles/330946.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional calculus
fractional order systems
fractional order observers
existence condition
linear matrix inequality
unknown input
stability
ułamkowy rachunek różniczkowy
układ ułamkowego rzędu
liniowa nierówność macierzowa
Opis:: This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1 ≤ α < 2 and 0 < α ≤1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 491-500
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

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

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Skocz do pozycji: 14.

Tytuł:: H-infinity control of discrete-time linear systems constrained in state by equality constraints
Autorzy:: Filasová, A.
Krokavec, D.
Powiązania:: https://bibliotekanauki.pl/articles/330125.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: układ dyskretny
liniowa nierówność macierzowa
sprzężenie zwrotne
algorytm sterowania
układ singularny
equality constraints
discrete time systems
linear matrix inequality
state feedback
control algorithms
quadratic stability
singular systems
Opis:: In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Observer-based controller design of time-delay systems with an interval time-varying delay
Autorzy:: Thuan, M. V.
Phat, V. N.
Trinh, H.
Powiązania:: https://bibliotekanauki.pl/articles/331338.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sprzężenie zwrotne
opóźnienie czasowo zależne
liniowa nierówność macierzowa
funkcjonał Lapunowa-Krasowskiego
stabilność wykładnicza
observer based feedback control
interval time-varying delay
linear matrix inequality
Lyapunov-Krasovskii functional
exponential stability
Opis:: This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed \alfa-convergence rate. The design of an observer based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 921-927
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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