Temat: Lyapunov functional - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A Lyapunov functional for a system with a time-varying delay
Autorzy:: Duda, J.
Powiązania:: https://bibliotekanauki.pl/articles/331415.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: funkcjonał Lapunowa
system opóźniania
Lyapunov functional
time delay system
LTI system
Opis:: The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 327-337
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:: 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: 3.

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: 4.

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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