- Tytuł:
- Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional
- Autorzy:
-
Stojanovic, S. B.
Debeljkovic, D. Lj.
Antic, D. S. - Powiązania:
- https://bibliotekanauki.pl/articles/200145.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
singular systems
time-delay
LMIs
finite-time stability
stabilizing controllers
cone complementarity
linearization
cone complementarity linearization algorithm
systemy pojedyńcze
czas opóźnienia
stabilność w czasie skończonym
kontrolery stabilizujące
komplementarność
linearyzacja
algorytm cone complementarity linearization - Opis:
- In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism of the stability criteria in comparison to estimation of the lower bound on LLF without this function. To solve the finite-time stabilization problem, a stabilizing linear state controller is designed by exploiting the cone complementarity linearization algorithm. Two numerical examples are given to illustrate the effectiveness of the proposed method.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 2; 479-487
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł