- Tytuł:
- Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete–time subsystems
- Autorzy:
-
Zhai, G.
Xu, X.
Lin, H.
Liu, D. - Powiązania:
- https://bibliotekanauki.pl/articles/929816.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
układ komutowany
funkcja Lapunowa
algebra Lie'go
stateczność wykładnicza
switched systems
common quadratic Lyapunov functions
Lie algebra
exponential stability
arbitrary switching
dwell time scheme - Opis:
- We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 447-454
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł