Autor:
Zhai, Guisheng ; Xu, Xuping ; Lin, Hai ; Lui, Derong
Współtwórca:
Korbicz, Józef (1951- ) - red.
Tytuł:
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
switched systems ; common quadratic Lyapunov functions ; Lie algebra ; exponential stability ; arbitrary switching ; dwell time scheme
Abstract:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 17, number 4 (2007) ; kliknij tutaj, żeby przejść