Title :
Common quadratic Lyapunov-like function with associated switching regions for two unstable second-order LTI systems
Author :
Hu, Bo ; Zhai, Guisheng ; Michel, Anthony E.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically for a class of second-order switched systems consisting of two unstable subsystems, explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to conic switching laws
Keywords :
Lyapunov methods; large-scale systems; stability; associated switching regions; common quadratic Lyapunov-like function; conic switching laws; necessary and sufficient conditions; qualitative analysis; second-order switched systems; unstable second-order LTI systems; Control systems; Oscillators; Output feedback; Position measurement; Stability; State feedback; Sufficient conditions; Switched systems; System testing; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912052
