Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems
Authors:
- Bo HuBHBo Hu
- Guisheng ZhaiGZGuisheng Zhai
- Anthony N. MichelAMAnthony N. Michel
- 1 January 2002
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 75 (14) , 1127-1135
Abstract
In this paper we establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in R 2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.Keywords
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