TY - JOUR
T1 - Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems
AU - Hu, Bo
AU - Zhai, Guisheng
AU - Michel, Anthony N.
N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2002/9/20
Y1 - 2002/9/20
N2 - 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 ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
AB - 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 ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
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U2 - 10.1080/00207170210162096
DO - 10.1080/00207170210162096
M3 - Article
AN - SCOPUS:0037145125
VL - 75
SP - 1127
EP - 1135
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 14
ER -