TY - JOUR
T1 - Common quadratic lyapunov-like function with associated switching regions for two unstable second-order LTI systems
AU - Hu, B.
AU - Zhai, G.
AU - Michel, A. N.
PY - 2000/12
Y1 - 2000/12
N2 - 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, we 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 the recent work on conic switching laws.
AB - 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, we 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 the recent work on conic switching laws.
KW - Conic switching laws
KW - Quadratic Lyapunov-like functions
KW - Second-order switched systems
KW - Stabilization
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U2 - 10.1109/CDC.2000.912052
DO - 10.1109/CDC.2000.912052
M3 - Article
AN - SCOPUS:0034439324
SN - 0191-2216
VL - 2
SP - 1391
EP - 1396
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -