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	Stability and stabilization of impulsive hybrid dynamical systems
	Xie, Guangming ; Chu, Tianguang ; Wang, Long
	2005
英文摘要	Many practical systems in physics, biology, engineering, and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes. In this paper, stability analysis and stabilization synthesis problems are investigated for a class of hybrid dynamical systems which consisting of a family of linear constant subsystems and a rule that orchestrates the switching between them. Furthermore, there exist impulses at the switching instants. A switched quadratic Lyapunov function is introduced to check asymptotic stability of such systems. Two equivalent necessary and sufficient conditions for the existence of such a Lyapunov function are established, respectively. The conditions are in linear matrix inequality form and can be used to solve stabilization synthesis problem. ? Springer-Verlag Berlin Heidelberg 2005.; EI; 0
语种	英语
内容类型	会议论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/328941]
专题	工学院
推荐引用方式 GB/T 7714	Xie, Guangming,Chu, Tianguang,Wang, Long. Stability and stabilization of impulsive hybrid dynamical systems[C]. 见:.

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