Stability of switched nonlinear systems via extensions of LaSalle's invariance principle

doi:10.1007/s11432-009-0006-z

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	Stability of switched nonlinear systems via extensions of LaSalle's invariance principle
	Wang JinHuan; Cheng DaiZhan
	2009
发表期刊	SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
ISSN	1009-2757
卷号	52 期号:1 页码:84-90
摘要	This paper studies the extension of LaSalle's invariance principle for switched nonlinear systems. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, this paper allows the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle's invariance principle for global asymptotic stability of switched nonlinear systems are obtained using the method of common joint Lyapunov function.
关键词	LaSalle's invariance principle switched systems weak common Lyapunov function asymptotically stable
DOI	10.1007/s11432-009-0006-z
语种	英语
资助项目	National Natural Science Foundation of China[60221301] ; National Natural Science Foundation of China[60674022] ; National Natural Science Foundation of China[60736022]
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000262702000009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7708
专题	系统科学研究所
通讯作者	Wang JinHuan
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang JinHuan,Cheng DaiZhan. Stability of switched nonlinear systems via extensions of LaSalle's invariance principle[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2009,52(1):84-90.
APA	Wang JinHuan,&Cheng DaiZhan.(2009).Stability of switched nonlinear systems via extensions of LaSalle's invariance principle.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,52(1),84-90.
MLA	Wang JinHuan,et al."Stability of switched nonlinear systems via extensions of LaSalle's invariance principle".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52.1(2009):84-90.