An extension of LaSalle's Invariance Principle for a class of switched linear systems

doi:10.1016/j.sysconle.2009.08.008

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	An extension of LaSalle's Invariance Principle for a class of switched linear systems
	Wang, Jinhuan 1,3; Cheng, Daizhan2 ; Hu, Xiaoming 3
刊名	SYSTEMS & CONTROL LETTERS
	2009-10-01
卷号	58 期号:10-11 页码:754-758
关键词	LaSalle's Invariance Principle Switched linear systems Weak common quadratic Lyapunov function
ISSN号	0167-6911
DOI	10.1016/j.sysconle.2009.08.008
英文摘要	In this paper LaSalle's Invariance Principle for switched linear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper the switching modes are allowed to be only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability of switched linear systems is proposed provided that the kernels of derivatives of a common quadratic Lyapunov function with respect to the switching modes are disjoint (except the origin). (C) 2009 Elsevier B.V. All rights reserved.
资助项目	NNSF of China[60221301] ; NNSF of China[60334040] ; Sida-VR Swedish Research Links[348-2006-5894]
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000271338400008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/8842]
专题	系统科学研究所
通讯作者	Hu, Xiaoming
作者单位	1.Hebei Univ Technol, Sch Sci, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
推荐引用方式 GB/T 7714	Wang, Jinhuan,Cheng, Daizhan,Hu, Xiaoming. An extension of LaSalle's Invariance Principle for a class of switched linear systems[J]. SYSTEMS & CONTROL LETTERS,2009,58(10-11):754-758.
APA	Wang, Jinhuan,Cheng, Daizhan,&Hu, Xiaoming.(2009).An extension of LaSalle's Invariance Principle for a class of switched linear systems.SYSTEMS & CONTROL LETTERS,58(10-11),754-758.
MLA	Wang, Jinhuan,et al."An extension of LaSalle's Invariance Principle for a class of switched linear systems".SYSTEMS & CONTROL LETTERS 58.10-11(2009):754-758.