Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle

doi:10.1080/00207170701793814

	Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle
	Yuan, Yanyan; Cheng, Daizhan
刊名	INTERNATIONAL JOURNAL OF CONTROL
	2008
卷号	81 期号:10 页码:1590-1599
关键词	switched linear systems common weak Lyapunov function LaSalle's invariance principle uniformly asymptotical stablility
ISSN号	0020-7179
DOI	10.1080/00207170701793814
英文摘要	This paper investigates the problem of uniformly asymptotical stability (UAS) and stabilisation of planar switched linear systems using LaSalle's invariance principle of switched systems. First, we show that a common weak quadratic Lyapunov function (WQLF) is enough to assure the UAS of a switched linear system with stable modes. Then the necessary and sufficient conditions for the existence of common WQLF are obtained. Secondly, we consider the problem of uniformly asymptotical stabilisation (UASZ) of single-input planar switched linear systems. Necessary and sufficient conditions for the closed-loop system with proper feedback to share a common WQLF are presented. It is also proved that a common WQLF is enough to assure the UAS of the closed-loop system.
WOS研究方向	Automation & Control Systems
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000258311500006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/5704]
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Yanyan
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Yanyan,Cheng, Daizhan. Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle[J]. INTERNATIONAL JOURNAL OF CONTROL,2008,81(10):1590-1599.
APA	Yuan, Yanyan,&Cheng, Daizhan.(2008).Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle.INTERNATIONAL JOURNAL OF CONTROL,81(10),1590-1599.
MLA	Yuan, Yanyan,et al."Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle".INTERNATIONAL JOURNAL OF CONTROL 81.10(2008):1590-1599.