An extension of LaSalle's invariance principle and its application to multi-agent consensus

doi:10.1109/TAC.2008.928332

CSpace > 系统科学研究所

	An extension of LaSalle's invariance principle and its application to multi-agent consensus
	Cheng, Daizhan1 ; Wang, Jinhuan 1; Hu, Xiaoming 2
	2008-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	53 期号:7 页码:1765-1770
摘要	In the paper, an extension of LaSalle's Invariance Principle to a class of switched linear systems is studied. One of the motivations is the consensus problem in multi-agent systems. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, this paper allows that the switching modes are only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability is obtained. Then it is used to solve the consensus reaching problem of certain multi-agent systems in which each agent is modeled by a double integrator, and the associated interaction graph is switching and is assumed to be only jointly connected.
关键词	LaSalle's invariance principle multi-agent consensus switched linear systems weak common quadratic Lyapunov function
DOI	10.1109/TAC.2008.928332
语种	英语
资助项目	National Natural Science Foundation (NNSF) of China[60221301] ; National Natural Science Foundation (NNSF) of China[60674022] ; National Natural Science Foundation (NNSF) of China[60736022] ; Sida-VR Swedish Research Links[348-2006-5894]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000259263900025
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6618
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Royal Inst Technol, Optimizat & Syst Theory & ACCESS Linnaeus Ctr, S-10044 Stockholm, Sweden
推荐引用方式 GB/T 7714	Cheng, Daizhan,Wang, Jinhuan,Hu, Xiaoming. An extension of LaSalle's invariance principle and its application to multi-agent consensus[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2008,53(7):1765-1770.
APA	Cheng, Daizhan,Wang, Jinhuan,&Hu, Xiaoming.(2008).An extension of LaSalle's invariance principle and its application to multi-agent consensus.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,53(7),1765-1770.
MLA	Cheng, Daizhan,et al."An extension of LaSalle's invariance principle and its application to multi-agent consensus".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 53.7(2008):1765-1770.