Commuting and stable feedback design for switched linear systems

doi:10.1016/j.na.2005.05.065

CORC > 北京大学 > 工学院

	Commuting and stable feedback design for switched linear systems
	Yang, HF ; Xie, GM ; Chu, TG ; Wang, L
刊名	nonlinear analysis theory methods applications
	2006
关键词	switched linear systems commuting and stable feedback design common admissible eigenvector set DISCRETE-TIME-SYSTEMS HYBRID SYSTEMS LYAPUNOV FUNCTION CONTROLLABILITY REACHABILITY STABILITY STABILIZATION LAWS
DOI	10.1016/j.na.2005.05.065
英文摘要	In the paper, commuting and stable feedback design for switched linear systems is investigated. This problem is formulated as to build up suitable state feedback controller for each subsystem such that the closed-loop systems are not only asymptotically stable but also commuting each other. A new concept, common admissible eigenvector set (CAES), is introduced to establish necessary/sufficient conditions for commuting and stable feedback controllers. For second-order systems, a necessary and sufficient condition is established. Moreover, a parametrization of the CAES is also obtained. The motivation comes from stabilization of switched linear systems which consist of a family of LTI systems and a switching law specifying the switching between them, where if all the subsystems are stable and commuting each other, then the total system is stable under arbitrary switching. (c) 2005 Elsevier Ltd. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 6; ARTICLE; 2; 197-216; 64
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/252381]
专题	工学院
推荐引用方式 GB/T 7714	Yang, HF,Xie, GM,Chu, TG,et al. Commuting and stable feedback design for switched linear systems[J]. nonlinear analysis theory methods applications,2006.
APA	Yang, HF,Xie, GM,Chu, TG,&Wang, L.(2006).Commuting and stable feedback design for switched linear systems.nonlinear analysis theory methods applications.
MLA	Yang, HF,et al."Commuting and stable feedback design for switched linear systems".nonlinear analysis theory methods applications (2006).