Reachability realization and stabilizability of switched linear   discrete-time systems

doi:10.1016/S0022-247X(02)00540-1

CORC > 北京大学 > 工学院

	Reachability realization and stabilizability of switched linear discrete-time systems
	Xie, GM ; Wang, L
刊名	数学分析与应用杂志
	2003
关键词	switched linear discrete-time system switching sequence reachable state set reachability realization controllable state set controllability realization stabilizability DYNAMICAL-SYSTEMS HYBRID SYSTEMS CONTROLLABILITY STABILITY
DOI	10.1016/S0022-247X(02)00540-1
英文摘要	In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for "switching" among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) state set of this basic switching sequence is equal to the reachable (controllable) state set of the system. Hence, the reachability (controllability) can be realized by using only one switching sequence. We also discuss the stabilizability of switched systems, and obtain a sufficient condition for stabilizability. Two numeric examples are given to illustrate the results. (C) 2003 Elsevier Science (USA). All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 59; ARTICLE; 2; 209-220; 280
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/255965]
专题	工学院
推荐引用方式 GB/T 7714	Xie, GM,Wang, L. Reachability realization and stabilizability of switched linear discrete-time systems[J]. 数学分析与应用杂志,2003.
APA	Xie, GM,&Wang, L.(2003).Reachability realization and stabilizability of switched linear discrete-time systems.数学分析与应用杂志.
MLA	Xie, GM,et al."Reachability realization and stabilizability of switched linear discrete-time systems".数学分析与应用杂志 (2003).