A geometric approach for reachability and observability of linear switched impulsive systems

被引：24
|
作者：
Zhao, Shouwei [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期
关键词：
Impulsive systems; Switched systems; Reachability; Observability; Geometric method; DIFFERENTIAL-INCLUSIONS; BANACH-SPACES; CONTROLLABILITY; STABILITY; STABILIZABILITY; REALIZATION; MINIMALITY; L-2-GAIN;
D O I：
10.1016/j.na.2010.01.052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the reachability and observability of linear switched impulsive systems with singular impulse matrices. First some new concepts with respect to the reachability and unobservability are introduced. Especially, span reachability is proposed because the reachable sets of switched impulsive systems do not always constitute subspaces. Then the geometric characterization of the span reachable and unobservable sets is presented. Moreover, the relations between the span reachable set, unobservable set and the invariant subspaces of such systems are discussed. Finally, corresponding criteria applied to linear impulsive systems and linear switched systems are also discussed. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4221 / 4229
页数：9
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