On stability of switched linear systems with perturbed switching paths

作     者：Zhendong SUN Shuzhi S. GE 

作者机构：Center for Control and Optimization South China University of Technology Guangzhou Guangdong 510641 China Department of Electrical and Computer Engineering National University of Singapore 117576 Singapore 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2006年第4卷第1期

页      面：18-25页

学科分类：0711[理学-系统科学] 07[理学] 081104[工学-模式识别与智能系统] 08[工学] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：This work was partially supported by the National Natural Science Foundation of China (No. 60428304) 

主　　题：Switched systems Switching path Consistent convergency Switching distance 

摘      要：This paper addresses the stability issue of switched linear systems with perturbed switching paths. First, by introducing the notions of child-path and parent-path, we are able to define the distance between two switching paths by means of their switching matrices chains. Next, we present the nice properties of the defined distance. Then, a stability criterion is presented for a class of switched linear systems with perturbed switching paths. Finally, an illustrative example is presented to verify the effectiveness of the approach.