| On stability of switched linear systems with perturbed switching paths |
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| 作者姓名： | Zhendong SUN Shuzhi S. GE |
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| 作者单位： | [1]Center for Control and Optimization, South China University of Technology, Guangzhou Guangdong 510641, China [2]Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore |
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| 基金项目： | This work was partially supported by the National Natural Science Foundation of China （No. 60428304）. |
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| 摘 要： | 1 Introduction The study of switched and hybrid dynamical systems has attracted much attention since 1990s. A switched linear sys- tem is a hybrid system which consists of several linear time- invariant subsystems and a switching path that orchestrates the switching among them. The importance of the switched linear systems scheme stems from the facts that i) the frame- work represents a wide class of practical systems, ii) the two-level system structure provides an effective multiple- controll…
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| 关 键 词： | 转换系统 转换路径 集聚性 转换距离 稳定性 |
| 收稿时间： | 2005-09-30 |
| 修稿时间： | 2005-12-11 |
On stability of switched linear systems with perturbed switching paths |
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| Zhendong SUN,Shuzhi S. GE.On stability of switched linear systems with perturbed switching paths[J].Journal of Control Theory and Applications,2006,4(1):18-25. |
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| Authors: | Zhendong SUN Shuzhi S GE |
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| Affiliation: | 1. Center for Control and Optimization, South China University of Technology,Guangzhou Guangdong 510641, China
2. Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore |
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| Abstract: | 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. |
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| Keywords: | Switched systems Switching path Consistent convergency Switching distance |
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