| Stabilization of a class of switched nonlinear systems |
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| 作者姓名： | Daizhan CHENG Gang FENG Zairong XI |
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| 作者单位： | [1]Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China [2]Department of Manufacturing Engineering and Engineering Management, City University of HongKong, HongKong |
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| 基金项目： | This work is partly supported by the National Natural Science Foundation of China （No. 60274010, 60221301, 60334040, 60228003）. |
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| 摘 要： | The stabilization of a class of switched nonlinear systems is investigated in the paper. The systems concerned are of （generalized） switched Byrnes-Isidori canonical form, which has all switched models in （generalized） Byrnes- Isidori canonical form. First, a stability result of switched systems is obtained. Then it is used to solve the stabilization problem of the switched nonlinear control systems. In addition, necessary and sufficient conditions are obtained for a switched affine nonlinear system to be feedback equivalent to （generalized） switched Byrnes-Isidori canonical systems are presented. Finally, as an application the stability of switched lorenz systems is investigated.
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| 关 键 词： | 非线性转换系统 稳定性 规范模式 Lyapunov函数 |
| 收稿时间： | 2005-09-30 |
| 修稿时间： | 2005-12-09 |
Stabilization of a class of switched nonlinear systems |
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| Daizhan CHENG,Gang FENG,Zairong XI.Stabilization of a class of switched nonlinear systems[J].Journal of Control Theory and Applications,2006,4(1):53-61. |
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| Authors: | Daizhan CHENG Gang FENG Zairong XI |
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| Affiliation: | 1. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
2. Department of Manufacturing Engineering and Engineering Management, City University of HongKong, HongKong |
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| Abstract: | The stabilization of a class of switched nonlinear systems is investigated in the paper. The systems con- cerned are of (generalized) switched Byrnes-Isidori canonical form, which has all switched models in (generalized) Byrnes- Isidori canonical form. First, a stability result of switched systems is obtained. Then it is used to solve the stabilization prob- lem of the switched nonlinear control systems. In addition, necessary and sufficient conditions are obtained for a switched affine nonlinear system to be feedback equivalent to (generalized) switched Byrnes-Isidori canonical systems are presented. Finally, as an application the stability of switched lorenz systems is investigated. |
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| Keywords: | Switched nonlinear systems Stabilization Canonical form Common Lyapunov function |
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