| 一类非线性切换系统的稳定性分析 |
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| 引用本文： | 王仁明,关治洪,刘新芝.一类非线性切换系统的稳定性分析[J].系统工程与电子技术,2004,26(1):68-71. |
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| 作者姓名： | 王仁明 关治洪 刘新芝 |
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| 作者单位： | 1. 华中科技大学控制科学与工程系,湖北,武汉,430074
2. 华中科技大学控制科学与工程系,湖北,武汉,430074;滑铁卢大学应用数学系,加拿大,安大略·滑铁卢 N2L 3G1 |
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| 基金项目： | 国家自然科学基金资助课题(69774038，60274004) |
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| 摘 要： | 主要研究了一类非线性切换系统在某种切换律下的稳定性。证明了如果所有的子系统是线性时变的,并且在系统的Cauchy矩阵的范数满足某种条件的情况下,整个切换系统在任意切换律下是全局指数稳定的。研究了其带非线性扰动项的系统,在适当的假设下,建立了这种系统的全局稳定性特性。研究了某些子系统不满足上述Cauchy矩阵的范数条件的切换系统在某种切换律下的稳定性特性。
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| 关 键 词： | 非线性切换系统 系统控制 稳定性 |
| 文章编号： | 1001-506X(2004)01-0068-04 |
| 修稿时间： | 2003年1月14日 |
Stability analysis for a class of nonlinear switched systems |
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| WANG Ren-ming,GUAN Zhi-hong,LIU Xin-zhi{,}=.Stability analysis for a class of nonlinear switched systems[J].System Engineering and Electronics,2004,26(1):68-71. |
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| Authors: | WANG Ren-ming GUAN Zhi-hong LIU Xin-zhi{ }= |
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| Institution: | WANG Ren-ming~1,GUAN Zhi-hong~1,LIU Xin-zhi~{1,2}= |
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| Abstract: | The stability properties of a class of nonlinear switched systems under certain switching laws are studies. It is shows that if all subsystems are linear time-variant and the norm of subsystems' Cauchy matrix satisfies reasonable conditions, the entire switched system is globally exponentially stable under arbitrary switching laws. The above time-vriant linear switched systems with certain nonlinear perturbations are studied. Under reasonable assumptiions, global exponential stability is established for these systems. Finally, we further study the stability properties, under certain switching laws, for switched systems in which some subsystems may not satisfy above norm conditions of Cauchy matrix.; |
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| Keywords: | nonlinear switched systems system control stability |
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