| 线性时变切换系统及其非线性扰动系统的稳定性分析 |
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| 引用本文： | 王仁明,关治洪,刘新芝. 线性时变切换系统及其非线性扰动系统的稳定性分析[J]. 华中师范大学学报(自然科学版), 2002, 36(3): 265-268 |
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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,武汉,430074
2. 华中科技大学,控制科学与工程系,武汉,430074;滑铁卢大学,应用教学系,滑铁卢,安大略 N2L 3G1 加拿大 |
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| 基金项目： | 国家自然科学基金资助项目 ( 6 0 0 740 0 9) . |
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| 摘 要： | 研究了一类线性时变切换系统及其带有非线性扰动系统在任意切换律下的稳定性。首先导出了线性时变切换系统在任意切换律下指数稳定的充分条件，然后，研究了其带非线性扰动项的系统在任意切换律下的佤中指数稳定性特性，最后，用数值例子对所得结果加以了阐明。
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| 关 键 词： | 非线性扰动系统 稳定性 线性时变切换系统 指数稳定 平衡点 Cauchy矩阵 切换律 |
| 文章编号： | 1000-1190(2002)03-0265-04 |
| 修稿时间： | 2002-04-11 |
Stability analysis for linear time-varying switched systems and their nonlinear perturbed systems |
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| WANG Ren-ming,GUAN Zhi-hong,LIU Xin-zhi. Stability analysis for linear time-varying switched systems and their nonlinear perturbed systems[J]. Journal of Central China Normal University(Natural Sciences), 2002, 36(3): 265-268 |
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| Authors: | WANG Ren-ming GUAN Zhi-hong LIU Xin-zhi |
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| Affiliation: | WANG Ren-ming 1,GUAN Zhi-hong 1,LIU Xin-zhi 1,2 |
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| Abstract: | The paper studied the stability properties of a class of linear timevariant switched systems and their systems with certain nonlinear perturbations under certain switching laws. First, it establishes sufficient conditions for exponential stability of linear timevariant swiched systems under arbitrary swiching laws. Then, it studies the above timevariant linear switched systems with certain nonlinear perturbations term. Under reasonable assumptions, global exponential stability is established for these systems. Finally, it gives a numerical example to illustrate the effectiveness of the theoretical results. |
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| Keywords: | linear timevariant switched systems exponentially stability equilibrium Cauchy matrix |
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