| 线性脉冲系统及其非线性扰动系统在任意切换律下的稳定性 |
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| 引用本文： | 刘玉彬, 冯伟贞. 线性脉冲系统及其非线性扰动系统在任意切换律下的稳定性[J]. 华南师范大学学报（自然科学版）, 2007, (1): 8. |
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| 作者姓名： | 刘玉彬 冯伟贞 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州,510631;华南师范大学数学科学学院,广东广州,510631 |
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| 基金项目： | 广东省自然科学基金资助项目(011471)，广东高校自然科学研究项目(0120) |
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| 摘 要： | 利用线性系统的Cauchy矩阵研究了多个子系统在脉冲作用下对任意切换律的稳定性问题,得到了该系统及其非线性扰动系统在任意切换律下零解指数稳定的充分判据.并从控制论的角度讨论了脉冲和切换方式这两种控制因素对系统稳定性的影响.
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| 关 键 词： | 脉冲切换系统 零解 指数稳定 Cauchy 矩阵 |
| 文章编号： | 1000-5463（2007）01-0008-07 |
| 修稿时间： | 2006-01-11 |
STABILITY OF LINEAR IMPULSIVE SYSTEMS AND THEIR NONLINEAR PERTURBED SYSTEMS UNDER ARBITRARY SWITCHING LAWS |
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| LIU Yu-bin,FENG Wei-zhen. STABILITY OF LINEAR IMPULSIVE SYSTEMS AND THEIR NONLINEAR PERTURBED SYSTEMS UNDER ARBITRARY SWITCHING LAWS[J]. Journal of South China Normal University(Natural Science Edition), 2007, 0(1): 8-14 |
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| Authors: | LIU Yu-bin FENG Wei-zhen |
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| Affiliation: | sohool of Mathematics, South China Normal University, Guangzhou 510631, China |
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| Abstract: | By using the Cauchy matrices of linear systems,the switched systems effected by impulses is investigated.The stability properties on arbitrary switching laws are studied,and some sufficent conditions for exponential stability of the systems are established.How the impulse and switching effect the stability of the impulsive switched systems is also discussed. |
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| Keywords: | impulsive switched systems zero solusion exponential stability Cauchy matrix |
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