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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 被引量：1

STABILITY OF LINEAR IMPULSIVE SYSTEMS AND THEIR NONLINEAR PERTURBED SYSTEMS UNDER ARBITRARY SWITCHING LAWS
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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. 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.
作者 刘玉彬 冯伟贞
机构地区 华南师范大学数学科学学院
出处 《华南师范大学学报（自然科学版）》 CAS 2007年第1期8-14,共7页 Journal of South China Normal University(Natural Science Edition)
基金 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)
关键词 脉冲切换系统 零解 指数稳定 CAUCHY矩阵 impulsive switched systems zero solusion exponential stability Cauchy matrix
分类号 O175.21 [理学—基础数学]
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共引文献63

同被引文献6

  • 1冯伟贞.线性时变脉冲切换系统稳定性[J].华南师范大学学报（自然科学版）,2006,38(3):12-18. 被引量：3
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  • 3Wang Qing, Liu Xinzhi. Impulsive stabilization of delay differential systems via the Lyapunov- Razumikhin method. Applied Mathematics Letters, 2007, 20(8): 839-845.
  • 4Wang Qing, Liu Xinzhi. Exponential stability for impulsive delay differential equations by Razumikhin method. Journal of Mathematical Analysis and Applications, 2005, 309:462-473.
  • 5Liu Yubin, Feng Weizhen. Razumikhin-Lyapunov functional method for the stability of impulsive switched systems with time delay. Mathematical and Computer Modelling, 2009, 49:249-264.
  • 6Wen Lizhi, Chen Yongshao. Razumikhin type theorems for functional differential equations with impulses. Dynam. Uontin. Discrete. Impuls. Systems, 1999, 6:389-400.

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华南师范大学学报（自然科学版）
2007年 第1期

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