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时变脉冲切换系统的实用稳定性研究 被引量：1

The practical stability of time-dependent impulsive switched systems
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摘要 研究了时变脉冲切换系统实用稳定性的定义.在此基础上,利用推广的Cauchy矩阵给出了线性时变脉冲切换系统及对应拟线性系统实用稳定、一致实用稳定的充分条件,并举例分析了切换模式、脉冲模式对系统实用稳定性的影响. The definitions of practical stability of time-dependent impulsive switched systems was clari-fied.With the extended Cauchy matrix , some sufficient conditions were provided concerning practical stability and uniform practical stability of the linear time-dependent impulsive switched systems and the corresponding quasi-linear systems.Finally, the influence of the switch and the impulse on practical sta-bility was analyzed with illustrative examples .
作者 李少娥 冯伟贞
机构地区 华南师范大学数学科学学院
出处 《仲恺农业工程学院学报》 CAS 2014年第2期36-44,共9页 Journal of Zhongkai University of Agriculture and Engineering
关键词 线性时变脉冲切换系统 拟线性时变脉冲切换系统 实用稳定 一致实用稳定 CAUCHY矩阵 linear time-dependent impulsive switched systems quasi-linear time-dependent impulsive switched systems practical stability uniform practical stability Cauchy matrix
分类号 O175 [理学—基础数学]
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参考文献5

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二级参考文献14

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共引文献3

同被引文献10

  • 1Chen Wuhua, Zheng Weixing. Exponential stability ot nonlinear time-delay system with delayed impulse effects[J]. Automatica, 2011, 47(5): 1075-1083.
  • 2Mohamad S Alwan, Xinzhi Liu. Stability of singularly perturbed switched systems with time delay and impulsive effects[J]. Nonlinear Analysis: Theory, Methods Appl, 2009, 71(9): 4297-4308.
  • 3Liu Yubin, Feng Weizhen. Razumikhin- Lyapunov functional method for the stability of impulsive switched systems with time delay[J]. Math Comput Model, 2009, 49: 249-264.
  • 4Liu Xinzhi. Practical Stabilization of Control Systems with Impulse Effects[J]. J Math Anal Appl, 1992, 166: 563-576.
  • 5Li Shao'e, Feng Weizhen. Practical stability of linear switched impulsive system with time delay[J]. Electron J Diff Equ, 2014, 262: 1-21.
  • 6Wang Qing, Liu Xinzhi. Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method[J]. Appl Math Lett, 2007, 20(8): 839-845.
  • 7Wang Qing, Liu Xinzhi. Exponential stability for impulsive delay differential equations by Razumikhin method[J]. J Math Anal Appl, 2005, 309: 462-473.
  • 8Lakshmikantham V, Liu Xinzhi. Impulsive hybrid systems and stability theory[J]. Dyn Systems Appl, 1998, 7: 1-10.
  • 9Ye Sun, Anthony N. Michel, Zhai Guisheng. Stability of discontinuous retarded functional differential equations with applications[J]. IEEE Trans Automatic Control, 2005, 50(08): 1090-1105.
  • 10杨玉华.一类非线性动力系统实用稳定域的研究及应用[J].数学的实践与认识,2012,24(13):189-192. 被引量：2

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仲恺农业工程学院学报
2014年 第2期

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