期刊文献+

一类不确定脉冲积分微分系统的鲁棒稳定性(英文)

Robust stability of uncertain impulsive integro-differential systems
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摘要 利用常数变易法以及对线性脉冲系统Cauchy矩阵的指数估计,作者获得了一类含不确定参数的脉冲积分微分系统鲁棒指数稳定性的充分条件,并给出了其指数收敛率满足的代数条件. By employing the formula for the variation of constant and exponential estimating the C.auchy matrix of a linear impulsive system, sufficient conditions for the robust exponential stability of an uncertain impulsive integro-differential system are derived. And the algebraic equations determining the exponential convergence rates are given.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第6期1285-1288,共4页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(10671133)
关键词 不确定 脉冲积分微分系统 指数稳定 鲁棒性 uncertainty, impulsive integro-differential system, exponential stability, robustness
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  • 1Lakshmikantham V, Bainov D D, Simeonov P S. Theory of impulsive differential equations[ M]. Singapore: World Scientific, 1989.
  • 2Xu D, Zhu W, Long S J. Global exponential stability of impulsive integro-differential equation[J ]. Nonlinear Analysis, 2006, 64: 2805.
  • 3Xu Liguang, Xu Daoyi. Exponential stability of nonlinear impulsive neutral integro-differential equations[J]. Nonlinear Analysis, 2008, 69. 2910.
  • 4杨志春.含脉冲的Volterra型积分微分方程的稳定性[J].四川大学学报(自然科学版),2003,40(1):16-19. 被引量:4
  • 5Ballinger G, Liu X Z. Existence and uniqueness results for impulsive delay differential equa-tions[J ]. Dynam Contin Discrete Impuls Syst, 1999, 55: 579.
  • 6Yang Z C, Xu D Y. Robust stability of uncertain impulsive control systems with time-varying delay[J]. Comput Math Appl, 2007, 53: 760.

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