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常微分系统的脉冲镇定 被引量：4

Impulsive Stabilization of Ordinary Differential Systems
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摘要 本文考察了较一般形式的常微分系统的脉冲镇定问题,借助Lyapunov方法得到了该系统可脉冲指数镇定的充分判据,并给出了脉冲控制函数的具体算法．全文突出了脉冲在方程稳定性方面的控制效果,所得结果推广、改进了已有的相关结论． This paper considers the impulsive stabilization for ordinary differential systems. By the method of Lyapunov functions, a criterion on the exponential stabilization by impulses is obtained. The control effect by impulses is stressed in the the definitions and result, and the result presented in this paper extends and improves the previously known results.
作者 李想 冯郁 翁佩萱
机构地区 南京审计学院应用数学系 华南师范大学数学系
出处 《应用数学学报》 CSCD 北大核心 2007年第2期321-326,共6页 Acta Mathematicae Applicatae Sinica
基金 广东省自然科学基金项目(011471) 广东省教育厅自然科学研究项目(0120)资助项目.
关键词 脉冲微分方程 镇定 脉冲指数镇定 impulsive differential equation stabilization impulsive exponential stabilization
分类号 O175 [理学—基础数学]
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参考文献2

二级参考文献12

  • 1Lakshmikantham V, Bainov D D and Simeonov P S. Theory of Impulsive Differential Equations.Singapore: World Scientific, 1989.
  • 2Liu Xinzhi and Pirapakaran R. Global stability results for impulsive differential equations. Appl.Anal., 1989, 33: 87-102.
  • 3Liu Xinzhi. Impulsive stabilization and applications to population growth models. Rocky Mountain Journal of Mathematics, 1995, 25(1): 381-395.
  • 4Akhmetov M U and Zafer A. Stabiiity of the zero solution of impulsive differential equations by the Lyapunov second method. J. Math. Anal. Appl., 2000, 248: 69-82.
  • 5Akhmetov M U. On motion with impulse actions on a surface. Izv.-Acad., Nauk Kaz., SSR Set.,Fiz.-Mat.1, 1988, 11--14.
  • 6Akhmetov U and Perestyuk N A. A comparison method for differential equations with impulse actions. Differential'naya Uravneniya, 1990, 26: 1475-1483.
  • 7LAKSHMIKANTHAM V,BAINOV D D,SIMEONOV P S.Theory of Impulsive Differential Equations[M].Singapore: World Scientific,1989.
  • 8BAINOV D D,SIMEONOV P S.Systems with Impulse Effects: Stability Theory and Applications[M].New York: Halsted,1989.
  • 9BAINOV D D,SIMEONOV P S.Impulsive Differential Equations Asymptotic Properties of the Solutions and Applications[M].Singapore: World Scientific,1995.
  • 10LIU X.Stability theory for impulsive differential equations in terms of two different measures[M]∥Lecture Notes in Pure and Applied Mathematics.New York: Marcel Dakker,1991,127:375-384.

共引文献3

同被引文献20

  • 1刘秀湘,胥布工.一类非线性时滞系统的脉冲控制[J].华南理工大学学报（自然科学版）,2005,33(5):11-14. 被引量：3
  • 2魏朝颖,王爱丽.一类具有脉冲的向量型时滞微分系统的振动性[J].工程数学学报,2006,23(5):856-860. 被引量：2
  • 3向中义,宋新宇.基于脉冲扰动作用下一个捕食者-两个食饵模型的动力学性质[J].高校应用数学学报（A辑）,2007,22(2):159-166. 被引量：2
  • 4Liu Xin-zhi.Impulsive stabilization and control of chaotic system[J].Nonlinear Analysis:Theory,Methods & Applications,2001,47(2):1081-1092.
  • 5Liu Xinzhi.Stability of impulsive control systems with time delay[J].Mathematical and Computer Modelling,2004,39(4/5):511-519.
  • 6Weng Aizhi,Sun Jitao.Impulsive stabilization of second-order nonlinear delay differential systems[J].Applied Mathematics and Computation,2009,214(1):95-101.
  • 7Li Xiang,Weng Peixuan.Impulsive stabilization of two kinds of second-order linear delay differential equations[J].Journal of Mathematical Analysis and Applications,2004,291(1):270-281.
  • 8Xu Liguang,Xu Daoyi.Mean square exponential stability of impulsive control stochastic systems with time-varying delay[J].Physics Letters A,2009,373(3):328-333.
  • 9Liu Bin.Stability of solutions for stochastic impulsive systems via comparison approach[J].IEEE Transactions on Automatic Control,2008,53(9):2128-2133.
  • 10Mao Xuerong.Stochastic differential equations and applications[M].Chichester:Eilles Horwood,1997:149-155.

引证文献4

二级引证文献3

应用数学学报
2007年 第2期

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