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二阶微分方程的脉冲镇定 被引量:11

IMPULSIVE STABILIZATION OF SECOND ORDER DIFFENTIAL EQUATIONS
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摘要 讨论了如何通过脉冲效应实现系统 的镇定,并且给出脉冲函数 的具体表达式,最后把结论推广到更一般的非线性方程. The investigation of the impulsive stabilization of equation x' + a (t) x = 0 has been done. Practical and simple expressions of the impulse functions Ik (x) and Jk (x) are given. The corresponding conclusions are then extended to a more general nonlinear system.
作者 冯伟贞
出处 《华南师范大学学报(自然科学版)》 CAS 2001年第1期16-19,共4页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助!(980018) 广东省高教厅自然科学重点科研!(199873)项目
关键词 二阶脉冲微分方程 可脉冲指数镇定 可周期性脉冲指数镇定 脉冲效应 脉冲镇定 second - order impulsive differential equation stabilization impulsive exponential stabiliza- tion periodic impulsive exponential stabilization
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同被引文献37

  • 1李想,冯郁,翁佩萱.常微分系统的脉冲镇定[J].应用数学学报,2007,30(2):321-326. 被引量:4
  • 2LIU Xin- zlai. Practical stabilization of control systems with impulse effects[ J]. J Math Anal Appl, 1992,166:563 -576.
  • 3LIU Xin - zhi. Impulsive stabilization of nonlinear systems[J]. IMA J of Math Control and Information, 1993(10) : 11- 19.
  • 4LIU Xin- zhi, ROHLF Katrin. Impulsive control of a Lokta - Volterra system[J]. IMA J of Math Control Information, 1998,15 : 268 - 284.
  • 5LAKSHMIKANTHAM V, BAINOV D D, SIMENOVE P S. Theory of Impulsive Differential Equations [ M ]. Singpore: World Scientific, 1989.
  • 6BAINOV D D, SIMEONOV P S. Systems with Impulsive Effect: Stability Theory and Applications[M]. New York: Ellis Horwood Limited, 1989.
  • 7WENG Pei - xuan, YAN Zhao - qin. Globle existence and stability of functional differential equation with impulses [J]. Ann of Diff Eqs, 1998,14(2): 330- 338.
  • 8Liu Xin-zhi. Practical stabilization of control systems with impulse effects [J].J Math Anal Appl ,1992 ,166 :563-576.
  • 9Liu Xin-zhi. Impulsive stabilization of nonlinear systems[J]. IMA of Math Control and Information,1993,10:ll-19.
  • 10Liu Xin-zhi, Rohlf Katrin. Impulsive control of a LoktaVolterra system [J]. IMA J Math Control Information,1998,15:268-284.

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