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线性常微分方程组的脉冲镇定 被引量：6

IMPULSIVE STABILIZATION OF LINEAR DIFFERENTIAL SYSTEM
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摘要 研究了线性微分方程组的脉冲镇定问题 ,利用Liapunov函数技巧得到了有关系统可脉冲指数镇定和可周期性脉冲指数镇定的结果 .并且举例说明了脉冲镇定方法的实用价值 . The impulsive stabilization of linear differential system is studied and results of impulsive exponential stabilization and periodical impulsive exponential stabilization for system concerned are obtained by means of Liapunov methods. Examples are given to show the practical value of the impulsive stabilization .
作者 李想
机构地区 华南师范大学数学系
出处 《华南师范大学学报（自然科学版）》 CAS 2002年第1期52-56,共5页 Journal of South China Normal University(Natural Science Edition)
关键词 线性常微分方程组 脉冲镇定 脉冲指数镇定 周期性脉冲指数镇定 脉冲控制函数 Liapunou函数 linear differential system stabilization impulsive exponential stabilization periodical impulsive exponential stabilization
分类号 O175.13 [理学—基础数学]
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参考文献1

共引文献10

同被引文献17

  • 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
  • 2Li Xiang,Weng Peixuan. Impulsive stabilization of two kinds of 2nd-order liner delay differential equations[J]. J. Math. Anal. Appl. , 2004,291 : 270 - 281.
  • 3Liu Xinzhi,Wang Qing. The method of Lyapunov functionals and exponential stability of impulsive systems with time delay[J]. Nonlinear Analysis, 2007,66: 1465-1484.
  • 4Wu S J, Han D. Exponential stability of functional differential systems with impulsive effect on rundom moments[J]. Computers and Mathematics with Applications, 2005,50 : 321-328.
  • 5Wang Qing, Liu Xinzhi. Exponential stability for impulsive delay differential equations by Razumikhin method[J]. J. Math. Anal. Appl. , 2005,309 :462-473.
  • 6Wang Qing, Liu Xinzhi. Impulsive stabilization of delay differential equations via the Lyapunov-Razumikhin method[J]. Applied Mathematics Letters,2007,20(8) :839-845.
  • 7Ye Sun,Anthony Michel N,Zhai Guisheng. Stability of discontinuous retarded functional differential equations with applications[J]. IEEE Transactions on Automatic Control, 2005,50 (8) :1090-1105.
  • 8Li Senlin,Wen Lizhi. Functional Differential Equations[M]. Changsha: Hunan Science and Technology Press, 1987.
  • 9Jack Hale. Functional Differential Equations[M]. New York, Heidelberg, Berlin, Springer-Verlag, 1971.
  • 10Li Xiang,Weng Peixuan. Impulsive stabilization of two kinds of second-order liner delay differential equations[J].Journal of Mathematical Analysis and Applications,2004,(01):270-281.

引证文献6

二级引证文献9

华南师范大学学报（自然科学版）
2002年 第1期

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