数学物理学报(英文版)

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EVENTUAL STABILITY OF IMPULSIVE DIFFERENTIAL SYSTEMS

张瑜; 孙继涛   

  1. 同济大学数学系, 上海 200092
  • 收稿日期:2004-07-11 修回日期:2005-04-25 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 孙继涛
  • 基金资助:

    This work is supported by the National Natural Science Foundation of China (60474008)

EVENTUAL STABILITY OF IMPULSIVE DIFFERENTIAL SYSTEMS

Zhang Yu; Sun Jitao   

  1. Department of Mathematics, Tongji University, Shanghai 200092, China
  • Received:2004-07-11 Revised:2005-04-25 Online:2007-04-20 Published:2007-04-20
  • Contact: Sun Jitao

摘要:

In this article, criteria of eventual stability are established for impulsive differential systems using piecewise continuous Lyapunov functions. The
sufficient conditions that are obtained significantly depend on the moments
of impulses. An example is discussed to illustrate the theorem.

关键词: Eventual stability, impulsive differential system, Lyapunov function

Abstract:

In this article, criteria of eventual stability are established for impulsive differential systems using piecewise continuous Lyapunov functions. The
sufficient conditions that are obtained significantly depend on the moments
of impulses. An example is discussed to illustrate the theorem.

Key words: Eventual stability, impulsive differential system, Lyapunov function

中图分类号: 

  • 34A37