中国物理B ›› 2009, Vol. 18 ›› Issue (3): 969-974.doi: 10.1088/1674-1056/18/3/021

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An improved impulsive control approach to nonlinear systems with time-varying delays

佟绍成1, 张化光2, 浮洁3, 马铁东3   

  1. (1)Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China; (2)Key Laboratory of Industry Automation for the Process Integrated, Ministry of Education, Northeastern University, Shenyang 110004, China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (3)School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2008-08-29 修回日期:2008-09-22 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534010, 60774048, 60728307, 60804006 and 60521003), the National High Technology Research and Development Program of China (Grant No 2006AA04Z183), Liaoning Provincial Natu

An improved impulsive control approach to nonlinear systems with time-varying delays

Zhang Hua-Guang(张化光)a)b)†, Fu Jie(浮洁)b), Ma Tie-Dong(马铁东)b), and Tong Shao-Cheng(佟绍成)c)   

  1. a Key Laboratory of Industry Automation for the Process Integrated, Ministry of Education, Northeastern University, Shenyang 110004, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; c Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China
  • Received:2008-08-29 Revised:2008-09-22 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60534010, 60774048, 60728307, 60804006 and 60521003), the National High Technology Research and Development Program of China (Grant No 2006AA04Z183), Liaoning Provincial Natu

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摘要： A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations (FDEs), some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear systems with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

关键词: impulsive control, time-varying delays, impulsive functional differential equations, Lyapunov-like stability theorem

Abstract: A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations (FDEs), some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear systems with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

Key words: impulsive control, time-varying delays, impulsive functional differential equations, Lyapunov-like stability theorem

中图分类号:  (Communication using chaos)

  • 05.45.Vx
05.45.Gg (Control of chaos, applications of chaos) 05.45.Xt (Synchronization; coupled oscillators)