Impulsive Control of a Class of Nonlinear Time·Delay Diferential Systems

Journal of South China University of Technology (Natural Science Edition) ›› 2005, Vol. 33 ›› Issue (5): 11-14.

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Impulsive Control of a Class of Nonlinear Time·Delay Diferential Systems

Liu Xiu-xiang Xu Bu-gong

College of Automation Science and Engineering,South China Univ.of Tech.,Guangzhou 510640,Guangdong,China

Received:2004-09-04 Online:2005-05-25 Published:2005-05-25
Contact: 刘秀湘(1975-)，男，在职博士生，华南师范大学讲师，主要从事时滞系统、不确定系统及脉冲系统的分析与综合方面的研究 E-mail:liuxiuxiang@21cn.com
About author:刘秀湘(1975-)，男，在职博士生，华南师范大学讲师，主要从事时滞系统、不确定系统及脉冲系统的分析与综合方面的研究
Supported by:
国家自然科学基金重点项目(60334010)；国家自然科学基金资助项目(604774047)；高等学校博士学科点专项基金项目(20030561013)；广东省自然科学基金资助项目(980018，31406)；广东省自然科学博士科研启动基金资助项目(04300046)

Abstract

Abstract:

The aim of this paper is to investigate the problem of impulsive control of a class of nonlinear time-delay diferential systems x^'=f(x( (t))+g( (t-τ )).In the investigation,the definitions for impulsive exponential stabilization and periodically impulsive exponential stabilization are first presented.The suficient conditions for these two kinds of stab ilizations are then obtained by constructing appropriate Lyapunov functions.Moreover,the design methods with simple and linear impulsive control functions that only depend on the system parameters are presented.Numerical exam ples are given to illustrate the proposed method.

Key words: impulse, time-delay, stability, nonlinearity, time-delay diferential equation

Liu Xiu-xiang Xu Bu-gong. Impulsive Control of a Class of Nonlinear Time·Delay Diferential Systems[J]. Journal of South China University of Technology (Natural Science Edition), 2005, 33(5): 11-14.

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Impulsive Control of a Class of Nonlinear Time·Delay Diferential Systems

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