Impulsive control of nonlinear systems with time-varying delays

作     者：于永斌 鲍景富 张洪斌 钟其水 廖晓峰 虞厥邦 

作者机构：College of Electronic EngineeringUniversity of Electronic Science and Technology of China College of Computer ScienceChongqing University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2008年第17卷第7期

页      面：2377-2387页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

主　　题：impulsive control time-varying delays impulsive delay systems Lyapunov functions A 

摘      要：A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method.