Stability Analysis and Design of Impulsive Control Lorenz Systems Family

作     者：YU Yong-Bin ZHANG Hong-Bin ZHANG Feng-Li YU Jue-Bang LIAO Xiao-Feng 

作者机构：School of Computer Science and Engineering University of Electronic Science and Technology of China Chengdu 610054 China School of Electronic Engineering University of Electronic Science and Technology of China Chengdu 610054 China College of Computer Science Chongqing University Chongqin 400044 China 

基　　金：supported by the Key Project of the Ministry of Education under Grant No.107099 the Key Youth Science and Technology Foundation of University of Electronic Science and Technology of China under Grant No.L08010201JX0720 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第51卷第5期

页      码：869-875页

摘      要：Lorenz systems family unifying Lorenz system, Chen system and Lü system is a typical chaotic family. In this paper, we consider impulsive control Lorenz chaotic systems family with time-varying impulse intervals. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control Lorenz systems family and obtain some new less conservative conditions. Based on the stability analysis, we design a novel impulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility and effectiveness of our method. The obtained results not only can be used to design impulsive control for Lorenz systems family, but also can be extended to other chaotic systems.

主 题 词：Lorenz systems family impulsive chaotic system asymptotic stability 

学科分类：07[理学] 082304[082304] 08[工学] 080204[080204] 070201[070201] 0802[工学-机械学] 0702[理学-物理学类] 0823[工学-农业工程类] 

核心收录：

D　O　I：10.1088/0253-6102/51/5/23

馆 藏 号：203533173...