Bifurcation control and chaos in a linear impulsive system

作     者：蒋贵荣 胥布工 杨启贵 

作者机构：School of Mathematical SciencesSouth China University of Technology School of Mathematics and Computing ScienceGuilin University of Electronic Technology College of Automation Science and EngineeringSouth China University of Technology 

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

年 卷 期：2009年第18卷第12期

页      面：5235-5241页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081104[工学-模式识别与智能系统] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0704[理学-天文学] 0811[工学-控制科学与工程] 0702[理学-物理学] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 10871074 and 10572011) the Natural Science Foundation of Guangxi Province,China (Grant No 0832244) 

主　　题：periodic solution bifurcation control chaos controller 

摘      要：Bifurcation control and the existence of chaos in a class of linear impulsive systems are discussed by means of both theoretical and numerical ways. Chaotic behaviour in the sense of Marotto＇s definition is rigorously proven. A linear impulsive controller, which does not result in any change in one period-1 solution of the original system, is proposed to control and anti-control chaos. The numerical results for chaotic attractor, route leading to chaos, chaos control, and chaos anti-control, which are illustrated with two examples, are in good agreement with the theoretical analysis.