一类Hlder连续的混沌系统分析和控制  

Analysis and control for a class of chaotic systems with Hlder continuity

作　　者：张建雄[1] 唐万生[1] 

机构地区：[1]天津大学系统工程研究所,天津300072

出　　处：《系统工程学报》2010年第6期829-834,共6页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(61004015);教育部博士点新教师基金资助项目(20090032120034)

摘　　要：构造了新的三维连续时间混沌系统.该系统含有两个参数和一个非线性项,其中的非线性项满足1/2阶Hlder连续但不满足Lipschitz连续性条件.通过理论分析和数值仿真研究了系统的动力学特性.此外,利用线性状态反馈对此混沌系统进行了控制,实现了系统的全局镇定.通过分段线性状态反馈方法对新混沌系统的同步进行了研究,实现了系统的全局同步.This paper presents a class of 3 dimensional new chaotic systems.The new systems contain two system parameters and a nonlinear term which does not satisfy Lipschitz continuity but satisfies 1/2-Hlder continuity condition.The complicated dynamics are studied through theoretical analysis and numerical simulation.The chaos control and synchronization of the new systems via linear state feedback and piecewise linear state feedback are investigated respectively,and the corresponding systems can be stabilized or synchronized,globally.

关 键 词：混沌系统 Hlder连续 线性反馈 同步 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]