一个自治系统的混沌控制与同步  

Controlling and Synchronizing Chaos in One Autonomous System

作　　者：郭利军[1] 褚衍东[1] 张晓刚[1] 翟海峰[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《温州大学学报（自然科学版）》2011年第4期12-17,共6页Journal of Wenzhou University(Natural Science Edition)

基　　金：甘肃省自然科学基金(3ZS-042-B25-049)

摘　　要：对一个新三维混沌自治系统进行研究.根据线性负反馈法和Routh-Hurwitz稳定性条件,得到达到控制目标时负反馈系数所满足的条件.根据Lyapunov稳定性定理,利用Lyapunov直接法在响应系统中构造非线性函数,实现了该系统的完全同步,并证明了该系统同步误差的零点稳定性.最后利用Matlab进行数值仿真,结果表明该方法是可行的、有效的.In this paper,a new three-dimensional autonomous chaotic system was studied.On the basis of the method of linear negative feedback and Routh-Hurwitz criterion,the needed condition of linear negative feedback coefficient in controlling was obtained.Based on the Lyapunov stability theorem,globally synchronization of the system could be achieved by using the Lyapunov’s direct method to create a nonlinear function in the response system.Then,the zero stability of synchronization error was verified to be existed in the system.At last,the method was proved to be feasible and effective by means of numerical simulation with Matlab.

关 键 词：自治系统 混沌控制 线性负反馈法 

分 类 号：O415.5[理学—理论物理]