摘要
基于分数阶线性系统稳定性理论,结合反馈控制和主动控制方法,提出了一类分数阶混沌系统的同步方法,给出了同步控制器解析式,该方法简单,适用范围广.以分数阶Chen混沌系统、分数阶R ssler超混沌系统为例,进行了数值仿真,证实了该方法的有效性和可行性.
Based on stability theory of fractional-order linear systems, a novel method combining feedback control and active control is proposed for the synchronization of the fractional-order chaotic systems. The controller is obtained, and the method can be applied to solve synchronization problems of several classes of fractional-order chaotic systems, e. g, Lorenz system, Rǒssler system, Chen system, Liu system, Lu system, Rǒssler hyperchaotic system. Numerical simulation results are presented to demonstrate the effectiveness and feasibility of the proposed method.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2009年第1期37-41,61,共6页
Journal of Hebei Normal University:Natural Science
基金
河北省自然科学基金(A2006000128)
关键词
分数阶
混沌同步
CHEN系统
Rssler超混沌系统
factional-order chaotic system
chaos synchronization
Chen system
Rǒssler hyperchaotic system