主动滑模控制时滞时空混沌星形网络的函数投影同步  

FUNCTION PROJECTIVE LAG SYNCHRONIZATION OF SPATIOTEMPORAL CHAOS IN STAR NETWORK VIA ACTIVE SLIDING MODE CONTROL

作　　者：柴元[1] 陈立群[1,2] 

机构地区：[1]上海大学应用数学与力学研究所,上海200072 [2]上海大学力学系,上海200444

出　　处：《动力学与控制学报》2013年第3期275-279,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(11232009);上海市优秀学科带头人计划(09XD1401700);上海市重点学科建设资助项目(S30106)~~

摘　　要：研究了拓扑等价的多个时空混沌系统组成的星形网络,提出了一种主动滑模控制时滞时空混沌星形网络的函数投影同步控制方法,实现了多个时空混沌系统的同步.在结合主动控制和滑模控制方法的基础上,设计了主动滑模控制器的结构,得到了网络函数投影同步的必要条件.以Gray—Scott时空系统作为网络节点构成的星形网络为例进行了仿真模拟.结果验证了主动滑模控制器的有效性.This paper investigated function projective lag synchronization of spatiotemporal chaos in star network. A control scheme was designed via active sliding mode approach. Based on the combination of active control and sliding mode control method, the structure of the active sliding mode controllers was designed, and the necessary conditions of star network function projective lag synchronization were obtained. The control spatiotemporal Gray - Scott systems. Numerical simulations were presented to demonstrate the proposed active sliding mode controllers. law was applied to effectiveness of the

关 键 词：时空混沌 时滞函数投影同步 星形网络 LYAPUNOV稳定性定理 主动滑模控制 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]