Exponential networked synchronization of master-slave chaotic systems with timevarying communication topologies  

作　　者：杨东升 刘振伟 赵琰 刘兆冰 

机构地区：[1]College of Information Science and Engineering,Northeastern University,Shenyang 110004,China [2]Department of Automatic Control Engineering,Shenyang Institute of Engineering,Shenyang 110136,China

出　　处：《Chinese Physics B》2012年第4期151-158,共8页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 60904046, 60972164, 60974071, and 60804006);the Special Fund for Basic Scientific Research of Central Colleges, Northeastern University, China (Grant No. 090604005);the Science and Technology Program of Shenyang (Grant No. F11-264-1-70);the Program for Liaoning Excellent Talents in University (Grant No. LJQ2011137);the Program for Liaoning Innovative Research Team in University (Grant No. LT2011019)

摘　　要：The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities （LMIs）, which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities （LMIs）, which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method.

关 键 词：exponential networked synchronization master-slave chaotic systems algebraic graph theory communication topology 

分 类 号：O415.5[理学—理论物理] TN918.1[理学—物理]