具有时变时滞的两个复杂动态网络间的外同步(英文)  

Outer Synchronization between Two Complex Dynamical Networks with Time-varying Delays

作　　者：唐宏安[1] 杨志春[1] 王金亮[2] 

机构地区：[1]重庆师范大学数学学院,重庆401331 [2]北京航空航天大学自动化科学与电气工程学院,北京100191

出　　处：《重庆师范大学学报（自然科学版）》2013年第4期59-65,共7页Journal of Chongqing Normal University:Natural Science

基　　金：National Science Foundation of China(No.10971240);Key Project of Chinese Education Ministry(No.212138);Natural Science Foundation of Chongqing(No.CSTC2011BB0117);Foundation of Science and Technology Project of Chongqing Education Commission(No.KJ120630)~~

摘　　要：本文讨论了一类具有时变时滞的驱动-响应网络的外同步问题。以线性矩阵不等式(LMI)和Lyapunov泛函方法,获得了该两个复杂动态网络间达到外同步的判据。即当系统参数满足下列条件之一:即当(1)0≤τ.(t)≤σ<1,Mi>0,Si>0,Ui(t)λicMiΓλicΓΤMi-(1-σ)S[]i<0,i=2,…,N;(2)τ(t)≤0,τ(t)≤τ,0<τ<∞,Mk>0,Sk>0,Ukλkc MkΓ-YkτHΤZkλkcΓΤMk-YΤk-SkτλkcΓΤZkτZkHτλkcZkΓ-τZk<0,k=2,…,N,则驱动-响应网络达到外同步。最后用数值例子验证了结论的有效性。In this paper,we study the outer synchronization between the drive network and the response network with timevarying delays.By employing linear matrix inequalities（LMI） and Lyapunov functional method,some new sufficient conditions ensuring the outer synchronization between two complex networks are obtained.The outer synchronization between the drive network and the response network is achieved if one of the following conditions is satisfied：（1）0≤τ.（t）≤σ1,Mi0,Si0,Ui（t）λicMiΓλicΓΤMi-（1-σ）S[]i0,i=2,…,N;（2）τ（t）≤0,τ（t）≤τ,0τ∞,Mk0,Sk0,Ukλkc MkΓ-YkτHΤZkλkcΓΤMk-YΤk-SkτλkcΓΤZkτZkHτλkcZkΓ-τZk0,k=2,…,N.Finally,a numerical example is provided to illustrate the efficiency of the derived results.

关 键 词：复杂网络 外同步 时变时滞 LYAPUNOV泛函 

分 类 号：O175[理学—数学]