中文摘要：

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〖JP3〗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）λicMiΓλicΓΤ Mi（1－σ）Si〈0,i=2,…,N；（2）τ·（t）≤0, τ（t）≤τ， 0〈τ〈 SymboleB@ ， Mk〉0,Sk〉0,UkλkcMkΓ－YkτHΤZkλkcΓΤ Mk－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。

英文摘要：

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.