Chaotic Lag Synchronization of Coupled Time-delayed Neural Networks with Two Neurons Using LMI Approach

在这份报纸，混乱落后有二个神经原的联合推迟时间的系统的同步被调查。我们为错误分析 asymptotic 稳定性动态系统基于 Lyapunov 方法和线性矩阵不平等(LMI ) 技术。为决定在联合系统之间的 lag 同步的一些新足够的条件被导出。首先，我们熟练地转移我们第一次以 LMI 被表示进概括特征值最小化编程(GEVP ) 的标准。联合力量的最小成功地被获得。一个数字实验说明我们的结果的有效性和优点。

In this paper, the chaotic lag synchronization of coupled time-delayed systems with two neurons is investigated. We analyze the asymptotic stability for the error dynamical system based on Lyapunov method and linear matrix inequality （LMI） technique. Some new sufficient conditions for determining the lag synchronization between the coupling systems are derived. Above all, we skillfully shift our criterion which is expressed in terms of LMI into the generalized eigenvalue minimization programming （GEVP） for the first time. The mini- mum of coupling strength is obtained successfully. A numerical experiment illustrates the effectiveness and advantage of our results.