On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays
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DOI:
10.1016/j.neucom.2012.04.027
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发表时间:
2013
期刊:
影响因子:
6
通讯作者:
Myeongjin Park;O. Kwon;Ju H. Park;Sangmoon Lee;E. Cha
Myeongjin Park;O. Kwon;Ju H. Park;Sangmoon Lee;E. Cha
中科院分区:
计算机科学2区
文献类型:
--
作者:
Myeongjin Park;O. Kwon;Ju H. Park;Sangmoon Lee;E. Cha

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本文的目的是研究网络耦合中具有区间时变时滞的耦合离散时间神经网络的时滞相关同步分析。基于Lyapunov方法,通过构造适当的Lyapunov-Krasovskii泛函和利用Finsler引理而不需要自由加权矩阵,以线性矩阵不等式(LMI)的形式给出了一个新的时延相关网络同步判据。给出了两个数值算例,说明了该方法的有效性。
The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov–Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.