Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays

Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays
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分析两个具有时滞的耦合离散时间网络之间的内同步和外同步

DOI:
10.1007/s11571-010-9118-9
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发表时间:
2010-06
影响因子:
3.7
通讯作者:
Wang, Rubin
Wang, Rubin
中科院分区:
工程技术2区
文献类型:
--
作者:
Cao, Jianting;Sun, Weigang;Wang, Weixiang;Wang, Rubin

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本文研究了两个离散时滞网络之间的两种同步问题,包括网络内部的同步和两个网络之间的外部同步。基于李雅普诺夫稳定性理论和线性矩阵不等式,给出了两个离散时间网络渐近稳定的充分条件。最后通过数值例子说明了所得结果的有效性.理论上的理解提供了对具有适当耦合的两个或多个神经网络的动力学的见解。
This paper studies two kinds of synchronization between two discrete-time networks with time delays, including inner synchronization within each network and outer synchronization between two networks. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions for two discrete-time networks to be asymptotic stability are derived in terms of LMI. Finally numerical examples are given to illustrate the effectiveness of our derived results. The theoretical understanding provides insights into the dynamics of two or more neural networks with appropriate couplings.
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