分析具有时滞的两个耦合离散时间网络的内外同步。
Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays.
出版信息
Cogn Neurodyn. 2010 Sep;4(3):225-31. doi: 10.1007/s11571-010-9118-9. Epub 2010 Jun 18.
Abstract
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.
摘要
本文研究了两种具有时滞的离散时间网络之间的两种同步，包括每个网络内的内部同步和两个网络之间的外部同步。基于 Lyapunov 稳定性理论和线性矩阵不等式（LMI），以 LMI 的形式推导出了两个离散时间网络渐近稳定的充分条件。最后给出了数值实例来说明所得到的结果的有效性。理论理解为具有适当耦合的两个或更多神经网络的动力学提供了深入的了解。
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