Cao Jinde, Chen Guanrong, Li Ping
Department of Mathematics, Southeast University, Nanjing, China.
IEEE Trans Syst Man Cybern B Cybern. 2008 Apr;38(2):488-98. doi: 10.1109/TSMCB.2007.914705.
In this paper, we propose and study a general array model of coupled delayed neural networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and distributed-delay coupling. Based on the Lyapunov functional method and Kronecker product properties, several sufficient conditions are established to ensure global exponential synchronization based on the design of the coupling matrices, the inner linking matrices, and/or some free matrices representing the relationships between the system matrices. The conditions are expressed within the framework of linear matrix inequalities, which can be easily computed by the interior-point method. In addition, a typical chaotic cellular neural network is used as the node in the array to illustrate the effectiveness and advantages of the theoretical results.
在本文中，我们提出并研究了一种具有混合耦合的耦合延迟神经网络的通用阵列模型，该模型由常数耦合、离散延迟耦合和分布延迟耦合组成。基于李雅普诺夫泛函方法和克罗内克积性质，通过设计耦合矩阵、内部连接矩阵和/或一些表示系统矩阵之间关系的自由矩阵，建立了几个充分条件以确保全局指数同步。这些条件以线性矩阵不等式的框架表示，可以通过内点法轻松计算。此外，使用一个典型的混沌细胞神经网络作为阵列中的节点来说明理论结果的有效性和优势。
