Analysis and Control of Coupled Neural Networks with Reaction-Diffusion Terms by Jin-Liang Wang Huai-Ning Wu Tingwen Huang & Shun-Yan Ren

Author:Jin-Liang Wang, Huai-Ning Wu, Tingwen Huang & Shun-Yan Ren
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

6.2 Synchronization in CRDNNs with Hybrid Coupling

6.2.1 Network Model

In this chapter, we consider a CRDNNs consisting of N such RDNNs (2.​4) with hybrid coupling. The mathematical model of the network can be described as follows:

(6.1)

where is the state vector of node i; c and are positive real numbers, which represent the overall coupling strength; and are positive definite inner coupling matrices; and represent the topological structure of network and coupling strength between nodes, where ( can be defined similarly) is defined as follows: if there exists a connection between node i and node j, then ; otherwise, , and the diagonal elements of matrix G are defined by

The initial value and boundary value conditions associated with network (6.1) are given in the form

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