Global Synchronization in an Array of Delayed Neural Networks with Nonlinear Coupling

Authors:
Jinling Liang;Ping Li;Yongqing Yang
Affiliations:
Department of Mathematics, Southeast University, Nanjing, 210096, China;Department of Mathematics, Southeast University, Nanjing, 210096, China;School of Science, Southern Yangtze University, Wuxi, 214122, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
Year:
2007

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Abstract

In this paper, synchronization is investigated for an array of nonlinearly coupled identical connected neural networks with delay. By employing the Lyapunov functional method and the Kronecker product technique, several sufficient conditions are derived. It is shown that global exponential synchronization of the coupled neural networks is guaranteed by a suitable design of the coupling matrix, the inner linking matrix and some free matrices representing the relationships between the system matrices. The conditions obtained in this paper are in the form of linear matrix inequalities, which can be easily computed and checked in practice. A typical example with chaotic nodes is finally given to illustrate the effectiveness of the proposed synchronization scheme.