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Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks
journal contribution
posted on 2014-08-01, 00:00 authored by Levan Hien, T T Loan, B T Huyen Trang, Hieu TrinhHieu TrinhIn this paper, a class of periodic Cohen-Grossberg neural networks with discrete and distributed time-varying delays is considered. By an extension of the Lyapunov-Krasovskii functional method, a novel criterion for the existence and uniqueness and global asymptotic stability of positive periodic solution is derived in terms of M-matrix without any restriction on uniform positiveness of the amplification functions. Comparison and illustrative examples are given to illustrate the effectiveness of the obtained results. © 2014 Elsevier Inc. All rights reserved.