Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales

Authors:
Yongkun Li;Li Yang;Wanqin Wu
Affiliations:
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China;Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China;Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China
Venue:
International Journal of Systems Science
Year:
2011

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Abstract

In this article, a class of Cohen-Grossberg neutral networks (CGNNs) with time-varying delays on time scales is considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for CGNNs [image omitted] where t ∈ ,  is a periodic time scale, i = 1, 2,..., n.