WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Anti-periodic Solutions for A Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Time-varying Delays in the Leakage Terms
Authors: Changjin Xu, Qiming Zhang
Abstract: This paper is concerned with the existence and exponential stability of anti-periodic solutions of a class of shunting inhibitory cellular neural networks with continuously distributed delays and time-varying delays in the leakage terms. By using differential inequality techniques, some verifiable and practical delay-dependent criteria on the existence and exponential stability of anti-periodic solutions for the model are obtained. Numerical simulations are carried out to illustrate the theoretical findings.
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Keywords: Shunting inhibitory cellular neural networks, Anti-periodic solution, Exponential stability, Distributed delay, Time-varying delay, Leakage term
Pages: 736-746
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #72