Electron. J. Diff. Eqns., Vol. 2009(2009), No. 41, pp. 1-7.

Exponential convergence of solutions of SICNNs with mixed delays

Hui-Sheng Ding, Guo-Rong Ye

Abstract:
In this paper, we discuss shunting inhibitory cellular neural networks (SICNNs) with mixed delays and time-varying coefficients. We establish conditions for all solutions of SICNNs to converge exponentially to zero. Our theorem improve some known results and allow for more general activation functions.

Submitted November 17, 2008. Published March 19, 2009.
Math Subject Classifications: 34K25, 34K20.
Key Words: Exponential convergence behavior; delay; shunting inhibitory cellular neural networks.

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Hui-Sheng Ding
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: dinghs@mail.ustc.edu.cn
Guo-Rong Ye
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: yeguorong2006@sina.com

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