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2012 Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions
Yanyan Wang, Jianping Zhou
Abstr. Appl. Anal. 2012(SI04): 1-14 (2012). DOI: 10.1155/2012/109319

Abstract

Cohen-Grossberg neural networks with discontinuous activation functions is considered. Using the property of M -matrix and a generalized Lyapunov-like approach, the uniqueness is proved for state solutions and corresponding output solutions, and equilibrium point and corresponding output equilibrium point of considered neural networks. Meanwhile, global exponential stability of equilibrium point is obtained. Furthermore, by contraction mapping principle, the uniqueness and globally exponential stability of limit cycle are given. Finally, an example is given to illustrate the effectiveness of the obtained results.

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Yanyan Wang. Jianping Zhou. "Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions." Abstr. Appl. Anal. 2012 (SI04) 1 - 14, 2012. https://doi.org/10.1155/2012/109319

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1261.34058
MathSciNet: MR2999883
Digital Object Identifier: 10.1155/2012/109319

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI04 • 2012
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