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2008 Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses
Xinsong Yang, Chuangxia Huang, Defei Zhang, Yao Long
Abstr. Appl. Anal. 2008: 1-14 (2008). DOI: 10.1155/2008/432341

Abstract

Impulsive Cohen-Grossberg neural networks with bounded and unbounded delays (i.e., mixed delays) are investigated. By using the Leray-Schauder fixed point theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several new sufficient conditions on the existence and global exponential stability of periodic solution for the system are obtained, which improves some of the known results. An example and its numerical simulations are employed to illustrate our feasible results.

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Xinsong Yang. Chuangxia Huang. Defei Zhang. Yao Long. "Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses." Abstr. Appl. Anal. 2008 1 - 14, 2008. https://doi.org/10.1155/2008/432341

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1160.37431
MathSciNet: MR2471251
Digital Object Identifier: 10.1155/2008/432341

Rights: Copyright © 2008 Hindawi

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