Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses

Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses

Xinsong Yang, Chuangxia Huang, Defei Zhang, and Yao Long

Source: Abstr. Appl. Anal. Volume 2008 (2008), 14 pages.

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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1234299002
Digital Object Identifier: doi:10.1155/2008/432341
Mathematical Reviews number (MathSciNet): MR2471251
Zentralblatt MATH identifier: 1160.37431

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