Abstract and Applied Analysis

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

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 432341, 14 pages.

Dates
First available in Project Euclid: 10 February 2009

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1234299002

Digital Object Identifier
doi:10.1155/2008/432341

Mathematical Reviews number (MathSciNet)
MR2471251

Zentralblatt MATH identifier
1160.37431

Citation

Yang, Xinsong; Huang, Chuangxia; Zhang, Defei; Long, Yao. Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses. Abstr. Appl. Anal. 2008 (2008), Article ID 432341, 14 pages. doi:10.1155/2008/432341. https://projecteuclid.org/euclid.aaa/1234299002


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