Abstract and Applied Analysis
Volume 2008 (2008), Article ID 432341, 14 pages
Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses
1Department of Mathematics, Southeast University, Nanjing 210096, China
2Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
3Department of Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, China
Received 8 September 2008; Accepted 5 November 2008
Academic Editor: Ülle Kotta
Copyright © 2008 Xinsong Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.