Abstract and Applied Analysis
Volume 2008 (2008), Article ID 432341, 14 pages
doi:10.1155/2008/432341
Dynamics of Cohen-Grossberg neural networks with mixed delays and impulses
Xinsong Yang1
, Chuangxia Huang1
, Defei Zhang3
and Yao Long3
1Department of Mathematics, Southeast University, Nanjing 210096, China
3Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China
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.