Journal of Applied Mathematics 
Volume 2008 (2008), Article ID 453627, 18 pages
doi:10.1155/2008/453627
Research Article

Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients

Hongjun Xiang1,2 and Jinde Cao1

 1Department of Mathematics, Southeast University, Nanjing 210096, China
2Department of Mathematics, Xiangnan University, Chenzhou 423000, China
Received 4 July 2007; Accepted 6 December 2007

Recommended by George Jaiani

Abstract

A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. The method is very concise and practical. Moreover, two examples are posed to illustrate the effectiveness of our results.