IJPAM: Volume 59, No. 4 (2010)

STABILITY ANALYSIS FOR IMPULSIVE COHEN-GROSSBERG
NEURAL NETWORKS WITH DISCRETE AND
DISTRIBUTED DELAYS ON TIME SCALES

Lili Zhao$^1$, Ping Liu$^2$
$^{1,2}$Department of Mathematics
Yunnan University
Kunming, Yunnan, 650091, P.R. CHINA
$^1$e-mail: llzhao@ynu.edu.cn
$^2$e-mail: liuping@ynu.edu.cn


Abstract.In this paper, we investigate a class of impulsive Cohen-Grossberg neural networks with time varying delays and distributed delays on time scales. By applying $M$-matrix theory and the nonlinear measure approach and constructing some suitable Lyapunov functions, sufficient conditions are obtained for the existence and global exponential stability of equilibrium point for a class of impulsive Cohen-Grossberg neural networks with discrete and distributed delays on time scales.

Received: January 30, 2010

AMS Subject Classification: 26A33

Key Words and Phrases: Cohen-Grossberg neural networks, impulsive effect, equilibrium point, global exponential stability, time scales

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 4