DISSIPATIVITY OF NON-AUTONOMOUS NEUTRAL NEURAL NETWORKS WITH TIME-VARYING DELAYS

Qingyi Guo (P. R. China), Xiaohu Wang (P. R. China) and Zhixia Ma (P. R. China)

Received March 28, 2008

Abstract

In this paper, a non-autonomous neutral neural network system with time-varying delays is considered. By establishing a singular delay differential inequality and transforming the n-dimensional neutral differential system to a 2n-dimensional singular differential system, by applying the properties of M-cone, the techniques of inequality analysis and matrix analysis, some sufficient conditions ensuring the uniformly dissipative of the solution of nonlinear neutral neural networks with time-varying delays are obtained. The results can extend and improve the earlier publications.

Keywords and phrases: neutral, neural networks, dissipativity, differential inequality, delay.