IMPULSIVE STABILITY ANALYSIS OF FUZZY HOPFIELD CELLULAR NEURAL NETWORKS WITH TIME-DELAYS

Weiming Tan (P. R. China) and Zaitang Huang (P. R. China)

Received November 14, 2007; Revised December 15, 2007

Abstract

The ordinary Takagi-Sugeno (TS) fuzzy models have provided an approach to represent complex nonlinear system to a set of linear sub-models by using fuzzy sets and fuzzy reasoning. In this paper, fuzzy Hopfield neural networks with time-delays and impulse are studied. By means of classical analysis methods and Razumikhin technique, the criteria of uniform stability and global asymptotic stability for impulsive for fuzzy Hopfield neural networks with time-delays are obtained, respectively. Numerical examples are also discussed to illustrate the efficiency of the obtained results.

Keywords and phrases: fuzzy, impulsive, neural networks, Razumikhin technique, stability.