Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 826908, 13 pages
doi:10.1155/2009/826908
Research Article

Robust Stability Analysis of Fuzzy Neural Network with Delays

Kaihong Zhao1,2 and Yongkun Li1

1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
2Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, China

Received 19 April 2009; Revised 6 July 2009; Accepted 29 December 2009

Academic Editor: Tamas Kalmar-Nagy

Copyright © 2009 Kaihong Zhao and Yongkun Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate local robust stability of fuzzy neural networks (FNNs) with time-varying and S-type distributed delays. We derive some sufficient conditions for local robust stability of equilibrium points and estimate attracting domains of equilibrium points except unstable equilibrium points. Our results not only show local robust stability of equilibrium points but also allow much broader application for fuzzy neural network with or without delays. An example is given to illustrate the effectiveness of our results.