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Abstract and Applied Analysis
Volume 2015, Article ID 283519, 15 pages
http://dx.doi.org/10.1155/2015/283519
Research Article

Global Exponential Stability of Learning-Based Fuzzy Networks on Time Scales

School of Sciences, Jimei University, Xiamen 361021, China

Received 17 June 2014; Accepted 14 August 2014

Academic Editor: Hui-Sheng Ding

Copyright © 2015 Juan Chen et al. 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 a class of fuzzy neural networks with Hebbian-type unsupervised learning on time scales. By using Lyapunov functional method, some new sufficient conditions are derived to ensure learning dynamics and exponential stability of fuzzy networks on time scales. Our results are general and can include continuous-time learning-based fuzzy networks and corresponding discrete-time analogues. Moreover, our results reveal some new learning behavior of fuzzy synapses on time scales which are seldom discussed in the literature.