Content area

Abstract

This paper investigates the global asymptotic stability of a kind of fuzzy cellular neural networks with mixed delays under impulsive perturbations. The mixed delays include constant delay in the leakage term (i.e., "leakage delay"), time-varying delays, and continuously distributed delays. By using the quadratic convex combination method, reciprocal convex approach, Jensen integral inequality, and linear convex combination technique, several novel sufficient conditions are derived to ensure the global asymptotic stability of the equilibrium point of the considered networks. The proposed results, which do not require the differentiability and monotonicity of the activation functions, can be easily checked via Matlab software. Finally, two numerical examples are given to demonstrate the effectiveness and less conservativeness of our theoretical results over existing literature.[PUBLICATION ABSTRACT]

Details

Title
Global Stability of Fuzzy Cellular Neural Networks with Mixed Delays and Leakage Delay Under Impulsive Perturbations
Author
Zheng, Cheng-de; Wang, Yan; Wang, Zhanshan
Pages
1067-1094
Publication year
2014
Publication date
Apr 2014
Publisher
Springer Nature B.V.
ISSN
0278081X
e-ISSN
15315878
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1508630346
Copyright
Springer Science+Business Media New York 2014