Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays

Authors:
Shuyun Niu;Haijun Jiang;Zhidong Teng
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China
Venue:
Neurocomputing
Year:
2008

Citing 6
Cited 5

Global asymptotic stability of delayed bi-directional associative memory neural networks

Applied Mathematics and Computation
Global eponential stability of cellular neural networks with time-varying coefficients and delays

Neural Networks
Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays

Neurocomputing
Impulsive Effects on Stability of Fuzzy Cohen–Grossberg Neural Networks With Time-Varying Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Exponential stability and periodic oscillatory solution in BAM networks with delays

IEEE Transactions on Neural Networks
Global Asymptotical Stability of Recurrent Neural Networks With Multiple Discrete Delays and Distributed Delays

IEEE Transactions on Neural Networks

Robust synchronization in an array of fuzzy delayed cellular neural networks with stochastically hybrid coupling

Neurocomputing
Mean square exponential stability and periodic solutions of stochastic interval neural networks with mixed time delays

Neurocomputing
Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

International Journal of Applied Mathematics and Computer Science
Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks

Fuzzy Sets and Systems
Exponential synchronization of coupled fuzzy neural networks with disturbances and mixed time-delays

Neurocomputing

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, we investigate the fuzzy cellular neural networks (FCNNs) with variable coefficients and time-varying delays. A series of simple sufficient conditions is obtained for checking the boundedness, global exponential stability and the existence and global exponential stability of periodic solutions of FCNNs with variable coefficients and time-varying delays by using Young inequality and general Lyapunov functional. The results given in this paper extend and improve the earlier publications.