Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks

Authors:
Quanxin Zhu;Xiaodi Li
Affiliations:
Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China;School of Mathematical Sciences, Shandong Normal University, Jinan 250014, Shandong, China
Venue:
Fuzzy Sets and Systems
Year:
2012

Citing 23
Cited 7

Neural Networks: A Comprehensive Foundation

Neural Networks: A Comprehensive Foundation
Neural Networks for Optimization and Signal Processing

Neural Networks for Optimization and Signal Processing
Exponential stability of Cohen-Grossberg neural networks

Neural Networks
Criteria for exponential stability of Cohen-Grossberg neural networks

Neural Networks
Advanced fuzzy cellular neural network: Application to CT liver images

Artificial Intelligence in Medicine
Stability of Cohen-Grossberg neural networks with time-varying delays

Neural Networks
Letters: Stability analysis of Cohen-Grossberg neural networks with time-varying and distributed delays

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

Neurocomputing
Stability analysis of stochastic fuzzy cellular neural networks with delays

Neurocomputing
Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays

Neurocomputing
Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays

Expert Systems with Applications: An International Journal
Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms

Journal of Computational and Applied Mathematics
Lag synchronization of unknown chaotic delayed Yang-Yang-type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification

IEEE Transactions on Neural Networks
Robust exponential stability of uncertain fuzzy Cohen--Grossberg neural networks with time-varying delays

Fuzzy Sets and Systems
On exponential stability results for fuzzy impulsive neural networks

Fuzzy Sets and Systems
Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays

Neurocomputing
Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays

IEEE Transactions on Neural Networks
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 of Stochastic Neural Networks With Both Markovian Jump Parameters and Mixed Time Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global asymptotic stability for neural network models with distributed delays

Mathematical and Computer Modelling: An International Journal
Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays

Mathematical and Computer Modelling: An International Journal
Object recognition using multilayer Hopfield neural network

IEEE Transactions on Image Processing
Hopfield neural networks for affine invariant matching

IEEE Transactions on Neural Networks

Letters: New delay-variation-dependent stability for neural networks with time-varying delay

Neurocomputing
Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses

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

Neurocomputing
Global exponential stability in the mean square of stochastic cohen-grossberg neural networks with time-varying and continuous distributed delays

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects

Fuzzy Sets and Systems
Neural-network-based output-feedback adaptive dynamic surface control for a class of stochastic nonlinear time-delay systems with unknown control directions

Neurocomputing
Mean-square exponential input-to-state stability of stochastic delayed neural networks

Neurocomputing

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper, we study a class of stochastic fuzzy delayed Cohen-Grossberg neural networks. Two kinds of stability are discussed in our investigation. One is exponential stability in the mean square and the other is almost sure exponential stability. First, some sufficient conditions are derived to guarantee the exponential stability in the mean square for the considered system based on the Lyapunov-Krasovskii functional, stochastic analysis theory and the Ito's formula as well as the Dynkin formula. Then, we further investigate the almost sure exponential stability by employing the nonnegative semi-martingale convergence theorem. Moreover, we prove that the addressed system is both almost sure exponentially stable and exponentially stable in the mean square under suitable conditions. Finally, three numerical examples are also given to show the effectiveness of the theoretical results. In particular, the simulation figures establish that fuzzy systems do have more advantages than non-fuzzy systems.