Exponential stability of Cohen-Grossberg neural networks

Authors:
Lin Wang;Xingfu Zou
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People's Republic of China and Department of Mathematics and Statistics, Memorial University of Newfoundland, St ...;Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, Nfd, Canada A1C 5S7
Venue:
Neural Networks
Year:
2002

Citing 8
Cited 52

Convergent activation dynamics in continuous time networks

Neural Networks
Stability conditions for nonlinear continuous neural networks with asymmetric connection weights

Neural Networks
Stability in asymmetric Hopfield nets with transmission delays

Physica D
Global attractivity in delayed Hopfield neural network models

SIAM Journal on Applied Mathematics
Results concerning the absolute stability of delayed neural networks

Neural Networks
On stability of nonlinear continuous-time neural networks with delays

Neural Networks
A note on stability of analog neural networks with time delays

IEEE Transactions on Neural Networks
On equilibria, stability, and instability of Hopfield neural networks

IEEE Transactions on Neural Networks

New conditions on global stability of Cohen-Grossberg neural networks

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

Neural Networks
Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions

Neural Networks
Dynamical Behaviors of a Large Class of General Delayed Neural Networks

Neural Computation
Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays

Applied Mathematics and Computation
On the existence and stability of the periodic solution in the Cohen-Grossberg neural network with time delay and high-order terms

Applied Mathematics and Computation
New Results on the Robust Stability of Cohen---Grossberg Neural Networks with Delays

Neural Processing Letters
Global attraction and stability for Cohen-Grossberg neural networks with delays

Neural Networks
Stability and Existence of Periodic Solutions of Periodic Cellular Neural Networks with Time-Vary Delays

Computers & Mathematics with Applications
Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays

Journal of Computational and Applied Mathematics
Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays

Computers & Mathematics with Applications
Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays

Computers & Mathematics with Applications
-global stability of a Cohen-Grossberg neural network system with nonnegative equilibria

Neural Networks
Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays

Neural Networks
Global exponential stability analysis of delayed Cohen-Grossberg neural networks with distributed delays

International Journal of Systems Science
Robust Stability in Cohen---Grossberg Neural Network with both Time-Varying and Distributed Delays

Neural Processing Letters
Global Exponential Stability of Fuzzy Cohen-Grossberg Neural Networks with Variable Delays

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Exponential Stability of Discrete-Time Cohen-Grossberg Neural Networks with Delays

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Periodic Solution of Cohen-Grossberg Neural Networks with Variable Coefficients

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Mixed Time-Varying Delays

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Criteria for Exponential Stability of Cohen-Grossberg Neural Networks with Multiple Time-Varying Delays

ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Dynamic of Cohen-Grossberg Neural Networks with Variable Coefficients and Time-Varying Delays

ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Robust stability criteria for interval Cohen-Grossberg neural networks with time varying delay

Neurocomputing
Global stability of a class of Cohen-Grossberg neural networks with delays

International Journal of Intelligent Systems Technologies and Applications
Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays

Neurocomputing
Anti-periodic solutions for a class of Cohen-Grossberg neural networks

Computers & Mathematics with Applications
Nonnegative Periodic Dynamics of Cohen-Grossberg Neural Networks with Discontinuous Activations and Discrete Time Delays

ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Global robust exponential stability for second-order Cohen-Grossberg neural networks with multiple delays

Neurocomputing
Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Multiple Discrete Delays

ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Asymptotic behavior of periodic Cohen-Grossberg neural networks with delays

Neural Computation
Global exponential stability of discrete-time Cohen-Grossberg neural networks

Neurocomputing
Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays

Neurocomputing
Global stability analysis in Cohen-Grossberg neural networks with delays and inverse Hölder neuron activation functions

Information Sciences: an International Journal
Nonnegative periodic dynamics of delayed Cohen-Grossberg neural networks with discontinuous activations

Neurocomputing
The existence of nonzero almost periodic solution for Cohen-Grossberg neural networks with continuously distributed delays and impulses

Neurocomputing
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions

SIAM Journal on Control and Optimization
Robust stability of delayed fuzzy Cohen-Grossberg neural networks

Computers & Mathematics with Applications
Stochastic exponential stability of Cohen-Grossberg neural networks with Markovian jumping parameters and mixed delays

ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Exponential stability of stochastic cohen-grossberg neural networks with time-varying delays

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Global attractivity of cohen-grossberg model with delays

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Periodic oscillation and exponential stability of a class of competitive neural networks

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
New results for global exponential stability of delayed cohen-grossberg neural networks

ICIC'06 Proceedings of the 2006 international conference on Intelligent Computing - Volume Part I
Global asymptotical stability of cohen-grossberg neural networks with time-varying and distributed delays

ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Exponential synchronization of stochastic Cohen-Grossberg neural networks with mixed time-varying delays and reaction-diffusion via periodically intermittent control

Neural Networks
Global exponential stability of Cohen-Grossberg neural networks with distributed delays

Mathematical and Computer Modelling: An International Journal
Exponential stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed delays

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

Fuzzy Sets and Systems
Robust stability for uncertain stochastic neural network with delay and impulses

Neurocomputing
Dynamics of an adaptive higher-order Cohen-Grossberg model

Neurocomputing
Dynamical behaviors of Cohen-Grossberg neural networks with mixed time delays and discontinuous activations

Neurocomputing
Exponential stability of complex-valued neural networks with mixed delays

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

Exponential stabilities of the Cohen-Grossberg neural network with and without delays are analyzed. By Liapunov functions/functionals, sufficient conditions are obtained for general exponential stability, while by using a comparison result from the theory of monotone dynamical systems, componentwise exponential stability is also discussed. All results are established without assuming any symmetry of the connection matrix, and the differentiability and monotonicity of the activation functions.