Global attractivity in delayed Hopfield neural network models
SIAM Journal on Applied Mathematics
Exponential stability of Cohen-Grossberg neural networks
Neural Networks
Stability analyses of cellular neural networks with continuous time delay
Journal of Computational and Applied Mathematics
Robust stability for interval Hopfield neural networks with time delay
IEEE Transactions on Neural Networks
Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Neural Processing Letters
Robust Stability in Cohen---Grossberg Neural Network with both Time-Varying and Distributed Delays
Neural Processing Letters
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
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
New criteria for globally exponential stability of delayed Cohen-Grossberg neural network
Mathematics and Computers in Simulation
Global stability of a class of Cohen-Grossberg neural networks with delays
International Journal of Intelligent Systems Technologies and Applications
Anti-periodic solutions for a class of Cohen-Grossberg neural networks
Computers & Mathematics with Applications
Passivity Analysis of a General Form of Recurrent Neural Network with Multiple Delays
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
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
Global exponential stability of Cohen-Grossberg neural network with time varying delays
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
International Journal of Systems, Control and Communications
Stability of equilibrium solution and periodical solution to Cohen-Grossberg neural networks
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
Multistability analysis for a general class of delayed Cohen-Grossberg neural networks
Information Sciences: an International Journal
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
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Global exponential stability of cellular neural networks with time-varying delays and impulses
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
The existence of anti-periodic solutions for high-order cohen-grossberg neural networks
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
New results for global stability of cohen-grossberg neural networks with discrete time delays
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
BAM-type Cohen-Grossberg neural networks with time delays
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Dynamics of an adaptive higher-order Cohen-Grossberg model
Neurocomputing
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In this paper, the Cohen-Grossberg neural network models without and with time delays are considered. By constructing several novel Lyapunov functionals, some sufficient criteria for the existence of a unique equilibrium and global exponential stability of the network are derived. These results are fairly general and can be easily verified. Besides, the approach of the analysis allows one to consider different types of activation functions, including piecewise linear, sigmoids with bounded activations as well as C1 -smooth sigmoids. In the meantime, our approach does not require any symmetric assumption of the connection matrix. It is believed that these results are significant and useful for the design and applications of the Cohen-Grossberg model.