-global stability of a Cohen-Grossberg neural network system with nonnegative equilibria

Authors:
Wenlian Lu;Tianping Chen
Affiliations:
Laboratory of Nonlinear Mathematics Science, Institute of Mathematics, Fudan University, Shanghai, 200433, PR China and Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany;Laboratory of Nonlinear Mathematics Science, Institute of Mathematics, Fudan University, Shanghai, 200433, PR China
Venue:
Neural Networks
Year:
2007

Citing 5
Cited 13

Exponential stability of Cohen-Grossberg neural networks

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
Robust global exponential stability of Cohen-Grossberg neural networks with time delays

IEEE Transactions on Neural Networks

Improved Global Robust Stability for Interval-Delayed Hopfield Neural Networks

Neural Processing Letters
A critical global convergence analysis of recurrent neural networks with general projection mappings

Neurocomputing
Global Robustly Asymptotically Stability of Cohen-Grossberg Neural Networks with Nonnegative Amplification Function

ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Global Passivity of Stochastic Neural Networks with Time-Varying Delays

ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
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
Asymptotic behavior of periodic Cohen-Grossberg neural networks with delays

Neural Computation
Nonnegative periodic dynamics of delayed Cohen-Grossberg neural networks with discontinuous activations

Neurocomputing
Passivity analysis of neural networks with discrete and distributed delays

International Journal of Systems, Control and Communications
Critical dynamics study on recurrent neural networks: Globally exponential stability

Neurocomputing
Stability of nonnegative periodic solutions of high-ordered neural networks

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
New LMI-based conditions for global exponential stability to a class of Cohen-Grossberg BAM networks with delays

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, without assuming strict positivity of amplifier functions, boundedness of activation functions, or symmetry of the connection matrix, dynamical behaviors of delayed Cohen-Grossberg neural networks with nonnegative equilibria are studied. Based on the theory of the nonlinear complementary problem (NCP), a sufficient condition is derived guaranteeing the existence and uniqueness of the nonnegative equilibrium in the NCP sense. Moreover, this condition also guarantees the -global asymptotic stability of the nonnegative equilibrium in the first orthant. The result is compared with some previous results and numerical examples are presented to indicate the viability of our theoretical analysis.