Exponential stability of complex-valued neural networks with mixed delays

Authors:
Xiaohui Xu;Jiye Zhang;Jizhong Shi
Affiliations:
-;-;-
Venue:
Neurocomputing
Year:
2014

Citing 17
Cited 0

Bidirectional associative memories

IEEE Transactions on Systems, Man and Cybernetics
Exponential stability of Cohen-Grossberg neural networks

Neural Networks
Exponential stability of continuous-time and discrete-time cellular neural networks with delays

Applied Mathematics and Computation
On global asymptotic stability of recurrent neural networks with time-varying delays

Applied Mathematics and Computation
Absolutely exponential stability of a class of neural networks with unbounded delay

Neural Networks
Discrete-time recurrent neural networks with complex-valued linear threshold neurons

IEEE Transactions on Circuits and Systems II: Express Briefs
Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays

Neurocomputing
On activation functions for complex-valued neural networks: existence of energy functions

ICANN/ICONIP'03 Proceedings of the 2003 joint international conference on Artificial neural networks and neural information processing
Recent progress in applications of complex-valued neural networks

ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays

Neural Networks
On equilibrium and stability of a class of neural networks with mixed delays

ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Exponential stability of impulsive stochastic fuzzy reaction-diffusion Cohen-Grossberg neural networks with mixed delays

Neurocomputing
Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions

Neural Networks
Relaxation of the stability condition of the complex-valued neural networks

IEEE Transactions on Neural Networks
Improvements of Complex-Valued Hopfield Associative Memory by Using Generalized Projection Rules

IEEE Transactions on Neural Networks
Neural network for quadratic optimization with bound constraints

IEEE Transactions on Neural Networks
A new robust stability criterion for dynamical neural networks with multiple time delays

Neurocomputing

Quantified Score

Hi-index	0.01

Visualization

Abstract

This paper investigates the problem of the dynamic behaviors of a class of complex-valued neural networks with mixed time delays. Some sufficient conditions for assuring the existence, uniqueness and exponential stability of the equilibrium point of the system are derived using the vector Lyapunov function method, homeomorphism mapping lemma and the matrix theory. The obtained results not only are convenient to check, but also generalize the previously published corresponding results. A numerical example is used to show the effectiveness of the obtained results.