Original article: Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays

Authors:
Shujun Long;Xiaohu Wang;Dingshi Li
Affiliations:
College of Mathematics and Information Science, Leshan Normal University, Leshan 614004, PR China and Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2012

Citing 14
Cited 0

Matrix analysis

Matrix analysis
Global exponential convergence of recurrent neural networks with variable delays

Theoretical Computer Science
Global stability analysis of a class of delayed cellular neural networks

Mathematics and Computers in Simulation
Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays

Neurocomputing
Delay-dependent stability analysis for impulsive neural networks with time varying delays

Neurocomputing
Fundamental study: Global dynamics for non-autonomous reaction-diffusion neural networks with time-varying delays

Theoretical Computer Science
New delay-dependent exponential stability criteria of BAM neural networks with time delays

Mathematics and Computers in Simulation
Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays

Mathematics and Computers in Simulation
Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

Mathematics and Computers in Simulation
Global exponential stability of delayed reaction-diffusion neural networks with time-varying coefficients

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
Boundedness and exponential stability for nonautonomous FCNNs with distributed delays and reaction-diffusion terms

Neurocomputing
Original article: LMI criteria on exponential stability of BAM neural networks with both time-varying delays and general activation functions

Mathematics and Computers in Simulation
Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, a class of non-autonomous reaction-diffusion neural networks with time-varying delays is investigated. By establishing a new differential inequality and employing the properties of spectral radius of nonnegative matrix and diffusion operator, the global attracting and positive invariant sets and exponential stability of non-autonomous reaction-diffusion neural networks with time-varying delays are obtained. Our results do not require the conditions of boundedness of the coefficient of neural networks. One example is given to illustrate the effectiveness of our conclusion.