Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms

A class of nonautonomous neural networks with time-varying delays and reaction-diffusion terms is considered. By means of Lyapunov functionals and differential inequality techniques, criteria on global exponential stability of this model with the Neumann boundary conditions and the Dirichlet boundar...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2009-11, Vol.233 (2), p.241-247
Main Authors: Li, Jinxian, Zhang, Fengqin, Yan, Jurang
Format: Article
Language:English
Subjects:
Delay
Exact sciences and technology
Finite differences and functional equations
Global exponential stability
Mathematical analysis
Mathematics
Neural networks
Numerical analysis
Numerical analysis. Scientific computation
Reaction-diffusion
Sciences and techniques of general use
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Summary:A class of nonautonomous neural networks with time-varying delays and reaction-diffusion terms is considered. By means of Lyapunov functionals and differential inequality techniques, criteria on global exponential stability of this model with the Neumann boundary conditions and the Dirichlet boundary conditions are derived, respectively. The results of this paper are new and they improve and generalize previously known results.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.07.013