Dynamical analysis of Cohen–Grossberg neural networks with finite and infinite delays

A model describing dynamics of Cohen–Grossberg neural networks with finite and infinite delays is considered. By means of Lyapunov functionals and differential inequality techniques, criteria on global asymptotic stability of this model are derived. The results of this paper are new and they supplem...

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Bibliographic Details
Published in:Applied mathematics and computation 2009-07, Vol.213 (2), p.529-537
Main Authors: Li, Jinxian, Yan, Jurang, Jia, Xinchun
Format: Article
Language:English
Subjects:
Cohen–Grossberg neural networks
Exact sciences and technology
Finite differences and functional equations
Global asymptotic stability
Lyapunov functionals
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Time delay
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Summary:A model describing dynamics of Cohen–Grossberg neural networks with finite and infinite delays is considered. By means of Lyapunov functionals and differential inequality techniques, criteria on global asymptotic stability of this model are derived. The results of this paper are new and they supplement previously known results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2009.03.086