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Mean square exponential stability of stochastic neural networks with reaction–diffusion terms and delays

Authors :
Xu, Xiaohui
Zhang, Jiye
Zhang, Weihua
Source :
Applied Mathematics Letters. Jan2011, Vol. 24 Issue 1, p5-11. 7p.
Publication Year :
2011

Abstract

Abstract: In this paper, some sufficient conditions ensuring mean square exponential stability of the equilibrium point of a class of stochastic neural networks with reaction–diffusion terms and time-varying delays are obtained. The conditions involving the effect of diffusion terms reduce the conservatism of the previous results. Finally, we give a numerical example to verify the effectiveness of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08939659
Volume :
24
Issue :
1
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
54105827
Full Text :
https://doi.org/10.1016/j.aml.2010.07.002