DocumentCode
2987053
Title
Existence and Global Attractivity of Almost Periodic Solution of Hopfield Neural Networks with Time Delays
Author
Meng, Yanshuang
Author_Institution
Dept. of Math. & Phys., Shandong Jiaotong Univ., Jinan, China
fYear
2011
fDate
3-4 Dec. 2011
Firstpage
371
Lastpage
374
Abstract
In this paper, we investigate a class of variable coefficient neural networks with time delays. By means of exponential trichotomy, the Schauder fixed point theorem and the Grown wall inequality, we derive the sufficient conditions for the existence, the uniqueness and the global attractivity of the almost periodic solution. We also obtain this almost periodic solution is also its unique bounded solution.
Keywords
Hopfield neural nets; delays; Grown wall inequality; Hopfield neural networks; Schauder fixed point theorem; almost periodic solution; exponential trichotomy; global attractivity; time delays; variable coefficient neural networks; Couplings; Delay effects; Hopfield neural networks; Linear systems; Sufficient conditions; Vectors; Grownwall inequality; Time delay; almost periodic solution; exponential dichotomy; neural networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location
Hainan
Print_ISBN
978-1-4577-2008-6
Type
conf
DOI
10.1109/CIS.2011.89
Filename
6128142
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