Synchronization criteria for coupled Hopfield neural networks with time-varying delays

This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov Krasovskii＇s functional and use of Finsler＇s lemma, novel synchronization criteria for the networks are established in terms of linea...

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Bibliographic Details
Published in:Chinese physics B 2011-11, Vol.20 (11), p.140-150
Main Authors: Park, M.J, Kwon, O.M, Park, Ju H, Lee, S.M, Cha, E.J
Format: Article
Language:English
Subjects:
Algorithms
Criteria
Delay
Hopfield型神经网络
Hopfield神经网络
Lyapunov
Networks
Neural networks
Optimization
Synchronism
Synchronization
同步
推移
时滞依赖
线性矩阵不等式
耦合
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Summary:This paper proposes new delay-dependent synchronization criteria for coupled Hopfield neural networks with time-varying delays. By construction of a suitable Lyapunov Krasovskii＇s functional and use of Finsler＇s lemma, novel synchronization criteria for the networks are established in terms of linear matrix inequalities （LMIs） which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/11/110504