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

doi:10.1088/1674-1056/20/11/110504

Abstract 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.

Keywords: Hopfield neural networks coupling delay synchronization Lyapunov method

Received: 13 May 2011
Revised: 27 June 2011
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project supported by the Basic Science Research Program Through the National Research Foundation of Korea (NRF) Funded by the Ministry of Education, Science and Technology (Grant Nos. 2011-0001045 and 2011-0009273).

Cite this article:

M.J. Park, O.M. Kwon, Ju H. Park, S.M. Lee, and E.J. Cha Synchronization criteria for coupled Hopfield neural networks with time-varying delays 2011 Chin. Phys. B 20 110504

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

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