中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110504-110504.doi: 10.1088/1674-1056/20/11/110504

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

E.J. Cha1, Ju H. Park2, M.J. Park3, O.M. Kwon3, S.M. Lee4   

  1. (1)Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea; (2)Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea; (3)School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea; (4)School of Electronic Engineering, Daegu University, Gyungsan 712-714, Republic of Korea
  • 收稿日期:2011-05-13 修回日期:2011-06-27 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    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).

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

M.J. Parka), O.M. Kwona)†, Ju H. Parkb), S.M. Leec), and E.J. Cha d)   

  1. a School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea; b Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea; c School of Electronic Engineering, Daegu University, Gyungsan 712-714, Republic of Korea; d Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea
  • Received:2011-05-13 Revised:2011-06-27 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    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).

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摘要： 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.

关键词: Hopfield neural networks, coupling delay, synchronization, Lyapunov method

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.

Key words: Hopfield neural networks, coupling delay, synchronization, Lyapunov method

中图分类号:  (Control of chaos, applications of chaos)

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