H∞ synchronization of chaotic neural networks with time-varying delays

doi:10.1088/1674-1056/22/11/110504

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110504-110504.doi: 10.1088/1674-1056/22/11/110504

H_∞ synchronization of chaotic neural networks with time-varying delays

O. M. Kwon^a, M. J. Park^a, Ju H. Park^b, S. M. Lee^c, E. J. Cha^d

a School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungdeok-gu, 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, Heungdeok-gu, Cheongju 361-763, Republic of Korea

收稿日期:2013-03-01 修回日期:2013-05-06 出版日期:2013-09-28 发布日期:2013-09-28
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 No. 2012-0000479) and the Korea Healthcare Technology R&D Project, Ministry of Health and Welfare, Republic of Korea (Grant No. A100054).

H_∞ synchronization of chaotic neural networks with time-varying delays

O. M. Kwon^a, M. J. Park^a, Ju H. Park^b, S. M. Lee^c, E. J. Cha^d

a School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungdeok-gu, 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, Heungdeok-gu, Cheongju 361-763, Republic of Korea

Received:2013-03-01 Revised:2013-05-06 Online:2013-09-28 Published:2013-09-28
Contact: Ju H. Park E-mail:jessie@ynu.ac.kr
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 No. 2012-0000479) and the Korea Healthcare Technology R&D Project, Ministry of Health and Welfare, Republic of Korea (Grant No. A100054).

摘要/Abstract

摘要： In this paper, we investigate the problem of H_∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov–Krasovskii functional and using a reciprocally convex approach, a novel H_∞ synchronization criterion for the networks concerned is 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 method.

关键词: chaotic neural networks, time-varying delays, H_∞ synchronization, Lyapunov method

Abstract: In this paper, we investigate the problem of H_∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov–Krasovskii functional and using a reciprocally convex approach, a novel H_∞ synchronization criterion for the networks concerned is 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 method.

Key words: chaotic neural networks, time-varying delays, H_∞ synchronization, Lyapunov method

中图分类号: (Self-organized systems)

05.65.+b

O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha. H_∞ synchronization of chaotic neural networks with time-varying delays[J]. 中国物理B, 2013, 22(11): 110504-110504.

O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha. H_∞ synchronization of chaotic neural networks with time-varying delays[J]. Chin. Phys. B, 2013, 22(11): 110504-110504.

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H_∞ synchronization of chaotic neural networks with time-varying delays

H_∞ synchronization of chaotic neural networks with time-varying delays

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