[1] Zhang HaitaoWang TingFei ShuminLi Tao,. Improved results on synchronization in arraysof coupled delayed neural networks with hybrid coupling [J]. Journal of Southeast University (English Edition), 2010, 26 (3): 448-452. [doi:10.3969/j.issn.1003-7985.2010.03.015]

Copy

Improved results on synchronization in arraysof coupled delayed neural networks with hybrid coupling()

Share：

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

26

Issue:

2010 3

Page:

448-452

Research Field:

Automation

Publishing date:

2010-09-30

Info

Title:

Improved results on synchronization in arraysof coupled delayed neural networks with hybrid coupling

Author(s):

Zhang HaitaoWang TingFei ShuminLi Tao

School of Automation, Southeast University, Nanjing 210096, China
Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University, Nanjing 210096, China

Keywords:

delayed neural networks;  hybrid coupling;  synchronization;  Lyapunov-Krasovskii functional;  linear matrix inequality(LMI)

PACS:

TP183

DOI:

10.3969/j.issn.1003-7985.2010.03.015

Abstract:

In order to investigate the influence of hybrid coupling on the synchronization of delayed neural networks, by choosing an improved delay-dependent Lyapunov-Krasovskii functional, one less conservative asymptotical criterion based on linear matrix inequality(LMI)is established. The Kronecker product and convex combination techniques are employed. Also the bounds of time-varying delays and delay derivatives are fully considered. By adjusting the inner coupling matrix parameters and using the Matlab LMI toolbox, the design and applications of addressed coupled networks can be realized. Finally, the efficiency and applicability of the proposed results are illustrated by a numerical example with simulations.

References:

[1] Pecora L M, Carroll T L. Synchronization in chaotic systems [J]. Physical Review Letters, 1990, 64(8): 821-824.
[2] Carroll T L, Pecora L M. Synchronization chaotic circuits [J]. IEEE Transactions on Circuits and Systems, 1991, 38(4): 453-456.
[3] Wu W, Chen T P. Global synchronization criteria of linearly coupled neural network systems with time-varying coupling [J]. IEEE Transactions on Neural Networks, 2008, 19(2): 319-332.
[4] Zhang Y P, Sun J T. Robust synchronization of coupled delayed neural networks under general impulsive control [J]. Chaos, Solitons and Fractals, 2009, 41(3): 1476-1480.
[5] Xia Y H, Yang Z, Han M A. Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks [J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(9/10): 3645-3659.
[6] Lou X Y, Cui B T. Synchronization of neural networks based on parameter identification and via output or state coupling [J]. Journal of Computational and Applied Mathematics, 2008, 222(2): 440-457.
[7] Liang J L, Wang Z D, Liu Y R. Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks [J]. IEEE Transactions on Neural Networks, 2008, 19(11): 1910-1921.
[8] Song Q K. Synchronization analysis of coupled connected neural networks with mixed time delays [J]. Neurocomputing, 2009, 72(16/17/18): 3907-3914.
[9] Yuan K. Robust synchronization in arrays of coupled networks with delay and mixed coupling [J]. Neurocomputing, 2009, 72(4/5/6): 1026-1031.
[10] Cao J D, Chen G R, Li P. Global synchronization in an array of delayed neural networks with hybrid coupling [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 2008, 38(2): 488-498.
[11] Yue D, Tian E G, Zhang Y J. Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 2009, 39(2): 503-516.

Memo

Memo:

Biographies: Zhang Haitao(1975—), male, graduate; Fei Shumin(corresponding author), male, doctor, professor, smfei@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60764001, 60835001, 60875035, 61004032), the Postdoctoral Key Research Fund of Southeast University, the Natural Science Foundation of Jiangsu Province(No.BK2008294).
Citation: Zhang Haitao, Wang Ting, Fei Shumin, et al.Improved results on synchronization in arrays of coupled delayed neural networks with hybrid coupling[J].Journal of Southeast University(English Edition), 2010, 26(3):448-452.

Common functions