中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90504-090504.doi: 10.1088/1674-1056/22/9/090504

• GENERAL • 上一篇    下一篇

Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay

王军义, 张化光, 王占山, 梁洪晶   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • 收稿日期:2012-12-17 修回日期:2013-03-18 出版日期:2013-07-26 发布日期:2013-07-26
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61074073 and 61034005), the Fundamental Research Funds for the Central Universities of China (Grant No. N110504001), and the Open Project of the State Key Laboratory of Management and Control for Complex Systems, China (Grant No. 20110107).

Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay

Wang Jun-Yi (王军义), Zhang Hua-Guang (张化光), Wang Zhan-Shan (王占山), Liang Hong-Jing (梁洪晶)   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2012-12-17 Revised:2013-03-18 Online:2013-07-26 Published:2013-07-26
  • Contact: Zhang Hua-Guang E-mail:hgzhang@ieee.org
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61074073 and 61034005), the Fundamental Research Funds for the Central Universities of China (Grant No. N110504001), and the Open Project of the State Key Laboratory of Management and Control for Complex Systems, China (Grant No. 20110107).

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摘要： This paper deals with the cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality (LMI) technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.

关键词: complex network, cluster exponential synchronization, linear matrix inequality, time-varying delay

Abstract: This paper deals with the cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality (LMI) technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.

Key words: complex network, cluster exponential synchronization, linear matrix inequality, time-varying delay

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.85.dq (Neural networks) 02.10.Yn (Matrix theory)