中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40512-040512.doi: 10.1088/1674-1056/20/4/040512

• GENERAL • 上一篇    下一篇

New synchronization analysis for complex networks with variable delays

张化光, 宫大为, 王占山   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2010-05-20 修回日期:2010-09-29 出版日期:2011-04-15 发布日期:2011-04-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 50977008, 60774048 and 61034005), the Research Fund for the Doctoral Program of China Higher Education (Grant No. 20070145015) and the National High Technology Research and Development Program of China (Grant No. 2009AA04Z127).

New synchronization analysis for complex networks with variable delays

Zhang Hua-Guang(张化光)†, Gong Da-Wei(宫大为), and Wang Zhan-Shan(王占山)   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2010-05-20 Revised:2010-09-29 Online:2011-04-15 Published:2011-04-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 50977008, 60774048 and 61034005), the Research Fund for the Doctoral Program of China Higher Education (Grant No. 20070145015) and the National High Technology Research and Development Program of China (Grant No. 2009AA04Z127).

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摘要： This paper deals with the issue of synchronization of delayed complex networks. Differing from previous results, the delay interval [0,d(t)] is divided into some variable subintervals by employing a new method of weighting delays. Thus, new synchronization criteria for complex networks with time-varying delays are derived by applying this weighting-delay method and introducing some free weighting matrices. The obtained results have proved to be less conservative than previous results. The sufficient conditions of asymptotical synchronization are derived in the form of linear matrix inequality, which are easy to verify. Finally, several simulation examples are provided to show the effectiveness of the proposed results.

Abstract: This paper deals with the issue of synchronization of delayed complex networks. Differing from previous results, the delay interval [0,d(t)] is divided into some variable subintervals by employing a new method of weighting delays. Thus, new synchronization criteria for complex networks with time-varying delays are derived by applying this weighting-delay method and introducing some free weighting matrices. The obtained results have proved to be less conservative than previous results. The sufficient conditions of asymptotical synchronization are derived in the form of linear matrix inequality, which are easy to verify. Finally, several simulation examples are provided to show the effectiveness of the proposed results.

Key words: complex networks, synchronization, time-varying delay, weighting delay, linear matrix inequality

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.16.A- (Theory, modeling, and simulations) 87.85.dq (Neural networks)