›› 2014, Vol. 23 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/23/12/120505

• GENERAL • 上一篇    下一篇

Cluster synchronization of uncertain complex networks with desynchronizing impulse

蔡国梁, 姜胜芹, 蔡水明, 田立新   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • 收稿日期:2014-04-18 修回日期:2014-07-16 出版日期:2014-12-15 发布日期:2014-12-15
  • 基金资助:
    Project supported by the National Natural Science foundation of China (Grant Nos. 51276081 and 11326193) and the Students' Research Foundation of Jiangsu University, China (Grant Nos. Y13A127 and 12A415).

Cluster synchronization of uncertain complex networks with desynchronizing impulse

Cai Guo-Liang (蔡国梁), Jiang Sheng-Qin (姜胜芹), Cai Shui-Ming (蔡水明), Tian Li-Xin (田立新)   

  1. Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China
  • Received:2014-04-18 Revised:2014-07-16 Online:2014-12-15 Published:2014-12-15
  • Contact: Jiang Sheng-Qin E-mail:jiangshengmeng@126.com
  • Supported by:
    Project supported by the National Natural Science foundation of China (Grant Nos. 51276081 and 11326193) and the Students' Research Foundation of Jiangsu University, China (Grant Nos. Y13A127 and 12A415).

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摘要： Cluster synchronization of nonlinear uncertain complex networks with desynchronizing impulse is explored. First of all, a feedback controller is employed, based on the Lyapunov stability theorem and Lipschitz condition, to guarantee that the uncertain complex networks with desynchronizing impulse synchronize with an object trajectory. Furthermore, a synchronizing impulse controller is presented, which is more efficiently and directly used to achieve the cluster synchronization. Finally, numerical examples are examined to show the effectiveness of the proposed methods.

关键词: uncertain complex networks, desynchronizing impulse, cluster synchronization

Abstract: Cluster synchronization of nonlinear uncertain complex networks with desynchronizing impulse is explored. First of all, a feedback controller is employed, based on the Lyapunov stability theorem and Lipschitz condition, to guarantee that the uncertain complex networks with desynchronizing impulse synchronize with an object trajectory. Furthermore, a synchronizing impulse controller is presented, which is more efficiently and directly used to achieve the cluster synchronization. Finally, numerical examples are examined to show the effectiveness of the proposed methods.

Key words: uncertain complex networks, desynchronizing impulse, cluster synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)