中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/22/7/070503

• GENERAL • 上一篇    下一篇

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

王树国a, 郑松b   

  1. a Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
    b School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, China
  • 收稿日期:2012-07-25 修回日期:2012-09-04 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Fundamental Research Funds for the Central Universities,China (Grant No. 2013B10014).

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

Wang Shu-Guo (王树国)a, Zheng Song (郑松)b   

  1. a Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
    b School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, China
  • Received:2012-07-25 Revised:2012-09-04 Online:2013-06-01 Published:2013-06-01
  • Contact: Wang Shu-Guo E-mail:wsg97@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Fundamental Research Funds for the Central Universities,China (Grant No. 2013B10014).

摘要: We investigate the problem of function projective synchronization (FPS) in drive-response dynamical networks with non-identical nodes, an adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only unknown parameters of the networks are estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions but also unknown bounded disturbances can be simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.

关键词: complex networks, function projective synchronization, disturbance adaptive control

Abstract: We investigate the problem of function projective synchronization (FPS) in drive-response dynamical networks with non-identical nodes, an adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only unknown parameters of the networks are estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions but also unknown bounded disturbances can be simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.

Key words: complex networks, function projective synchronization, disturbance adaptive control

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)