中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100504-100504.doi: 10.1088/1674-1056/22/10/100504

• GENERAL • 上一篇    下一篇

Robust modified projective synchronization of fractional-order chaotic systems with parameters perturbation and external disturbance

王东风, 张金营, 王晓燕   

  1. Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation(North China Electric Power University), Baoding 071003, China
  • 收稿日期:2013-03-04 修回日期:2013-04-15 出版日期:2013-08-30 发布日期:2013-08-30
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61203041) and the Fundamental Research Funds for the Central Universities of China (Grant No. 11MG49).

Robust modified projective synchronization of fractional-order chaotic systems with parameters perturbation and external disturbance

Wang Dong-Feng (王东风), Zhang Jin-Ying (张金营), Wang Xiao-Yan (王晓燕)   

  1. Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation(North China Electric Power University), Baoding 071003, China
  • Received:2013-03-04 Revised:2013-04-15 Online:2013-08-30 Published:2013-08-30
  • Contact: Zhang Jin-Ying E-mail:k.ying_zhang@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61203041) and the Fundamental Research Funds for the Central Universities of China (Grant No. 11MG49).

摘要: Based on fractional-order Lyapunov stability theory, this paper provides a novel method to achieve robust modified projective synchronization of two uncertain fractional-order chaotic systems with external disturbance. Simulation of the fractional-order Lorenz chaotic system and fractional-order Chen’s chaotic system with both parameters uncertainty and external disturbance show the applicability and the efficiency of the proposed scheme.

关键词: fractional-order chaotic system, modified projective synchronization, uncertainty, disturbance

Abstract: Based on fractional-order Lyapunov stability theory, this paper provides a novel method to achieve robust modified projective synchronization of two uncertain fractional-order chaotic systems with external disturbance. Simulation of the fractional-order Lorenz chaotic system and fractional-order Chen’s chaotic system with both parameters uncertainty and external disturbance show the applicability and the efficiency of the proposed scheme.

Key words: fractional-order chaotic system, modified projective synchronization, uncertainty, disturbance

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)