中国物理B ›› 2006, Vol. 15 ›› Issue (3): 507-512.doi: 10.1088/1009-1963/15/3/010

• GENERAL • 上一篇    下一篇

Robust synchronization of uncertain chaotic systems

李芳1, 胡爱花1, 徐振源2   

  1. (1)School of Communication and Control Engineering, Southern Yangtze University, Wuxi 214122, China; (2)School of Science, Southern Yangtze University, Wuxi 214122, China
  • 收稿日期:2005-06-30 修回日期:2005-12-16 出版日期:2006-03-20 发布日期:2006-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054).

Robust synchronization of uncertain chaotic systems

Li Fang (李芳)a, Hu Ai-Hua (胡爱花)a, Xu Zhen-Yuan (徐振源)b   

  1. a School of Communication and Control Engineering, Southern Yangtze University, Wuxi 214122, China; b School of Science, Southern Yangtze University, Wuxi 214122, China
  • Received:2005-06-30 Revised:2005-12-16 Online:2006-03-20 Published:2006-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10372054).

摘要: This paper investigates robust unified (lag, anticipated, and complete) synchronization of two coupled chaotic systems. By introducing the concepts of positive definite symmetrical matrix and Riccati inequality and the theory of robust stability, several criteria on robust synchronization are established. Extensive numerical simulations are also used to confirm the results.

Abstract: This paper investigates robust unified (lag, anticipated, and complete) synchronization of two coupled chaotic systems. By introducing the concepts of positive definite symmetrical matrix and Riccati inequality and the theory of robust stability, several criteria on robust synchronization are established. Extensive numerical simulations are also used to confirm the results.

Key words: robust unified synchronization, complete synchronization, lag synchronization, anticipated synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems) 02.10.Yn (Matrix theory) 02.30.Yy (Control theory)