Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (29): 12-14.

• 博士论坛 • Previous Articles     Next Articles

Synchronization and parameters identification of discrete chaotic systems

HU Aihua,XU Zhenyuan   

  1. School of Science,Jiangnan University,Wuxi,Jiangsu 214122,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-10-11 Published:2011-10-11

离散混沌系统的同步与参数识别

胡爱花,徐振源   

  1. 江南大学 理学院,江苏 无锡 214122

Abstract: This paper studies the problem of synchronization when the driving system is a discrete chaotic system with unknown parameters.By designing the parameters and controller in the response system,the synchronization in the driving-response systems is achieved.Moreover,the unknown parameters in the driving system are identified.Based on the Lyapunov stability theorem of the discrete system,theoretical result is proposed.In addition,the discrete Hénon map is taken for illustration and verification.

Key words: discrete chaotic system, synchronization, parameters identification, Lyapunov theorem

摘要: 研究了驱动系统为参数未知的离散混沌系统时的同步问题,通过设计响应系统中的参数与控制器,实现驱动-响应系统的同步,识别出驱动系统的未知参数。基于离散系统的Lyapunov稳定性定理,给出了理论推导。以离散Hénon混沌系统为例进行了数值仿真,验证了该方法的有效性。

关键词: 离散混沌系统, 同步, 参数识别, Lyapunov定理