Adaptive control and synchronization of an uncertain new hyperchaotic Lorenz system

被引:0
作者
蔡国梁 [1 ]
郑松 [1 ]
田立新 [1 ]
机构
[1] Nonlinear Scientific Research Center,Jiangsu University
基金
中国国家自然科学基金;
关键词
hyperchaotic Lorenz system; control; synchronization; Lyapunov stability theory;
D O I
暂无
中图分类号
O415.5 [混沌理论]; O231 [控制论(控制论的数学理论)];
学科分类号
070105 ; 070201 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要
This paper is involved with the adaptive control and synchronization problems for an uncertain new hyperchaotic Lorenz system. Based on the Lyapunov stability theory,the adaptive control law is derived such that the trajectory of hyperchaotic Lorenz system with unknown parameters can be globally stabilized to an unstable equilibrium point of the uncontrolled system. Furthermore,an adaptive control approach is presented to the synchronizations between two identical hyperchaotic systems,particularly between two different uncertain hyperchaotic systems. Numerical simulations show the effectiveness of the presented method.
引用
收藏
页码:2412 / 2419
页数:8
相关论文
共 16 条
  • [1] Cai G L,Tan Z M,Zou W H,Tu W T. Acta Physiologica Sinica . 2007
  • [2] Wang J,Gao J F,Ma X K. Physics Letters A . 2007
  • [3] Wang F Q,Liu C X. Chinese Physics . 2006
  • [4] Wang X Y,W X J. Acta Physica Sinica . 2006
  • [5] Wang G Y,Zheng Y,Liu J. Acta Physica Sinica . 2007
  • [6] Agiza H N,Yassen M T. Physics Letters A . 2001
  • [7] Wu X Q,Lu J A. Chaos Solitons Fractals . 2003
  • [8] Gao B J,Lu J A. Chinese Physics . 2007
  • [9] Chaos synchronization between linearly coupled chaotic systems. Lu Jinhu,Zhou Tianshou,Zhang Suochun. Chaos Solitons Fractals . 2002
  • [10] Chen X Y,Lu J F. Physics Letters A . 2007