Adaptive control and synchronization of a fractional-order chaotic system

Pramana

Chunlai Li1¹  Yaonan Tong² 

[1]College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China$$

[2]School of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China$$

关键词: Fractional order;    adaptive scheme;    control;    synchronization.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the chaotic dynamics of a three-dimensional fractional-order chaotic system is investigated. The lowest order for exhibiting chaos in the fractional-order system is obtained. Adaptive schemes are proposed for control and synchronization of the fractional-order chaotic system based on the stability theory of fractional-order dynamic systems. The presented schemes, which contain only a single-state variable, are simple and flexible. Numerical simulations are used to demonstrate the feasibility of the presented methods.

【 授权许可】

Unknown