Combination synchronization of fractional order n-chaotic systems using active backstepping design

Nonlinear engineering: Modeling and application

article

Vijay K. Yadav¹  S. Das¹ 

[1] Department of Mathematical Sciences, Indian Institute of Technology (BHU)

关键词: Backstepping method;    Lyapunov stability theory;    Synchronization;    Fractional order chaotic systems;   

DOI  :  10.1515/nleng-2017-0073

来源: De Gruyter

【 摘 要 】

In this article, a scheme using active backstepping design method is proposed to achieve combination synchronization of n number of fractional order chaotic systems. In the proposed method the controllers are designed with the help of a new lemma and Lyapunov function in a systematic way. Synchronization among three/four fractional order systems have been shown as examples of synchronization of n-chaotic systems. Numerical simulation and graphical results clearly exhibit that the method of this new procedure is easy to implement and reliable for synchronization of fractional order chaotic systems.

【 授权许可】

Unknown