Adaptive Synchronization for Hyperchaotic Liu System

Frontiers in Physics

Gang Zheng¹  Yawen Wu²  Shunjie Li² 

[1] INRIA Lille-Nord Europe, Villeneuve d’Ascq, France;School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China;

关键词: chaos synchronization;    hyperchaotic liu system;    adaptive control;    barlalat’s lemma;    lyapunov stability theory;   

DOI  :  10.3389/fphy.2021.812048

来源: DOAJ

【 摘 要 】

In this paper, the adaptive control design is investigated for the chaos synchronization of two identical hyperchaotic Liu systems. First, an adaptive control law with two inputs is proposed based on Lyapunov stability theory. Secondly, two other control schemes are obtained based on a further analysis of the proposed adaptive control law. Finally, numerical simulations are presented to validate the effectiveness and correctness of these results.

【 授权许可】

Unknown