A passivity based synchronization between two different chaotic systems

International Journal of Physical Sciences

Choon Ki Ahn¹ 

关键词: Passivity-based synchronization;    two different chaotic systems;    linear matrix inequality (LMI);    Lyapunov stability theory.;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.

【 授权许可】

CC BY