Input-to-state stable (ISS) and exponential chaotic lag synchronization

International Journal of Physical Sciences

Choon Ki Ahn¹ 

关键词: Input-to-state stability (ISS);    chaotic systems;    lag synchronization;    linear matrix inequality (LMI);    Lyapunov theory.;   

DOI  :  10.5897/IJPS11.541

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, the lag synchronization problem is considered for chaotic dynamical systems with external disturbance via input-to-state stability (ISS). A sufficient condition for determining the lag synchronization between the drive and corresponding response systems is derived based on Lyapunov theory. The proposed ISS lag synchronization controller guarantees the exponential lag synchronization and achieves the bounded lag synchronization error for any bounded disturbance. The effectiveness of the proposed schemes is verified via numerical simulation.

【 授权许可】

CC BY