Lag synchronization of chaotic systems with time-delayed linear terms via impulsive control

Pramana

Dongxu Cao¹  Ranchao Wu1¹ 

[1] School of Mathematics, Anhui University, Hefei-230039, Anhui Province, China$$

关键词: Chaotic systems;    time delays;    impulsive control;    lag synchronization.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the lag synchronization of chaotic systems with time-delayed linear terms via impulsive control is investigated. Based on the stability theory of impulsive delayed differential equations, some sufficient conditions are obtained guaranteeing the synchronized behaviours between two delayed chaotic systems. Numerical simulations on time-delayed Lorenz and hyperchaotic Chen systems are also carried out to show the effectiveness of the proposed scheme. Note that under the scheme the chaotic system is controlled only at discrete time instants, and so it reduces the control cost in real applications.

【 授权许可】

Unknown