Adaptive projective synchronization between different chaotic systems with parametric uncertainties and external disturbances

Pramana

Subir Das1¹  Saurabh K Agrawal¹  Mayank Srivastava¹ 

[1] Department of Applied Mathematics, Indian Institute of Technology (BHU), Varanasi 221 005, India$$

关键词: Chaos;    uncertainty;    external disturbance;    Genesio–Tesi system;    Li system;    Lorenz system;    projective synchronization;    adaptive control.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The article deals with adaptive projective synchronization between two different chaotic systems with parametric uncertainties and external disturbances. Based on Lyapunov stability theory, the projective synchronization between a pair of different chaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter update rule for uncertain parameters are designed such that the chaotic response system controls the chaotic drive system. Numerical simulation results are performed to explain the effectiveness and feasibility of the techniques.

【 授权许可】

Unknown