Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions

Mathematics

Israr Ahmad¹  Azizan Bin Saaban¹  Adyda Binti Ibrahim¹  Mohammad Shahzad² 

[1] School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia; E-Mails:;Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman; E-Mail:

关键词: anti-synchronization;    finite-time stability theory;    chaotic Lu system;    hyperchaotic Li system;   

DOI  :  10.3390/math3041222

来源: mdpi

【 摘 要 】

In this paper, we demonstrate that anti-synchronization (AS) phenomena of chaotic systems with different dimensions can coexist in the finite-time with under the effect of both unknown model uncertainty and external disturbance. Based on the finite-time stability theory and using the master-slave system AS scheme, a generalized approach for the finite-time AS is proposed that guarantee the global stability of the closed-loop for reduced order and increased order AS in the finite time. Numerical simulation results further verify the robustness and effectiveness of the proposed finite-time reduced order and increased order AS schemes.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.