The adaptive synchronization of fractional-order Liu chaotic system with unknown parameters

被引：0
|
作者：
ADELEH NOURIAN
SAEED BALOCHIAN
机构：
[1] Islamic Azad University,Department of Electrical Engineering, Gonabad Branch
来源：
Pramana | 2016年 / 86卷
关键词：
Fractional derivative systems; adaptive control; chaotic system.; 05.45.−a; 02.30.Yy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the chaos control and the synchronization of two fractional-order Liu chaotic systems with unknown parameters are studied. According to the Lyapunov stabilization theory and the adaptive control theorem, the adaptive control rule is obtained for the described error dynamic stabilization. Using the adaptive rule and a proper Lyapunov candidate function, the unknown coefficients of the system are estimated and the stabilization of the synchronizer system is demonstrated. Finally, the numerical simulation illustrates the efficiency of the proposed method in synchronizing two chaotic systems.
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页码：1401 / 1407
页数：6
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