Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters

被引：8
作者：
Liu, Dehui [1 ]
Li, Tianzeng [1 ]
Wang, Yu [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 03期
基金：
英国科研创新办公室;
关键词：
fractional derivative; dual combination synchronization; chaotic system; adaptive control; lyapunov stability theory; PROJECTIVE SYNCHRONIZATION;
D O I：
10.3390/math10030470
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of the dual synchronization of two different fractional-order chaotic systems with uncertain parameters is studied. This paper introduces a synchronization method in accordance with Lyapunov stability theory, and the adaptive controllers and adaptive laws are designed to realize the dual synchronization of fractional order chaotic systems. Finally, two numerical examples of unknown different fractional-order chaotic systems are also given to prove the accuracy of the theory in the paper, and the effectiveness and performance of the proposed adaptive dual synchronization strategy are verified by simulation.
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页数：16
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