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

被引：9

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.

引用

页数：16

共 36 条

[31] Synchronization of chaotic systems using fuzzy impulsive control [J].

Wang, Zi-Peng ;

Wu, Huai-Ning .

NONLINEAR DYNAMICS, 2014, 78 (01) :729-742

[32] Pulsed chaos synchronization in networks with adaptive couplings [J].

Winkler, Marco ;

Butsch, Sebastian ;

Kinzel, Wolfgang .

PHYSICAL REVIEW E, 2012, 86 (01)

[33] Dual phase and dual anti-phase synchronization of fractional order chaotic systems in real and complex variables with uncertainties [J].

Yadav, Vijay K. ;

Kumar, Rakesh ;

Leung, A. Y. T. ;

Das, Subir .

CHINESE JOURNAL OF PHYSICS, 2019, 57 :282-308

[34] Adaptive synchronization of uncertain fractional-order chaotic systems using sliding mode control techniques [J].

Yaghooti, Bahram ;

Siahi Shadbad, Ali ;

Safavi, Kaveh ;

Salarieh, Hassan .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2020, 234 (01) :3-9

[35] Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication [J].

Yang, T ;

Chua, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :976-988

[36] Dual projective synchronization between integer-order and fractional-order chaotic systems [J].

Zhang, Qing ;

Xiao, Jian ;

Zhang, Xiao-Qing ;

Cao, Duan-Yang .

OPTIK, 2017, 141 :90-98

← 1 2 3 4 →