The control of a class of uncertain fractional-order chaotic systems via reduced-order method

被引：6

作者：

Zeng, Yanhui ^{[1
]}

Luo, Runzi ^{[1
]}

Su, Haipeng ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

OPTIK | 2016年 / 127卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Fractional-order chaotic system; Chaos control; Reduced-order method; PROJECTIVE SYNCHRONIZATION; ROSSLER SYSTEM; DIFFERENTIAL-EQUATIONS; LYAPUNOV FUNCTIONS; OBSERVER;

D O I：

10.1016/j.ijleo.2016.09.092

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper we mainly discuss the control of a class of 3,4-dimensional fractional-order chaotic systems with unknown parameter, model uncertainties and external disturbances. Based on the fractional-order extension of Lyapunov stability theorem some novel criteria for the control of a class of 3,4-dimensional fractional-order chaotic systems are proposed via reduced-order method. Moreover, by using our results the control and synchronization of the fractional-order Rossler system is also investigated. Numerical simulations are shown to further verify the feasibility of the presented control schemes. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：11948 / 11959

页数：12

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