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
收藏
页码：11948 / 11959
页数：12
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