Stability and Stabilization for a Class of Semilinear Fractional Differential Systems

被引：1

作者：

Ibrahim, Badawi Hamza Elbadawi ^{[1
,2
]}

Dong, Qixiang ^{[3
]}

Zhang, Zhengdi ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Univ Khartoum, Dept Math, Fac Educ, Omdurman, Sudan

[3] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

ORDER NONLINEAR-SYSTEMS; MODEL;

D O I：

10.1155/2020/3814902

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a class of semilinear fractional-order systems with Caputo derivative. New conditions ensuring asymptotic stability and stabilization of fractional systems with the fractional order between 0 and 2 are proposed. The analysis is based on a property of convolution and asymptotic properties of Mittag-Leffler functions. Some numerical examples are provided to illustrate the feasibility and validity of the proposed approach.

引用

页数：11

共 27 条

[1]

Abbas S., 2012, Topics in fractional differential equations, V27

[2] Control of non-integer-order dynamical systems using sliding mode scheme [J].

Aghababa, Mohammad Pourmahmood .

COMPLEXITY, 2016, 21 (06) :224-233

[3] Lyapunov functions for fractional order systems [J].

Aguila-Camacho, Norelys ;

Duarte-Mermoud, Manuel A. ;

Gallegos, Javier A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957

[4]

Arendt W., 2013, MONOGRAPHS MATH, V96

[5] Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization [J].

Chen, Diyi ;

Zhao, Weili ;

Sprott, Julien Clinton ;

Ma, Xiaoyi .

NONLINEAR DYNAMICS, 2013, 73 (03) :1495-1505

[6] New results on stability and stabilization of a class of nonlinear fractional-order systems [J].

Chen, Liping ;

He, Yigang ;

Chai, Yi ;

Wu, Ranchao .

NONLINEAR DYNAMICS, 2014, 75 (04) :633-641

[7] About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory [J].

De la Sen, M. .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[8]

Diethelm K., 2019, LECT NOTES MATH, V2004

[9] Non-linear Mittag-Leffler stabilisation of commensurate fractional-order non-linear systems [J].

Ding, Dongsheng ;

Qi, Donglian ;

Wang, Qiao .

IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (05) :681-690

[10] Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2 [J].

Huang, Sunhua ;

Wang, Bin .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (03)

← 1 2 3 →