New results on stability and stabilization of a class of nonlinear fractional-order systems

被引：106

作者：

Chen, Liping ^{[1
]}

He, Yigang ^{[1
]}

Chai, Yi ^{[2
]}

Wu, Ranchao ^{[3
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China

[3] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 75卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fractional-order systems; Stability; Stabilization; Nonlinear systems; Linear feedback control; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s11071-013-1091-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The asymptotic stability and stabilization problem of a class of fractional-order nonlinear systems with Caputo derivative are discussed in this paper. By using of Mittag-Leffler function, Laplace transform, and the generalized Gronwall inequality, a new sufficient condition ensuring local asymptotic stability and stabilization of a class of fractional-order nonlinear systems with fractional-order alpha:1 <alpha < 2 is proposed. Then a sufficient condition for the global asymptotic stability and stabilization of such system is presented firstly. Finally, two numerical examples are provided to show the validity and feasibility of the proposed method.

引用

页码：633 / 641

页数：9

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