Lyapunov stability analysis of fractional nonlinear systems

被引：122

作者：

Liu, Song ^{[1
]}

Jiang, Wei ^{[1
]}

Li, Xiaoyan ^{[1
]}

Zhou, Xian-Feng ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 51卷

关键词：

Fractional nonlinear system; Lyapunov direct method; Mittag-Leffler stability; Asymptotical stability; DELAY SYSTEMS; THEOREM;

D O I：

10.1016/j.aml.2015.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lyapunov direct method provides a very effective approach to analyze stability of nonlinear systems, however, the well-known Leibniz rule is not suitable for fractional derivatives. This paper deals with fractional nonlinear systems and several algebraic criteria of Mittag-Leflier and asymptotical stability are obtained by using S-procedure and analytical technique. Finally, an example is given to show that it is very convenient to check stability of practical systems by using our proposed methods. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：13 / 19

页数：7