The proof of Lyapunov asymptotic stability theorems for Caputo fractional order systems

被引：11

作者：

Wei, Yiheng ^{[1
]}

Cao, Jinde ^{[1
,2
]}

Chen, Yuquan ^{[3
]}

Wei, Yingdong ^{[4
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

[2] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

[3] Hohai Univ, Coll Energy & Elect Engn, Nanjing 211106, Peoples R China

[4] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 129卷

基金：

中国国家自然科学基金;

关键词：

Fractional order systems; Lyapunov method; Asymptotic stability; Caputo derivative;

D O I：

10.1016/j.aml.2022.107961

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A recent comment paper (Wu, 2021) pointed out that the proof for the existing asymptotic stability theorems of Caputo fractional order systems is questionable. Since these theorems are fundamental and widely adopted in many scenarios, such a comment indeed causes panic in fractional community and doubt from other academic communities. Under this background, the mentioned theorems are revisited and confirmed. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：10

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