Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems

被引：14

作者：

Nguyen, Thi Thu Huong ^{[1
]}

Nguyen, Nhu Thang ^{[2
]}

Tran, Minh Nguyet ^{[3
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Dai Co Viet 1, Hai Ba Trung, Hanoi, Vietnam

[2] Hanoi Natl Univ Educ, Dept Math & Informat, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

[3] Thang Long Univ, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 01期

关键词：

Finite time stability; Fractional differential delay system; Mittag-Leffler function; Global fractional Halanay inequality; DIFFERENTIAL-EQUATIONS; GRONWALL INEQUALITY;

D O I：

10.1016/j.jmaa.2023.127145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the robust finite time stability of fractional order systems with time varying delay and nonlinear perturbation. We improve the sufficient condition for general fractional delay systems by utilizing the special structure of a singular Gronwall inequality. For stable fractional delay systems, our approach bases on a global Halanay type inequality in differential and integral forms. A sharper delay dependent sufficient condition for robust finite time stability of such systems is formulated in terms of the Mittag-Leffler functions and the delayed size. The connection between the new sufficient condition and the previous results is compared and discussed thoroughly.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：16

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[2]

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