Finite-time stability of linear stochastic fractional-order systems with time delay

被引：11

作者：

Mchiri, Lassaad ^{[1
]}

Ben Makhlouf, Abdellatif ^{[2
,3
]}

Baleanu, Dumitru ^{[4
,5
]}

Rhaima, Mohamed ^{[1
,6
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

[2] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka, Saudi Arabia

[3] Univ Sfax, Dept Math, Fac Sci Sfax, Route Soukra,BP 1171, Sfax 3000, Tunisia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

[5] Inst Space Sci, Magurele, Romania

[6] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Generalized Gronwall inequality; Caputo derivative; SENSOR FAULT ESTIMATION; STABILIZATION;

D O I：

10.1186/s13662-021-03500-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for alpha is an element of (1/2, 1). Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

引用

页数：10

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