Mittag-Leffler stability of random-order fractional nonlinear uncertain dynamic systems with impulsive effects

被引：8

作者：

Phu, Nguyen Dinh ^{[1
]}

Hoa, Ngo Van ^{[2
,3
]}

机构：

[1] Quang Trung Univ, Fac Engn Technol, Qui Nhon, Vietnam

[2] Van Lang Univ, Inst Computat Sci & Artificial Intelligence, Lab Appl & Ind Math, Ho Chi Minh City, Vietnam

[3] Van Lang Univ, Fac Basic Sci, Ho Chi Minh City, Vietnam

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 10期

关键词：

The ramdon-order Caputo fractional derivative; Fractional dynamic systems; Impulsive dynamic systems; Fractional Lyapunov method; DIFFERENTIAL-EQUATIONS; VARIABLE-ORDER; LYAPUNOV FUNCTIONS; STABILIZATION; EXISTENCE;

D O I：

10.1007/s11071-023-08340-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper investigates the Mittag-Leffler stability (MLS) of nonlinear uncertain dynamic systems (NUDSs) with impulsive effects involving the random-order fractional derivative (ROFD) under the fuzzy concept. The major tool used in this paper is Lyapunov's direct method, which brings high efficiency in surveying the stability theory of dynamic systems. Some algebraic inequalities on the ROFD are established, which is necessary to study the MLS of NUDSs. Examples and simulations are also provided to demonstrate the effectiveness of the derived theoretical results.

引用

页码：9409 / 9430

页数：22

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