Finite-time stability and finite-time boundedness of fractional order switched systems

被引：33

作者：

Liang, Jinxia ^{[1
]}

Wu, Baowei ^{[1
]}

Liu, Lili ^{[1
]}

Wang, Yue-E ^{[1
]}

Li, Changtao ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2019年 / 41卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Fractional order systems; switched systems; finite-time stability; finite-time boundedness; DELAY;

D O I：

10.1177/0142331219826333

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Finite-time stability and finite-time boundedness of fractional order switched systems with 0<alpha<1 are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

引用

页码：3364 / 3371

页数：8

共 29 条

[1] On the asymptotic stability of linear system of fractional-order difference equations [J].

Abu-Saris, Raghib ;

Al-Mdallal, Qasem .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (03) :613-629

[2]

Amato F, 2001, AUTOMATICA, V62, P103

[3]

[Anonymous], 2012, SELECTED PROBLEMFR

[4]

[Anonymous], 2001, APPL FRACTIONAL CALC

[5]

Cao XY, 2016, INT J INNOV RES COMP, V5, P333, DOI [10.21276/ijircst.2017.5.4.7, DOI 10.21276/IJIRCST.2017.5.4.7]

[6]

Das S., 2011, FUNCT FRACT CALC 2

[7] Stability of fractional order switching systems [J].

Hassan HosseinNia, S. ;

Tejado, Ines ;

Vinagre, Bias M. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) :585-596

[8]

Kilbas AA., 2006, Theory and Applications of Fractional Differential Equations, DOI 10.1016/S0304-0208(06)80001-0

[9] Basic theory of fractional differential equations [J].

Lakshmikantham, V. ;

Vatsala, A. S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2677-2682

[10] LMI-based robust control of fractional-order uncertain linear systems [J].

Lan, Yong-Hong ;

Zhou, Yong .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1460-1471

← 1 2 3 →