Practical Stability for Conformable Time-Delay Systems

被引：7

作者：

Kharrat, Maher ^{[1
]}

Gassara, Hamdi ^{[1
]}

Rhaima, Mohamed ^{[2
]}

Mchiri, Lassaad ^{[3
]}

Ben Makhlouf, A. ^{[4
]}

机构：

[1] Univ Sfax, Lab Sci & Tech Automat & Comp Engn Lab STA, ENIS, POB 1173, Sfax 3038, Tunisia

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

[3] Univ Evry Val Essonne, ENSIIE, 1 Sq Resistance, F-91025 Evry Courcouronnes, France

[4] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2023年 / 2023卷

关键词：

D O I：

10.1155/2023/9375360

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm the practical exponential stability and design of the proposed class of systems are given by utilizing an adequate Lyapunov-Krasovskii functional (L-KF). These conditions are expressed in the form of linear matrix inequalities (LMI) which could be solved by using solvers in LMI Toolbox of MATLAB. Two numerical examples are given to illustrate the applicability of the proposed results.

引用

页数：7

共 50 条

[21] Robust Stability of Switched Linear Systems with State Time-delay and Input Time-delay [J].

Yan Shitian .

PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, :3399-3401

[22] On the stability radius for linear time-delay systems [J].

Malyshev, Alexander ;

Sadkane, Miloud .

BIT NUMERICAL MATHEMATICS, 2024, 64 (01)

[23] ON THE ROBUSTNESS OF STABILITY FOR UNCERTAIN TIME-DELAY SYSTEMS [J].

LEE, CH ;

LI, THS ;

KUNG, FC .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1995, 26 (02) :457-465

[24] On the robustness of stability for uncertain time-delay systems [J].

Natl Cheng Kung Univ, Tainan, Taiwan .

Int J Syst Sci, 2 (457-465)

[25] ON THE STABILITY OF TIME-DELAY SYSTEMS - NEW RESULTS [J].

HMAMED, A .

INTERNATIONAL JOURNAL OF CONTROL, 1986, 43 (01) :321-324

[26] On positivity and stability of a class of time-delay systems [J].

de la Sen, M. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (03) :749-768

[27] ROBUST STABILITY OF UNCERTAIN TIME-DELAY SYSTEMS [J].

WANG, SS ;

CHEN, BS ;

LIN, TP .

INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (03) :963-976

[28] Uncertainty, Stability and Robustness of Time-Delay Systems [J].

Bars, Ruth ;

Banyasz, Csilla ;

Keviczky, Laszlo .

INTERNATIONAL CONFERENCE ON MECHANICAL, ELECTRONIC AND INFORMATION TECHNOLOGY (ICMEIT 2018), 2018, :176-188

[29] STABILITY OF TIME-DELAY SYSTEMS - ADDITIONAL COMMENTS [J].

BUSLOWICZ, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (09) :934-935

[30] Stability and positive realness of time-delay systems [J].

Mahmoud, MS ;

Xie, LH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 239 (01) :7-19

← 1 2 3 4 5 →