Practical Stability for Conformable Time-Delay Systems-Reference-Cited by-同舟云学术

Practical Stability for Conformable Time-Delay Systems

Published:2023-04-06 Issue: Volume:2023 Page:1-7
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Kharrat Maher¹^ORCID,Gassara Hamdi¹^ORCID,Rhaima Mohamed²^ORCID,Mchiri Lassaad³^ORCID,Ben Makhlouf A.⁴^ORCID

Affiliation:

1. Laboratory of Sciences and Techniques of Automatic & Computer Engineering (Lab-STA), University of Sfax, ENIS, P.O. Box 1173, Sfax 3038, Tunisia

2. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

3. ENSIIE, University of Evry-Val-d’Essonne, 1 Square de la Résistance 91025, Évry-Courcouronnes Cedex, France

4. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

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.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2023/9375360.pdf

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