Practical Stability for Conformable Time-Delay Systems. (6th April 2023)

• Record Type: Journal Article
• Authors: Kharrat, Maher; Gassara, Hamdi; Rhaima, Mohamed; Mchiri, Lassaad; Ben Makhlouf, A.
• Other Names: De la Sen Manuel Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2023(2023)
• Publication Date: 2023-04-06
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2023/9375360
• Languages: English
• ISSNs: 1026-0226

Abstract

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.