Practical Input-to-State Stability of Nonlinear Systems with Time Delay-Reference-Cited by-同舟云学术

Practical Input-to-State Stability of Nonlinear Systems with Time Delay

Published:2023-09-07 Issue: Volume:2023 Page:1-8
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Ben Makhlouf Abdellatif¹^ORCID,Hadj Taieb Nizar¹^ORCID,Rhaima Mohamed²^ORCID,Mchiri Lassaad³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, Sfax, Tunisia

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

3. ENSIIE, University of Evry-Val-d’Essonne, Évry-Courcouronnes, France

Abstract

An investigation of the input-to-state practical stability (ISpS) and the integral input-to-state practical stability (iISpS) of nonlinear systems with time delays (NSWTDs) is presented in this paper. The ISpS and iISpS of the systems are obtained by using a continuously differentiable Lyapunov–Krasovskii functional (LKF) within-definite derivative, which generalizes the classical LKF with a positive definite derivative. As a result, the uniform practical asymptotic stability (UPAS) criteria of NSWTD were also given by using the proposed LKF.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2023/7564084.pdf

Reference25 articles.

1. Smooth stabilization implies coprime factorization;E. D. Sontag;IEEE Transactions on Automatic Control,1989

2. On characterizations of the input-to-state stability property

3. Comments on integral variants of ISS

4. A characterization of integral input-to-state stability