Open AccessPractical partial stability of time-varying systems
Author(s) -
Abdelfettah Hamzaoui,
Nizar Hadj Taieb,
Mohamed Hammami
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021197
Subject(s) - converse , exponential stability , stability (learning theory) , nonlinear system , mathematics , extension (predicate logic) , control theory (sociology) , computer science , calculus (dental) , artificial intelligence , physics , geometry , control (management) , quantum mechanics , machine learning , programming language , medicine , dentistry
In this paper we investigate the practical asymptotic and exponential partial stability of time-varying nonlinear systems. We derive some sufficient conditions that guarantee practical partial stability of perturbed systems using Lyapunov's theory where a converse theorem is presented. Therefore, we generalize some works which are already made in the literature. Furthermore, we present some illustrative examples to verify the effectiveness of the proposed methods.