On the stability of a class of slowly varying systems

Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach” to derive Lyapunov inequality conditions for the stability of a wide class of slowly varyi...

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Autores principales: Naser, M. F. M., Gumah, G. N., Al-Omari, S. K., Bdair, O. M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290665/
https://www.ncbi.nlm.nih.gov/pubmed/30839875
http://dx.doi.org/10.1186/s13660-018-1934-1
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author Naser, M. F. M.
Gumah, G. N.
Al-Omari, S. K.
Bdair, O. M.
author_facet Naser, M. F. M.
Gumah, G. N.
Al-Omari, S. K.
Bdair, O. M.
author_sort Naser, M. F. M.
collection PubMed
description Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach” to derive Lyapunov inequality conditions for the stability of a wide class of slowly varying systems. These conditions refine those developed in (Khalil in Nonlinear Systems, 2002) and display generality and effectiveness for both linear and nonlinear systems. To illustrate the utility of the proposed results, an example has been included.
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spelling pubmed-62906652018-12-27 On the stability of a class of slowly varying systems Naser, M. F. M. Gumah, G. N. Al-Omari, S. K. Bdair, O. M. J Inequal Appl Research Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach” to derive Lyapunov inequality conditions for the stability of a wide class of slowly varying systems. These conditions refine those developed in (Khalil in Nonlinear Systems, 2002) and display generality and effectiveness for both linear and nonlinear systems. To illustrate the utility of the proposed results, an example has been included. Springer International Publishing 2018-12-11 2018 /pmc/articles/PMC6290665/ /pubmed/30839875 http://dx.doi.org/10.1186/s13660-018-1934-1 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Naser, M. F. M.
Gumah, G. N.
Al-Omari, S. K.
Bdair, O. M.
On the stability of a class of slowly varying systems
title On the stability of a class of slowly varying systems
title_full On the stability of a class of slowly varying systems
title_fullStr On the stability of a class of slowly varying systems
title_full_unstemmed On the stability of a class of slowly varying systems
title_short On the stability of a class of slowly varying systems
title_sort on the stability of a class of slowly varying systems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290665/
https://www.ncbi.nlm.nih.gov/pubmed/30839875
http://dx.doi.org/10.1186/s13660-018-1934-1
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