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Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays
This is the first time for studying the issue of finite-time H(∞) synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS. By constructing the Lyapunov-Krasovskii functional (LKF...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8993027/ https://www.ncbi.nlm.nih.gov/pubmed/35395050 http://dx.doi.org/10.1371/journal.pone.0266706 |
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author | Chantawat, Charuwat Botmart, Thongchai |
author_facet | Chantawat, Charuwat Botmart, Thongchai |
author_sort | Chantawat, Charuwat |
collection | PubMed |
description | This is the first time for studying the issue of finite-time H(∞) synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS. By constructing the Lyapunov-Krasovskii functional (LKF) is derived for finite-time stability criteria of CACS with interval and continuous differential time-varying delays. We use Wirtinger-based integral inequality to evaluate the upper bound of the time derivative of the LKF. We apply the single integral form and the double integral form of the integral inequality, according to Wirtinger-based integral inequality, to ensure that the feedback controller for synchronization has good performance with disturbance and time-varying delay. The new sufficient finite-time stability conditions have appeared in the form of linear matrix inequalities (LMIs). Numerical checks can be performed using the LMI toolbox in MATLAB. A numerical example is presented to demonstrate the success of the proposed methods. This resultant is less conservative than the resultants available in the previous works. |
format | Online Article Text |
id | pubmed-8993027 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-89930272022-04-09 Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays Chantawat, Charuwat Botmart, Thongchai PLoS One Research Article This is the first time for studying the issue of finite-time H(∞) synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS. By constructing the Lyapunov-Krasovskii functional (LKF) is derived for finite-time stability criteria of CACS with interval and continuous differential time-varying delays. We use Wirtinger-based integral inequality to evaluate the upper bound of the time derivative of the LKF. We apply the single integral form and the double integral form of the integral inequality, according to Wirtinger-based integral inequality, to ensure that the feedback controller for synchronization has good performance with disturbance and time-varying delay. The new sufficient finite-time stability conditions have appeared in the form of linear matrix inequalities (LMIs). Numerical checks can be performed using the LMI toolbox in MATLAB. A numerical example is presented to demonstrate the success of the proposed methods. This resultant is less conservative than the resultants available in the previous works. Public Library of Science 2022-04-08 /pmc/articles/PMC8993027/ /pubmed/35395050 http://dx.doi.org/10.1371/journal.pone.0266706 Text en © 2022 Chantawat, Botmart https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Chantawat, Charuwat Botmart, Thongchai Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title | Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title_full | Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title_fullStr | Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title_full_unstemmed | Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title_short | Finite-time H(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
title_sort | finite-time h(∞) synchronization control for coronary artery chaos system with input and state time-varying delays |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8993027/ https://www.ncbi.nlm.nih.gov/pubmed/35395050 http://dx.doi.org/10.1371/journal.pone.0266706 |
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