Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control

This paper investigates the problem of rapid exponential stabilization for linear Lotka-McKendrick's equation. Based on a new event-triggered impulsive control (ETIC) method, an impulsive control is designed to solve the rapid exponential stabilization of the dynamic population Lotka-McKendrick...

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Autores principales:	Mohsen Dlala, Sharifah Obaid Alrashidi
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	lotka-mckendrick's equation exponential stabilization impulsive control event-triggered control Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/46d7f7821a574a5eb6626eaca39654b7
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id	oai:doaj.org-article:46d7f7821a574a5eb6626eaca39654b7
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spelling	oai:doaj.org-article:46d7f7821a574a5eb6626eaca39654b72021-11-29T03:05:44ZRapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control10.3934/mbe.20214491551-0018https://doaj.org/article/46d7f7821a574a5eb6626eaca39654b72021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021449?viewType=HTMLhttps://doaj.org/toc/1551-0018This paper investigates the problem of rapid exponential stabilization for linear Lotka-McKendrick's equation. Based on a new event-triggered impulsive control (ETIC) method, an impulsive control is designed to solve the rapid exponential stabilization of the dynamic population Lotka-McKendrick's equation. The effectiveness of our control is verified through a numerical example.Mohsen DlalaSharifah Obaid AlrashidiAIMS Pressarticlelotka-mckendrick's equationexponential stabilizationimpulsive controlevent-triggered controlBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9121-9131 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	lotka-mckendrick's equation exponential stabilization impulsive control event-triggered control Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	lotka-mckendrick's equation exponential stabilization impulsive control event-triggered control Biotechnology TP248.13-248.65 Mathematics QA1-939 Mohsen Dlala Sharifah Obaid Alrashidi Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
description	This paper investigates the problem of rapid exponential stabilization for linear Lotka-McKendrick's equation. Based on a new event-triggered impulsive control (ETIC) method, an impulsive control is designed to solve the rapid exponential stabilization of the dynamic population Lotka-McKendrick's equation. The effectiveness of our control is verified through a numerical example.
format	article
author	Mohsen Dlala Sharifah Obaid Alrashidi
author_facet	Mohsen Dlala Sharifah Obaid Alrashidi
author_sort	Mohsen Dlala
title	Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
title_short	Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
title_full	Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
title_fullStr	Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
title_full_unstemmed	Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control
title_sort	rapid exponential stabilization of lotka-mckendrick's equation via event-triggered impulsive control
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/46d7f7821a574a5eb6626eaca39654b7
work_keys_str_mv	AT mohsendlala rapidexponentialstabilizationoflotkamckendricksequationviaeventtriggeredimpulsivecontrol AT sharifahobaidalrashidi rapidexponentialstabilizationoflotkamckendricksequationviaeventtriggeredimpulsivecontrol
_version_	1718407640068915200

Rapid exponential stabilization of Lotka-McKendrick's equation via event-triggered impulsive control

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