@inproceedings{e0923f7a9b68417c9b93edb2808493a4,
title = "Design of a vaccination law for an age-dependent epidemic model using state feedback",
abstract = "An age-dependent epidemic model is studied with the goal of designing a state feedback stabilizing vaccination law to eradicate a disease. This model consists of a set of three nonlinear partial-integro differential equations (PIDE). A salient feature of the dynamical analysis is the fact that, if the basic reproduction number is greater than one, then the disease-free equilibrium is unstable. In view of this, we provide a linearizing state feedback vaccination law that is deduced from the one obtained for the PIDE model discretisation with respect to the age. Conditions guaranteeing stability of the closed-loop system and positivity of the feedback control are obtained using Isidori's theory and semigroup theory. Numerical simulations complete the analysis.",
keywords = "(un)stability of equilibria, epidemiology, Infinite-dimensional systems, nonlinear control, partial integro-differential equations, positive systems",
author = "Candy Sonveaux and Winkin, {Joseph J.}",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.. All rights reserved.; 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022 ; Conference date: 07-09-2022 Through 09-09-2022",
year = "2022",
doi = "10.1016/j.ifacol.2022.10.378",
language = "English",
volume = "55",
series = "IFAC-PapersOnLine",
publisher = "IFAC Secretariat",
pages = "65--70",
booktitle = "Proceedings of the 4th IFAC Workshop CDDE 2022",
edition = "26",
}
