Controllability of a class of infinite dimensional systems with age structure

Maity D, Tucsnak M, Zuazua E (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Control and Cybernetics Polish Academy of Sciences

Book Volume: 48

Pages Range: 231-260

Journal Issue: 2

Abstract

Given a linear dynamical system, we investigate the linear infinite dimensional system obtained by grafting an age structure. Such systems appear essentially in population dynamics with age structure when phenomena like spatial diffusion or transport are also taken into consideration. We first show that the new system preservessome of the wellposedness properties of the initial one. Our main result asserts that if the initial system is null controllable in a time small enough then the structured system is also null controllable in a time depending on the various involved parameters.

Authors with CRIS profile

Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

National Center for Scientific Research / Centre national de la recherche scientifique (CNRS) FR France (FR) University of Deusto / Universidad de Deusto ES Spain (ES)

How to cite

APA:

Maity, D., Tucsnak, M., & Zuazua, E. (2019). Controllability of a class of infinite dimensional systems with age structure. Control and Cybernetics, 48(2), 231-260.

MLA:

Maity, Debayan, Marius Tucsnak, and Enrique Zuazua. "Controllability of a class of infinite dimensional systems with age structure." Control and Cybernetics 48.2 (2019): 231-260.

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