Controllability of a Class of Infinite Dimensional Systems With Age Structure. - Archive ouverte HAL Access content directly
Journal Articles Control and Cybernetics Year : 2020

Controllability of a Class of Infinite Dimensional Systems With Age Structure.

Debayan Maity
Marius Tucsnak

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 preserves some 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 than the structured system is also null controllable in a time depending on the various involved parameters.
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Dates and versions

hal-01964612 , version 1 (22-12-2018)
hal-01964612 , version 2 (04-09-2019)

Identifiers

  • HAL Id : hal-01964612 , version 2

Cite

Debayan Maity, Marius Tucsnak, Enrique Zuazua. Controllability of a Class of Infinite Dimensional Systems With Age Structure.. Control and Cybernetics, In press. ⟨hal-01964612v2⟩
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