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Controllability of a class of infinite dimensional systems with age structure

Maity Debayan, Tucsnak Marius, Zuazua Enrique

Control and Cybernetics

2019

Vol. 48, No. 2

231--260

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 then the structured system is also null controllable in a time depending on the various involved parameters.