Controllability of a Class of Infinite Dimensional Systems With Age Structure.
Language
en
Article de revue
This item was published in
Control and Cybernetics. 2020
Polish Academy of Sciences
Date
2020English 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 ...Read more >
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.Read less <
English Keywords
Infinite dimensional linear system
age structure
admissible control operator
null controllability
population dynamics
null controlla- bility
population dynamics AMS subject classifications 93B03
93B05
92D25
Origin
Hal imported