NULL CONTROLLABILITY WITH CONSTRAINTS ON THE STATE FOR THE AGE-DEPENDENT LINEAR POPULATION DYNAMICS PROBLEM
Weconsideranullcontrollabilityproblemforthe linear age-dependent population dynamics problem with finite number of constraints on the state.Interpretingeachconstraintbymeansofadjointstatenotion leads to a null controllability problem with constraint on the control. Using inequalities of observability adapted to the constraints which derive from the inequality of Carleman, we solve the equivalent problem.
population dynamics, controllability, Carleman’s inequality.