Advances in Differential Equations and Control Processes
Volume 10, Issue 2, Pages 113 - 130
(November 2012)
|
|
NULL CONTROLLABILITY WITH CONSTRAINTS ON THE STATE FOR THE AGE-DEPENDENT LINEAR POPULATION DYNAMICS PROBLEM
Sawadogo Somdouda and Gisèle M. Mophou
|
Abstract: 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. |
Keywords and phrases: population dynamics, controllability, Carleman’s inequality. |
|
Number of Downloads: 323 | Number of Views: 967 |
|