title: Regional flux target with minimum energy
abstract: An extension of a gradient controllability problem to the case where the target subregion is a part of the boundary of a parabolic system domain is discussed. A definition and some properties adapted to this case are presented. The focus is on the characterisation of the control achieving a regional boundary gradient target with minimum energy. An approach is developed that leads to a numerical algorithm for the computation of optimal control. Numerical illustrations show the efficiency of the approach and lead to conjectures
keyphrases: regional flux target minimum energy gradient controllability problem target subregion regional boundary gradient target numerical algorithm optimal control parabolic system domain boundary