Insensitizing control with constraints on the control of the semi-linear Heat equation for a more general cost functional
Y. Simpore
Laboratoire LAMI, Universite Ouaga 1, BP 7021 Ouaga 01,
O. Traore
Laboratoire LAMI, Département de Mathématiques de la Décision, Université Ouaga 2, BP 417
Received on June 8, 2016
Accepted on July 7, 2016
Communicated by Gisèle M. Mophou
| Abstract. We consider the problem of insensitizing control when the control is subject to afinite number of linear constraints with a non standard cost. We prove the existence of such control by solving a problem of null controllability with constraints on the control. The key of our results is an observability adapted to the constraints. | |
| Keywords: | Orthogonality, orthogonal projection, insensitizing control, semilinear Heat equation, observability inequality, Schauder fixed point. |
| 2010 Mathematics Subject Classification: 35K05, 35K55, 49J20, 93B05. | |