We consider the problem of internal regional controllability with output constraints. It consists in steering a hyperbolic system to a final state between two prescribed functions only on a subregion of the evolution system domain. This problem is solved by characterizing the optimal control in terms of a subdifferential associated with the minimized functional.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-9,
author = {Ali Boutoulout and Layla Ezzahri and Hamid Bourray},
title = {A new approach to the constrained controllability problem},
journal = {Applicationes Mathematicae},
volume = {41},
year = {2014},
pages = {221-228},
zbl = {1304.49069},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-9}
}
Ali Boutoulout; Layla Ezzahri; Hamid Bourray. A new approach to the constrained controllability problem. Applicationes Mathematicae, Tome 41 (2014) pp. 221-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-9/