A new approach to the constrained controllability problem
Volume 41 / 2014
Applicationes Mathematicae 41 (2014), 221-228
MSC: Primary 49N05; Secondary 93B05.
DOI: 10.4064/am41-2-9
Abstract
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.