Olivier Glass (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We prove the exact boundary controllability of the 3-D Euler equation of incompressible inviscid fluids on a regular connected bounded open set when the control operates on an open part of the boundary that meets any of the connected components of the boundary.
Ali Boutoulout, Layla Ezzahri, Hamid Bourray (2014)
Applicationes Mathematicae
Similarity:
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.
Olivier Glass (2007)
Journal of the European Mathematical Society
Similarity:
We study the controllability problem for the one-dimensional Euler isentropic system, both in Eulerian and Lagrangian coordinates, by means of boundary controls, in the context of weak entropy solutions. We give a sufficient condition on the initial and final states under which the first one can be steered to the latter.
Sergei Avdonin, Marius Tucsnak (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study the simultaneously reachable subspace for two strings controlled from a common endpoint. We give necessary and sufficient conditions for simultaneous spectral and approximate controllability. Moreover we prove the lack of simultaneous exact controllability and we study the space of simultaneously reachable states as a function of the position of the joint. For each type of controllability result we give the sharp controllability time.