Boundary Constrained Controllability for Hyperbolic Systems

The purpose of this work is to extend the concept of regional controllability to the case where the desired state is between two prescribed profiles, only on a boundary subregion G of the system evolution domain W . We’ll characterize the minimum energy control that satisfied the out put constraints and which is limitedmainly to systems described by hyperbolic partial differential equations. This problem is solved using Lagrangian approach and the obtained results are illustrated numerically