S. Nicaise, BOUNDARY EXACT CONTROLLABILITY OF INTERFACE PROBLEMS WITH SINGULARITIES .1. ADDITION OF THE COEFFICIENTS OF SINGULARITIES, SIAM journal on control and optimization, 34(5), 1996, pp. 1512-1532
We prove the exact controllability by boundary action of hyperbolic in
terface problems with singularities. The idea is to replace the classi
cal space of controls with the space of their regular parts, which is
augmented with the coefficents of singularities. This leads to a class
ical boundary control but with an internal control, which is a distrib
ution with a support equal to the singular vertices.