V. Komornik, RAPID STABILIZATION OF LINEAR EVOLUTIONAR Y PROBLEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(5), 1995, pp. 581-586
We prove that, under very general assumptions, an exactly controllable
problem is also uniformly stabilizable. Moreover, we construct explic
it feedbacks ensuring arbitrarily large decay rates.