By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is…
In recent years an extensive literature was devoted to the controllability and stability of second order infinite dimensional systems coming from elasticity (see, for instance, Lions [91, 92], Komornik [73], Lasiecka-Triggiani [85], Lasiecka [81], Slemrod [120], Ammari-Tucsnak [23], Guo and his collaborators [62, 63], Komornik-Loretti [75], Coron [45], Tucsnak-Weiss [126], and references th…