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 applied to systems where a delay term is added. The book
concludes with many concrete examples. This book is addressed to graduate students in
mathematics or engineering and also to researchers with an interest in stabilization and
control systems governed by partial differential equations.
