The term control theory refers to the body of results - theoretical numerical and algorithmic
- which have been developed to influence the evolution of the state of a given system in order
to meet a prescribed performance criterion. Systems of interest to control theory may be of
very different natures. This monograph is concerned with models that can be described by
partial differential equations of evolution. It contains five major contributions and is
connected to the CIME Course on Control of Partial Differential Equations that took place in
Cetraro (CS Italy) July 19 - 23 2010. Specifically it covers the stabilization of evolution
equations control of the Liouville equation control in fluid mechanics control and numerics
for the wave equation and Carleman estimates for elliptic and parabolic equations with
application to control. We are confident this work will provide an authoritative reference work
for all scientists who are interested in this field representing at the same time a friendly
introduction to and an updated account of some of the most active trends in current research.
