Introduction

Abstract

In the mathematical models associated with controlled distributed parameter systems evolving in bounded domains two types of controls – boundary and internal locally distributed – are typically used. These controls enter the model as additive terms (having in mind that the boundary controls can be modeled by making use of suitable additive Dirac’s functions) and have localized support. The latter is either a part of the boundary or a set within the system’s space domain. Such control can, for example, be a source in a heat/mass-transfer process or a piezoceramic actuator placed on a beam. Publications in this area are so numerous that it is simply impossible to mention them all here – allow us just to refer the reader to our very limited bibliography below, associated mostly with the immediate content of this monograph and to the references therein.