Publisher's Synopsis
This book is concerned with the analysis of the structure of sensors and controls for systems described by partial differential equations. It introduces notions of controllability, observability, stability and detectability; and shows how, if these properties can be achieved by suitable placement and/or shaping, the sensors and controls can be said to be strategic.;The authors emphasize how system properties may change with the positioning and shaping of the controls and sensors, in contrast to previous texts which have developed a systems theory for distributed systems. They adopt an approach via semigroups, being natural for infinite dimensional systems, extending various notions and results from finite dimensional theory.;This approach results in the isolation of a number of notions which require delicate manipulations, a mathematical style which permits consideration of problems in a rigorous fashion, giving results for cases of practical interest. In particular, the proofs of results which are either constructive or original are presented.
