Analysis and Geometry in Control Theory and its Applications

by Piernicola Bettiol (Editor), Piermarco Cannarsa (Editor), Giovanni Colombo (Editor), Monica Motta (Editor), Franco Rampazzo (Editor)
Combines geometrical and analytical approaches to Control Theory and its Applications
Provides the state of the art of the research in the area of Control Theory
Contains high quality papers written by top level experts in the area of Control Theory

From the Back Cover
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.

Number of Illustrations and Tables
15 illus., 16 in colour

Topics
Calculus of Variations and Optimal Control; Optimization
Systems Theory, Control
Analysis
Applications of Mathematics
Control