Control Theory in Physics and other Fields of Science: Concepts, Tools, and Applications

by Michael Schulz

Overview

This book provides an introduction to the analysis and the control mechanism of physical, chemical, biological, technological and economic models and their nonequilibrium evolution dynamics. Strong emphasis is placed on the foundation of variational principles, evolution and control equations, numerical methods, statistical concepts and techniques for solving or estimation of shastic control problems for systems with a high degree of complexity. In particular, the central aim of this book is developing a synergetic connection between theoretical concepts and real applications. This book is a modern introduction and a helpful tool for researchers as well as for graduate students interested in econophysics and related topics.

Product Details

ISBN-13:	9783540295143
Publisher:	Springer Berlin Heidelberg
Publication date:	01/13/2006
Series:	Springer Tracts in Modern Physics , #215
Edition description:	2006
Pages:	296
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Introduction.- Deterministic Control Theory.- Linear Quadratic Problems.- Control of Fields.- Chaos Control.- Non-Equilibrium Statistical Physics.- Optimal Control of Shastic Processes.- Filters and Predictors.- Game Theory.- Optimization Problems.

Editorial Reviews

From the reviews:

"The monograph under review introduces control-theoretic issues which arise in, primarily, physics-related areas. The texts is, in fact, addressed to the physics community, and this is manifested in several ways. First, the style of presentation … . Secondly, the terminology … . Content-wise the monograph offers a variety of topics, more diverse … collected according to their physical context. … All in all, a reader … will find here a variety of issues, lively explanations and useful references to the literature." (Zvi Artstein, Mathematical Reviews, Issue 2007 c)

“It is a text-book on control theory and applications mainly devoted to graduate students of physics, engineering, sciences and economics. The aim is to present the most useful theoretical concepts and techniques for understanding the ideas of control theory for physical systems. … The subject is very well presented also from the historical point of view and many different interesting applications field are proposed. … A reach list of references … and an useful analytic index are given.” (Anna Salvadori, Zentralblatt MATH, Vol. 1206, 2011)

From the Publisher