Set-Theoretic Methods in Control

by Franco Blanchini, Stefano Miani

Overview

This monograph describes basic set-theoretic methods for control. The work presents several established and potentially new applications, along with numerical examples and case studies. The book supplies many recipes for solving significant problems.

Product Details

ISBN-13:	9780817632557
Publisher:	Birkhäuser Boston
Publication date:	11/15/2007
Series:	Systems & Control: Foundations & Applications
Edition description:	2008
Pages:	487
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

About the Author

Francio Blanchini is a Professor in the Department of Mathematics and Computer Science at the University of Udine, Italy.

Stefano Miani is an Associate Professor in the Department of Electrical, Management, and Mechanical Engineering at the University of Udine, Italy.

Table of Contents

Lyapunov and Lyapunov-like functions.- Convex sets and their representation.- Invariant sets.- Dynamic programming.- Set-theoretic analysis of dynamic systems.- Control of parameter-varying systems.- Control with time-domain constraints.- (Sub-)Optimal control.- Set-theoretic estimation.- Related topics.

Editorial Reviews

From the reviews:

"The book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...At the conceptual level, the book was meant as a self contained volume for readers with the usual background in systems and control. The text is very accessible (the style is attractive; the theoretical concepts and results are accompanied by relevant examples so as to facilitate the deep understanding of the discussed topics; both analytical and numerical approaches are presented; the final section of each chapter includes exercises). The book is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." [Octavian Pastravanu, Zentralblatt MATH]

"This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." (B. T. Polyak, Mathematical Reviews, Issue 2009 f)

From the Publisher