Systems & Control: Foundations & Applications

Set-Theoretic Methods in Control

Authors: Blanchini, Franco, Miani, Stefano

  • A self-contained monograph focused on the area of set-theoretic methods for control, which has recently seen a resurgence of interest
  • Several established and potentially new applications are presented
  • Includes exercises, numerical examples, and case studies
  • Numerical algorithms for the solution of the proposed problems are described in detail; some are available online in MATLAB and C++
  • Provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study
  • Contains extensive references to the literature and supplies many recipes for solving significant control problems
  • For a broad audience of graduate students, researchers, and pratitioners in applied mathematics and engineering
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4606-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-8176-3255-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding.

The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail.

Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems.

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)


Table of contents (12 chapters)

  • Introduction

    Blanchini, Franco (et al.)

    Pages 1-26

  • Lyapunov and Lyapunov-like functions

    Blanchini, Franco (et al.)

    Pages 27-72

  • Convex sets and their representation

    Blanchini, Franco (et al.)

    Pages 73-97

  • Invariant sets

    Blanchini, Franco (et al.)

    Pages 99-147

  • Dynamic programming

    Blanchini, Franco (et al.)

    Pages 149-189

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-4606-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-8176-3255-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Set-Theoretic Methods in Control
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4606-6
DOI
10.1007/978-0-8176-4606-6
Hardcover ISBN
978-0-8176-3255-7
Series ISSN
2324-9749
Edition Number
1
Number of Pages
XV, 487
Topics