Set-Theoretic Methods in Control

  • Franco Blanchini
  • Stefano Miani

Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Franco Blanchini, Stefano Miani
    Pages 1-26
  3. Franco Blanchini, Stefano Miani
    Pages 27-91
  4. Franco Blanchini, Stefano Miani
    Pages 93-119
  5. Franco Blanchini, Stefano Miani
    Pages 121-191
  6. Franco Blanchini, Stefano Miani
    Pages 193-234
  7. Franco Blanchini, Stefano Miani
    Pages 235-287
  8. Franco Blanchini, Stefano Miani
    Pages 289-335
  9. Franco Blanchini, Stefano Miani
    Pages 337-404
  10. Franco Blanchini, Stefano Miani
    Pages 405-466
  11. Franco Blanchini, Stefano Miani
    Pages 467-525
  12. Franco Blanchini, Stefano Miani
    Pages 527-551
  13. Franco Blanchini, Stefano Miani
    Pages 553-596
  14. Back Matter
    Pages 597-630

About this book


The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint.  This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis.  Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study.

All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added.  Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems.

Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics.  It is also well-suited as a textbook for graduate students in these areas.

Praise for the First Edition

"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

"This 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...[It] 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


Feedback Control Invariant Sets Lyapunov Methods Robust Control Switching Systems

Authors and affiliations

  • Franco Blanchini
    • 1
  • Stefano Miani
    • 2
  1. 1.Mathematics and Computer ScienceUniversity of UdineUdineItaly
  2. 2.Electrical, Management and Mechanical EnUniversity of UdineUdineItaly

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-17932-2
  • Online ISBN 978-3-319-17933-9
  • Series Print ISSN 2324-9749
  • Series Online ISSN 2324-9757
  • Buy this book on publisher's site