© 1999

Open Problems in Mathematical Systems and Control Theory

  • Vincent Blondel
  • Eduardo D. Sontag
  • Mathukumalli Vidyasagar
  • Jan C. Willems


  • Over fifty open problems presented, explained and discussed by leading researchers in the field

  • Is designed to generate further discussion on these problems, and others that it inspires

  • System and control theory is one of the most exciting areas of contemporary engineering mathematics


Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Brian D. O. Anderson
    Pages 7-10
  3. A. C. Antoulas
    Pages 11-14
  4. Er-Wei Bai, Roberto Tempo, Yinyu Ye
    Pages 19-22
  5. Bassam Bamieh, Munther A. Dahleh
    Pages 31-33
  6. Peter L. Bartlett
    Pages 35-38
  7. Anthony M. Bloch, Naomi Ehrich Leonard, Jerrold E. Marsden
    Pages 39-44
  8. Vincent D. Blondel, John N. Tsitsiklis
    Pages 45-51
  9. R. K. Boel, G. Stremersch
    Pages 61-66
  10. Olivier Bournez, Michael Branicky
    Pages 67-69
  11. Stephen P. Boyd
    Pages 71-74
  12. Roger Brockett
    Pages 75-78
  13. Frank M. Callier, Joseph J. Winkin
    Pages 79-82
  14. F. Colonius, D. Hinrichsen, F. Wirth
    Pages 83-88
  15. Ruth F. Curtain, Olof J. Staffans
    Pages 89-93

About this book


System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area.


Petri net chemical plants control control system control theory design feedback hybrid systems neural networks nonlinear system optimal control research scaling stability stabilization

Editors and affiliations

  • Vincent Blondel
    • 1
  • Eduardo D. Sontag
    • 2
  • Mathukumalli Vidyasagar
    • 3
  • Jan C. Willems
    • 4
  1. 1.Institute of MathematicsUniversity of LeigeLiegeBelgium
  2. 2.Department of MathematicsRutgers UniversityNew BrunswickUSA
  3. 3.Centre for Arificial Intelligence and RoboticsBangaloreIndia
  4. 4.Institute of MathematicsRijksuniversiteit te GroningenAv GroningenThe Netherlands

Bibliographic information

  • Book Title Open Problems in Mathematical Systems and Control Theory
  • Editors Vincent D. Blondel
    Eduardo D. Sontag
    Mathukumalli Vidyasagar
    Jan C. Willems
  • Series Title Communications and Control Engineering
  • DOI
  • Copyright Information Springer-Verlag London 1999
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-1-85233-044-6
  • Softcover ISBN 978-1-4471-1207-5
  • eBook ISBN 978-1-4471-0807-8
  • Series ISSN 0178-5354
  • Edition Number 1
  • Number of Pages XII, 289
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Control, Robotics, Mechatronics
  • Buy this book on publisher's site
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