Open Problems in Mathematical Systems and Control Theory

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

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
  16. Michel Fliess, Jean Lévine, Philippe Martin, Pierre Rouchon
    Pages 99-103
  17. Minyue Fu
    Pages 105-107
  18. E. Gallestey, D. Hinrichsen, A. J. Pritchard
    Pages 109-113
  19. Christiaan Heij
    Pages 115-119
  20. J. P. Hespanha, A. S. Morse
    Pages 121-124
  21. D. Hinrichsen, A. J. Pritchard
    Pages 125-129
  22. Roberto López-Valcarce, Soura Dasgupta
    Pages 137-140
  23. Alexandre Megretski
    Pages 149-151
  24. Henk Nijmeijer
    Pages 153-156
  25. Geert Jan Olsder, Bart De Schutter
    Pages 157-162
  26. Jonathan R. Partington
    Pages 163-166
  27. Max Plus
    Pages 167-170
  28. Jan Willem Polderman
    Pages 171-176
  29. Anders Rantzer
    Pages 177-179
  30. Joachim Rosenthal, Jan C. Willems
    Pages 181-191
  31. J. M. Schumacher
    Pages 203-209
  32. Eduardo D. Sontag
    Pages 211-216
  33. Allen R. Tannenbaum
    Pages 217-220
  34. André L. Tits, V. Balakrishnan
    Pages 221-224

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

  • DOI
  • Copyright Information Springer-Verlag London 1999
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4471-1207-5
  • Online ISBN 978-1-4471-0807-8
  • Series Print ISSN 0178-5354
  • Buy this book on publisher's site
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