Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

  • Harry Dym
  • Mauricio C. de Oliveira
  • Mihai Putinar

Part of the Operator Theory: Advances and Applications book series (OT, volume 222)

Table of contents

  1. Front Matter
    Pages i-x
  2. Biographical and Personal Notes

    1. Front Matter
      Pages 1-1
    2. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 3-12
    3. Miroslav Krstic
      Pages 13-15
    4. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 17-21
    5. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 23-28
    6. Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 29-30
  3. Technical Papers

    1. Front Matter
      Pages 31-31
    2. Ronald G. Douglas, Jörg Eschmeier
      Pages 113-128
    3. A. E. Frazho, S. ter Horst, M. A. Kaashoek
      Pages 151-172
    4. P. A. Fuhrmann, U. Helmke
      Pages 173-187
    5. Martin Harrison
      Pages 189-194
    6. J. William Helton, Igor Klep, Scott McCullough
      Pages 195-219
    7. Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant
      Pages 259-277
    8. L. Rodman, H. J. Woerdeman
      Pages 279-293
    9. Mir Shahrouz Takyar, Tryphon T. Georgiou
      Pages 295-309
    10. Emmanuel Tannenbaum, Tryphon Georgiou, Allen Tannenbaum
      Pages 311-324
    11. N. J. Young
      Pages 351-368

About this book


This volume is dedicated to Bill Helton on the occasion of his sixty-fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control, and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty-odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization.

The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied  mathematics and engineering, and as a source book for seminars.


interpolation theory non-commutative geometry operator theory optimization systems and control

Editors and affiliations

  • Harry Dym
    • 1
  • Mauricio C. de Oliveira
    • 2
  • Mihai Putinar
    • 3
  1. 1.Dept. MathematicsWeizmann Institute of ScienceRehovotIsrael
  2. 2., Department of Mechanical andUniversity of California San DiegoLa JollaUSA
  3. 3.College of Letters & Science, Dept. MathematicsUniversity of California, Santa BarbaraSanta BarbaraUSA

Bibliographic information