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Mathematical Methods in Systems, Optimization, and Control: Festschrift in Honor of J. William Helton 2012 ed. [Kietas viršelis]

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  • Formatas: Hardback, 370 pages, aukštis x plotis: 235x155 mm, weight: 735 g, X, 370 p., 1 Hardback
  • Serija: Operator Theory: Advances and Applications 222
  • Išleidimo metai: 24-Jul-2012
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3034804105
  • ISBN-13: 9783034804103
  • Formatas: Hardback, 370 pages, aukštis x plotis: 235x155 mm, weight: 735 g, X, 370 p., 1 Hardback
  • Serija: Operator Theory: Advances and Applications 222
  • Išleidimo metai: 24-Jul-2012
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3034804105
  • ISBN-13: 9783034804103

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, as well as a source book for seminars.

Recenzijos

From the reviews:

A good starting point to learn about Heltons influential work at the edge of Operator theory and systems engineering. Many of the main topics in this area are covered by the 19 contributions, all written by the main players in the field. brought in the form of a tutorial, a survey, or even a shorter note, but all very readable and up-to-date. it can be safely recommended to specialists and to students at an advanced mathematics or engineering level as well. (A. Bultheel, The European Mathematical Society, September, 2012)

Part I Biographical and Personal Notes
Helton's Bibliography
3(10)
Personal Notes
13(4)
After Dinner Biographical Notes
17(6)
Bill's Early Work
23(6)
List of Contributors
29(4)
Part II Technical Papers
The Caratheodory-Julia Theorem and the Network Realization Formula in Two Variables
33(10)
J. Agler
Nevanlinna-Pick Interpolation via Graph Spaces and Krein-space Geometry: A Survey
43(30)
J.A. Ball
Q. Fang
A Brief History of the Strong Szego Limit Theorem
73(12)
E. Basor
Riccati or Square Root Equation? The Semi-separable Case
85(28)
P. Dewilde
Spectral Inclusion Theorems
113(16)
R. G. Douglas
J. Eschmeier
Tutorial on a Nehari Problem and Related Reproducing Kernel Spaces
129(22)
H. Dym
Optimal Solutions to Matrix-valued Nehari Problems and Related Limit Theorems
151(22)
A.E. Frazho
S. ter Horst
M.A. Kaashoek
On Theorems of Halmos and Roth
173(16)
P.A. Fuhrmann
U. Helmke
Pfister's Theorem Fails in the Free Case
189(6)
M. Harrison
Free Analysis, Convexity and LMI Domains
195(26)
J. W. Helton
I. Klep
S. McCullough
Traces of Commutators of Integral Operators - the Aftermath
221(12)
R. Howe
Information States in Control Theory: From Classical to Quantum
233(14)
M.R. James
Convex Hulls of Quadratically Parameterized Sets With Quadratic Constraints
247(12)
J. Nie
Computing Linear Matrix Representations of Helton-Vinnikov Curves
259(20)
D. Plaumann
B. Sturmfels
C. Vinzant
Positive Completion Problems Over C*-algebras
279(16)
L. Rodman
H.J. Woerdeman
Fractional-order Systems and the Internal Model Principle
295(16)
M.S. Takyar
T.T. Georgiou
Optimal Mass Transport for Problems in Control, Statistical Estimation, and Image Analysis
311(14)
E. Tannenbaum
T. Georgiou
A. Tannenbaum
LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future
325(26)
V. Vinnikov
Some Analysable Instances of μ-synthesis
351
N.J. Young