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Variational Calculus, Optimal Control and Applications

International Conference in honour of L. Bittner and R. Klötzler, Trassenheide, Germany, September 23–27, 1996

  • Conference proceedings
  • © 1998

Overview

Editors:
  1. Werner H. Schmidt

    1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

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  2. Knut Heier

    1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

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  3. Leonhard Bittner

    1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

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  4. Roland Bulirsch

    1. Zentrum Mathematik, Technische Universität München, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 124)

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Table of contents (33 papers)

  1. Front Matter

    Pages I-XVIII
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  2. Existence Theory and Optimality Conditions

    1. Front Matter

      Pages 1-1
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    2. On the Convexification of Optimal Control Problems of Flight Dynamics

      • Leonhard Bittner
      Pages 3-14

    3. Restricted Optimal Transportation Flows

      • Rolf Klötzler
      Pages 15-20

    4. Relaxation Gaps in Optimal Control Processes with State Constraints

      • Sandra Butzek, Werner H. Schmidt
      Pages 21-29

    5. Optimal Shape Design for Elliptic Hemivariational Inequalities in Nonlinear Elasticity

      • Zdzislaw Denkowski, Stanislaw Migórski
      Pages 31-40

    6. A Discretization for Control Problems with Optimality Test

      • Ursula Felgenhauer
      Pages 41-52

    7. Smooth and Nonsmooth Optimal Lipschitz Control — a Model Problem

      • Manfred Goebel
      Pages 53-60

    8. Suboptimality Theorems in Optimal Control

      • Andreas Hamel
      Pages 61-68

    9. A Second Order Sufficient Condition for Optimality in Nonlinear Control — the Conjugate Point Approach

      • Andrzej Nowakowski
      Pages 69-78

    10. Extremal Problems for Elliptic Systems

      • Uldis Raitums
      Pages 79-85

    11. Existence Results for Some Nonconvex Optimization Problems Governed by Nonlinear Processes

      • Tomáš Roubíček
      Pages 87-96

    12. Multiobjective Optimal Control Problems

      • Christiane Tammer
      Pages 97-106

    13. Existence Principles and the Theory of Extremal Problems

      • Vladimir Tikhomirov
      Pages 107-118

  3. Analysis and Synthesis of Control Systems and Dynamic Programming

    1. Front Matter

      Pages 119-119
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    2. Hamilton-Jacobi-Bellman Equations and Optimal Control

      • Italo Capuzzo Dolcetta
      Pages 121-132

    3. Output Target Control and Uncertain Infinite-Dimensional Systems

      • Zbigniew Emirsajlow
      Pages 133-142

    4. Sensitivity Analysis of Stiff and Non-Stiff Initial-Value Problems

      • Martin Kiehl
      Pages 143-152

    5. Algorithm of Real-Time Minimization of Control Norm for Incompletely Determined Linear Control Systems

      • Olga Ivanovna Kostyukova
      Pages 153-162

    6. Set-valued Calculus and Dynamic Programming in Problems of Feedback Control

      • Alexander B. Kurzhanski
      Pages 163-174
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Keywords

About this book

The 12th conference on "Variational Calculus, Optimal Control and Applications" took place September 23-27, 1996, in Trassenheide on the Baltic Sea island of Use­ dom. Seventy mathematicians from ten countries participated. The preceding eleven conferences, too, were held in places of natural beauty throughout West Pomerania; the first time, in 1972, in Zinnowitz, which is in the immediate area of Trassenheide. The conferences were founded, and led ten times, by Professor Bittner (Greifswald) and Professor KlCitzler (Leipzig), who both celebrated their 65th birthdays in 1996. The 12th conference in Trassenheide, was, therefore, also dedicated to L. Bittner and R. Klotzler. Both scientists made a lasting impression on control theory in the former GDR. Originally, the conferences served to promote the exchange of research results. In the first years, most of the lectures were theoretical, but in the last few conferences practical applications have been given more attention. Besides their pioneering theoretical works, both honorees have also always dealt with applications problems. L. Bittner has, for example, examined optimal control of nuclear reactors and associated safety aspects. Since 1992 he has been working on applications in optimal control in flight dynamics. R. Klotzler recently applied his results on optimal autobahn planning to the south tangent in Leipzig. The contributions published in these proceedings reflect the trend to practical problems; starting points are often questions from flight dynamics.

Editors and Affiliations

  • Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

    Werner H. Schmidt, Knut Heier, Leonhard Bittner

  • Zentrum Mathematik, Technische Universität München, Germany

    Roland Bulirsch

Bibliographic Information

  • Book Title: Variational Calculus, Optimal Control and Applications

  • Book Subtitle: International Conference in honour of L. Bittner and R. Klötzler, Trassenheide, Germany, September 23–27, 1996

  • Editors: Werner H. Schmidt, Knut Heier, Leonhard Bittner, Roland Bulirsch

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8802-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Hardcover ISBN: 978-3-7643-5906-5Published: 24 March 1998

  • Softcover ISBN: 978-3-0348-9780-8Published: 16 October 2012

  • eBook ISBN: 978-3-0348-8802-8Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XVIII, 342

  • Topics: Analysis

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