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Optimal Control from Theory to Computer Programs

  • Book
  • © 2003

Overview

Authors:
  1. Viorel Arnăutu

    1. University “Al I. Cuza” Iaşi, Romania

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  2. Pekka Neittaanmäki

    1. University of Jyväskylä, Jyväskylä, Finland

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 111)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
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  2. Selected Topics from Functional and Convex Analysis

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 1-22

  3. Optimization Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 23-46

  4. Numerical Approximation of Elliptic Variational Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 47-108

  5. Indirect Methods for Optimal Control Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 109-162

  6. A Control Problem for a Class of Epidemics

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 163-184

  7. Optimal Control for Plate Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 185-212

  8. Direct Numerical Methods for Optimal Control Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 213-267

  9. Stochastic Control Problems

    • Viorel Arnăutu, Pekka Neittaanmäki
    Pages 269-313

  10. Back Matter

    Pages 315-330
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Keywords

About this book

The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones.
The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.

Reviews

From the reviews:

"This text provides a comprehensive introduction to several techniques for the numerical computation of control problems governed by (mainly elliptic) partial differential equations (PDE). … The pseudo-code is clear and well documented … . This book is most suited for graduate students in applied mathematics, numerical analysis or control engineering." (Andrew C. Eberhard, Zentralblatt MATH, Vol. 1056 (7), 2005)

Authors and Affiliations

  • University “Al I. Cuza” Iaşi, Romania

    Viorel Arnăutu

  • University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

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