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Optimal Control

Calculus of Variations, Optimal Control Theory and Numerical Methods

  • Book
  • © 1993

Overview

Editors:
  1. R. Bulirsch

    1. Mathematisches Institut, TH München, München 2, Germany

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  2. A. Miele

    1. Dept. of Mechanical Engineering and Materials Science, Houston, USA

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  3. J. Stoer

    1. Mathematik u. Statistik, Inst. f. Angewandte, Würzburg, Germany

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  4. K. Well

    1. Inst. f. Flugmechanik u. Flugregelung, Universität Stuttgart, Stuttgart, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 111)

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Table of contents (25 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Optimality Conditions and Algorithms

    1. Front Matter

      Pages 1-1
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    2. Tent Method in Optimal Control Theory

      • Vladimir G. Boltyanski
      Pages 3-20

    3. Pontryagin’s Maximum Principle for Multidimensional Control Problems

      • Rolf Klötzler, Sabine Pickenhain
      Pages 21-30

    4. An Algorithm for Abstract Optimal Control Problems Using Maximum Principles and Applications to a Class of Distributed Parameter Systems

      • Hans Benker, Michael Handschug
      Pages 31-42

    5. Convexification of Control Problems in Evolution Equations

      • Winfried Kampowsky, Uldis Raitums
      Pages 43-56

    6. Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems

      • Fredi Tröltzsch
      Pages 57-68

    7. Iterative Methods for Optimal Control Processes governed by Integral Equations

      • Werner H. Schmidt
      Pages 69-82

    8. Solving Equations — a Problem of Optimal Control

      • Leonhard Bittner
      Pages 83-97

    9. On the Minimax Optimal Control Problem and Its Variations

      • Ping Lu, Nguyen X. Vinh
      Pages 99-112

  4. Analysis and Synthesis of Nonlinear Systems

    1. Front Matter

      Pages 161-161
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    2. Decomposition and Feedback Control of Nonlinear Dynamic Systems

      • Felix L. Chernousko
      Pages 163-171

    3. A Discrete Stabilizing Study Strategy for a Student Related Problem under Uncertainty

      • George Leitmann, Cho Seng Lee
      Pages 173-185

    4. Stability Conditions in Terms of Eigenvalues of a Nonlinear Optimal Controlled System

      • Houria Bourdache-Siguerdidjane
      Pages 187-194

    5. Program-positional Optimization for Dynamic Systems

      • R. Gabasov, F. M. Kirillova, N. V. Balashevich
      Pages 195-205

    6. Synthesis of Bilinear Controlled Systems with Delay

      • Vladimir Kolmanovskii, Natalia Koroleva
      Pages 207-219
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Keywords

About this book

"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.

Editors and Affiliations

  • Mathematisches Institut, TH München, München 2, Germany

    R. Bulirsch

  • Dept. of Mechanical Engineering and Materials Science, Houston, USA

    A. Miele

  • Mathematik u. Statistik, Inst. f. Angewandte, Würzburg, Germany

    J. Stoer

  • Inst. f. Flugmechanik u. Flugregelung, Universität Stuttgart, Stuttgart, Germany

    K. Well

Bibliographic Information

  • Book Title: Optimal Control

  • Book Subtitle: Calculus of Variations, Optimal Control Theory and Numerical Methods

  • Editors: R. Bulirsch, A. Miele, J. Stoer, K. Well

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7539-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1993

  • Softcover ISBN: 978-3-0348-7541-7Published: 03 October 2013

  • eBook ISBN: 978-3-0348-7539-4Published: 08 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XIII, 350

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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