Skip to main content
SpringerLink
Log in

Ein Approximationssatz und seine Anwendung in der Kontrolltheorie

  • Conference paper
  • First Online:
Optimization and Optimal Control

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 477))

  • 502 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  • BOSARGE, Jr., W.E., O.G. JOHNSON [1971]: Error bounds of high order accuracy for the state regulator problem via piecewise polynomial approximations. SIAM J. Control 9(1971) 15–28.

    Article  MathSciNet  MATH  Google Scholar 

  • BUDAK, B.M., E.M. BERKOVICH, E.N. SOLOV'EVA [1969]: Difference Approximations in optimal control problems. SIAM J. Control 7(1969) 18–31.

    Article  MathSciNet  Google Scholar 

  • CULLUM, J. [1969]: Discrete approximations to continuous optimal control problems. SIAM J. Control 7(1969) 32–49.

    Article  MathSciNet  MATH  Google Scholar 

  • EHLICH, H., K. ZELLER [1964]: Schwankung von Polynomen zwischen Gitterpunkten. Math. Z. 86(1964) 41–44.

    Article  MathSciNet  MATH  Google Scholar 

  • ESSER, H. [1973]: Zur Diskretisierung von Extremalproblemen. In R. Ansorge, W. Törnig: Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Berlin, u.a., 1973.

    Google Scholar 

  • HOFFMANN, K.-H., E. JÖRN, E. SCHÄFER, H. WEBER [1974]: Differenzenverfahren zur Behandlung von Kontrollproblemen. Eingereicht: Numerische Mathematik.

    Google Scholar 

  • KRABS, W. [1973]: Stabilität und Stetigkeit bei nichtlinearer Optimierung. In: Methoden des Operation Research XVII Herausgeber R.Henn, 1973.

    Google Scholar 

  • RIESZ, M. [1914]: Eine trigonometrische Interpolationsformel und einige Ungleichungen für Polynome. J.-ber. Deutsch. Math.-Verein 23(1914) 354–368.

    MATH  Google Scholar 

  • ROCKAFELLAR, R.T. [1973]: The multiplier method of Hestenes and Powell applied to convex programming. J. Optimization Theory Appl. 12(1973) 555–562.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität MÜnchen, Theresienstraße 39, 8 München 2

    K. -H. Hoffmann, E. Jörn, E. Schäfer & H. Weber

Authors
  1. K. -H. Hoffmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Jörn
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Schäfer
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H. Weber
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Technischen Universität München, 8 München, Postfach 202420, BRD

    Roland Bulirsch

  2. Fakultät für Mathematik und Informatik, Universität Mannheim, 68 Mannheim, Schloß, BRD

    Werner Oettli

  3. Institut für Angewandte Mathematik und Statistik der Universität Würzburg, 87 Würzburg, Am Hubland, BRD

    Josef Stoer

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Hoffmann, K.H., Jörn, E., Schäfer, E., Weber, H. (1975). Ein Approximationssatz und seine Anwendung in der Kontrolltheorie. In: Bulirsch, R., Oettli, W., Stoer, J. (eds) Optimization and Optimal Control. Lecture Notes in Mathematics, vol 477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079174

Download citation

  • DOI: https://doi.org/10.1007/BFb0079174

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07393-2

  • Online ISBN: 978-3-540-37591-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation