Skip to main content
SpringerLink
Log in
Book cover

Optimization Techniques Part 1 pp 313–320Cite as

A generalization of the duality in optimal control and some numerical conclusions

  • Optimal Control Of Partial Differential Equations
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 6))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Ekeland,R. Temam, Analyse convexe et problèmes variationnels, Gauthier-Villars, Paris 1974.

    Google Scholar 

  2. K.Friedrichs, Ein Verfahren der Variationsrechnung das Minimum eines Integrals als das Maximum eines anderen Ausdrucks darzustellen, Göttinger Nachr. 1929, 13–20.

    Google Scholar 

  3. A.D. Joffe,W.M. Tichomirov, Theory of optimal problems, (Russian) Nauka, Moscow 1974.

    Google Scholar 

  4. R.Klötzler, Einige neue Aspekte zur Bellmanschen Differentialgleichung, Proceedings of the All-ünion Symposium on Optimal Control and Differential Games,(Russian),Tbilisi 1976, 146–154.

    Google Scholar 

  5. R.Klötzler, Weiterentwicklungen der Hamilton-Jacobischen Theoree, Sitzungsberichte d.Akad.d.Wiss.d.DDR (to appear).

    Google Scholar 

  6. R.Klötzler, On a general conception of duality in optimal control, Proceedings of the conference EQUADIFF 4, Prague 1977 (to appear).

    Google Scholar 

  7. H. Rademacher, Über partielle und totale Differenzierbarkeit von Funktionen mehrerer Variablen und über die Transformation der Doppelintegrale, Math.Ann. 79 (1918),340–359.

    Google Scholar 

  8. R.T. Rockafellar, Conjugate convex functions in optimal control and the calculus of variations, Journ.Math.Anal.Appl. 32 (1970),174–222.

    Google Scholar 

  9. M.M. Zwetanov, On duality in problems of the calculus of variations, (Russian) Comptes Rendus de l'Acad.Bulg.Sci. 21 (1968),733–736.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karl-Marx-University, Sektion Mathematik, Leipzig, GDR

    R. Klötzler

Authors
  1. R. Klötzler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Stoer

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Klötzler, R. (1978). A generalization of the duality in optimal control and some numerical conclusions. In: Stoer, J. (eds) Optimization Techniques Part 1. Lecture Notes in Control and Information Sciences, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007248

Download citation

  • DOI: https://doi.org/10.1007/BFb0007248

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08707-6

  • Online ISBN: 978-3-540-35891-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation