Skip to main content

Applications of a general duality conception in optimal control

  • Optimal Control: Ordinary And Delay Differential Equations
  • Conference paper
  • First Online:
Book cover Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

  • 191 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Cesari, Optimization with partial differential equations in Dieudonné-Rashevsky form and conjugate problems, Arch. Rat. Mech. Anal. 33, 339–357 (1969).

    Google Scholar 

  2. F. L. Černousko, M. W. Baničuk, Variational problems in mechanics and control (in Russian), Moscow 1973.

    Google Scholar 

  3. P. Funk, Variationsrechnung und ihre Anwendung in Physik und Technik, Berlin-Göttingen-Heidelberg 1962.

    Google Scholar 

  4. A. D. Joffe, W. M. Tichomirov, Theory of optimal problems (in Russ.), Moscow 1974.

    Google Scholar 

  5. R. Klötzler, A generalization of the duality in optimal control and some numerical conclusions, Proceedings of the 8th IFIP Conference on Optimization Techniques p. 1, 313–320 (1977).

    Google Scholar 

  6. R. Klötzler, Apriori-Abschätzungen von Optimalwerten zu Steuerungs-problemen I, II; I Math. Operationsforsch.u.Statistik Ser. Optimization 10, 101–110 (1979), II Math. Operationsforsch.u.Statistik Ser.Optimization (to appear).

    Google Scholar 

  7. R. Klötzler, Starke Dualität in der Steuerungstheorie, Math. Machr. (to appear).

    Google Scholar 

  8. W. F. Krotov, W. I. Gurman, Methods and problems of optimal control (in Russian), Moscow 1973.

    Google Scholar 

  9. C. P. Ortlieb, Dualität bei nichtkonvexen Steuerungsproblemen, Preprint 78/17 der Universität Hamburg, Institut f. Angew. Math..

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. Iracki K. Malanowski S. Walukiewicz

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Klötzler, R. (1980). Applications of a general duality conception in optimal control. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036407

Download citation

  • DOI: https://doi.org/10.1007/BFb0036407

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics