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Applications of a general duality conception in optimal control

  • Rolf Klötzler
Optimal Control: Ordinary And Delay Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)

Keywords

Dual Problem Duality Theorem Strong Duality General Duality Duality Principle 
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References

  1. [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. [2]
    F. L. Černousko, M. W. Baničuk, Variational problems in mechanics and control (in Russian), Moscow 1973.Google Scholar
  3. [3]
    P. Funk, Variationsrechnung und ihre Anwendung in Physik und Technik, Berlin-Göttingen-Heidelberg 1962.Google Scholar
  4. [4]
    A. D. Joffe, W. M. Tichomirov, Theory of optimal problems (in Russ.), Moscow 1974.Google Scholar
  5. [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. [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. [7]
    R. Klötzler, Starke Dualität in der Steuerungstheorie, Math. Machr. (to appear).Google Scholar
  8. [8]
    W. F. Krotov, W. I. Gurman, Methods and problems of optimal control (in Russian), Moscow 1973.Google Scholar
  9. [9]
    C. P. Ortlieb, Dualität bei nichtkonvexen Steuerungsproblemen, Preprint 78/17 der Universität Hamburg, Institut f. Angew. Math..Google Scholar
  10. [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

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Rolf Klötzler
    • 1
  1. 1.Karl-Marx-University LeipzigLeipzigGDR

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