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DGOR Papers of the Annual Meeting 1973 / Vorträge der Jahrestagung 1973 pp 309–318Cite as

Konstruktive Anwendung von verallgemeinerten Lagrange-Multiplikatoren auf nichtlineare Kontrollprobleme

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Part of the book series: Proceedings in Operations Research ((ORP,volume 1973))

Summary

The paper presents a method for the solution of nonlinear optimal control problems including state constraints. An optimal piecewise continuous control function is computed iteratively by approximation in the decision space. Control functions and the initial state vector of corresponding trajectories may be restricted to prescribed subsets by inequality constraints. The algorithm is numerically applicable and tested.

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Literatur

  1. FEILMEIER, M./GESSNER, P. /WACKER, H.J.: Lineare Kontrollprobleme, Unternehmensforschung 14 (1970) 4 S. 263 - 273

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  2. GESSNER, P.: Mehrdimensionale Entscheidungsmodelle ZAMM 50 (1970) 6/7

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  3. GESSNER, P./SPREMANN, K.: Optimierung in Funktionenräumen Lecture Notes in Economics and Mathematical Systems Vol.64,1972

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  4. GESSNER, P./WACKER, H.J.: Dynamische Optimierung C. Hanser Verlag, München 1972

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  5. GÖTZ, E.: Nichtlineare dynamische Systeme mit Zustandsbe- schränkungen Interner Bericht, TU München 1973 (wird demnächst veröffentl.)

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  6. LJUSTERNIK, L.A./SOBOLEW, W.I.: Elemente der Punktionalana- lysis Akademie - Verlag, Berlin 1968

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  7. LUENBERGER, D.G.: Optimization by Vector Space Methods Wiley, New York 1969

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Author information

Authors and Affiliations

  1. München, Deutschland

    E. Götz

Authors
  1. E. Götz
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Editor information

P. Gessner R. Henn V. Steinecke H. Todt

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© 1974 Physica-Verlag, Rudolf Liebing KG, Würzburg

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Cite this paper

Götz, E. (1974). Konstruktive Anwendung von verallgemeinerten Lagrange-Multiplikatoren auf nichtlineare Kontrollprobleme. In: Gessner, P., Henn, R., Steinecke, V., Todt, H. (eds) DGOR Papers of the Annual Meeting 1973 / Vorträge der Jahrestagung 1973. Proceedings in Operations Research, vol 1973. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-99747-1_33

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  • DOI: https://doi.org/10.1007/978-3-642-99747-1_33

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0138-5

  • Online ISBN: 978-3-642-99747-1

  • eBook Packages: Springer Book Archive

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