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Konstruktive Anwendung von verallgemeinerten Lagrange-Multiplikatoren auf nichtlineare Kontrollprobleme

Conference paper
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Part of the Proceedings in Operations Research book series (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

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    FEILMEIER, M./GESSNER, P. /WACKER, H.J.: Lineare Kontrollprobleme, Unternehmensforschung 14 (1970) 4 S. 263 - 273CrossRefGoogle Scholar
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    GESSNER, P./SPREMANN, K.: Optimierung in Funktionenräumen Lecture Notes in Economics and Mathematical Systems Vol.64,1972Google Scholar
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    GESSNER, P./WACKER, H.J.: Dynamische Optimierung C. Hanser Verlag, München 1972Google Scholar
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    GÖTZ, E.: Nichtlineare dynamische Systeme mit Zustandsbe- schränkungen Interner Bericht, TU München 1973 (wird demnächst veröffentl.)Google Scholar
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    LJUSTERNIK, L.A./SOBOLEW, W.I.: Elemente der Punktionalana- lysis Akademie - Verlag, Berlin 1968Google Scholar
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    LUENBERGER, D.G.: Optimization by Vector Space Methods Wiley, New York 1969Google Scholar

Copyright information

© Physica-Verlag, Rudolf Liebing KG, Würzburg 1974

Authors and Affiliations

  1. 1.MünchenDeutschland

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