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Minimum-Prinzip

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Optimierung

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Zusammenfassung

In diesem Kapitel wird die Problemstellung der optimalen Steuerung dynamischer Systeme von Kap. 10 um die Berücksichtigung von Ungleichungsnebenbedingungen erweitert, die für praktische Anwendungen äußerst wichtig sind. Außerdem werden in Abschn. 11.3.1 Erweiterungen der Problemstellung der optimalen Steuerung durch die Berücksichtigung weiterer Arten von GNB vorgenommen.

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Notes

  1. 1.

    Die Fundamente der optimalen Steuerung einschließlich des Minimum-Prinzips folgen aus dem wichtigen Werk von C. Carathéodory, das ein Jahrzehnt früher entwickelt wurde, s. [Carathéodory(1955)].

  2. 2.

    Normalität des Optimierungsproblems wird vorausgesetzt, s. auch Fußnote in Abschn. 9.4.1.

  3. 3.

    Korrekterweise muss der Wert von \(\mathrm{sign}\,0\) in (11.146) entsprechend definiert werden.

  4. 4.

    Chronos ist auf griechisch die Zeit, isos bedeutet gleich.

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Authors and Affiliations

  1. Technical University of Crete, Chania, Griechenland

    Markos Papageorgiou

  2. TU München, München, Deutschland

    Marion Leibold

  3. TU München, München, Deutschland

    Martin Buss

Authors
  1. Markos Papageorgiou
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  2. Marion Leibold
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  3. Martin Buss
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Correspondence to Markos Papageorgiou .

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Papageorgiou, M., Leibold, M., Buss, M. (2015). Minimum-Prinzip. In: Optimierung. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46936-1_11

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  • DOI: https://doi.org/10.1007/978-3-662-46936-1_11

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