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Eine Übersicht über das Maximumprinzip für optimale Kontrollprobleme mit Zustandsnebenbedingungen

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Part of the book series: Operations Research Proceedings ((ORP,volume 1983))

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Zusammenfassung

Obwohl schon im Standardwerk der Kontrolltheorie, PONTRJAGIN et al /30/, Steuerprobleme mit Zustandsnebenbedingungen behandelt wurden, sind diese Probleme noch immer als schwierig zu klassifizieren. So tragen z.B. die verschiedenen Formen der notwendigen (und hinreichenden) Optimalitätsbedingungen dazu bei, Verwirrung zu stiften. In der Literatur finden sich einige Übersichtsaufsätze, die die wichtigsten bekannten Resultate wiedergeben bzw. teilweise auch die Optimalitätsbedingungen in einigen Formen vergleichen. Siehe etwa McINTYRE und PAIEWONSKY /27/, JACOBSON, LELE und SPEYER /14/, LITT /20/, MAURER /25/, /26/, Kapitel 17 von KAMIEN und SCHWARTZ /16/, KREINDLER /17/, LOON /23/, SETHI, DREWS und SEGERS /39/ und VICKSON /41/.

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Hartl, R. (1984). Eine Übersicht über das Maximumprinzip für optimale Kontrollprobleme mit Zustandsnebenbedingungen. In: Steckhan, H., Bühler, W., Jäger, K.E., Schneeweiß, C., Schwarze, J. (eds) DGOR. Operations Research Proceedings, vol 1983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69546-9_126

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  • DOI: https://doi.org/10.1007/978-3-642-69546-9_126

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