Newton's Method for Global Free Flight Trajectory Optimization

Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, u...

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Hauptverfasser:	Borndörfer, Ralf, Danecker, Fabian, Weiser, Martin
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Mathematics - Optimization and Control
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Beschreibung
Zusammenfassung:	Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, under certain assumptions, this is the case.
DOI:	10.48550/arxiv.2302.04748