We announce a sufficient condition for a bang-bang extremal ξˆto be a strong local optimizer for the minimum time problem with fixed endpoints. Strong local optimizer means that ξˆjoins the two given points in time less than the time needed by any other trajectory belonging to a state-neighborhood of ξˆ.
Minimum time optimality of a bang-bang trajectory / L. Poggiolini;G. Stefani. - STAMPA. - 2:(2002), pp. 1922-1925. (Intervento presentato al convegno 41st IEEE Conference on Decision and Control tenutosi a Las Vegas USA nel 10-13 Decembre 2002) [10.1109/CDC.2002.1184807].
Minimum time optimality of a bang-bang trajectory
POGGIOLINI, LAURA;STEFANI, GIANNA
2002
Abstract
We announce a sufficient condition for a bang-bang extremal ξˆto be a strong local optimizer for the minimum time problem with fixed endpoints. Strong local optimizer means that ξˆjoins the two given points in time less than the time needed by any other trajectory belonging to a state-neighborhood of ξˆ.
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