Conjugate and cut loci of a two-sphere of revolution with application to optimal control

Abstract : The objective of this article is to present a sharp result to determine when the cut locus for a class of metrics on a two-sphere of revolution is reduced to a single branch. This work is motivated by optimal control problems in space and quantum dynamics and give global optimal results in orbital transfer and for Redfield equations in quantum control.
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https://hal.archives-ouvertes.fr/hal-00212075
Contributor : Jean-Baptiste Caillau <>
Submitted on : Friday, February 22, 2008 - 1:05:55 PM
Last modification on : Friday, June 14, 2019 - 6:31:00 PM
Long-term archiving on : Friday, November 25, 2016 - 7:59:32 PM

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  • HAL Id : hal-00212075, version 2

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Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka. Conjugate and cut loci of a two-sphere of revolution with application to optimal control. 2008. ⟨hal-00212075v2⟩

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