6533b853fe1ef96bd12ad7fb

RESEARCH PRODUCT

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

Robert SinclairBernard BonnardJean-baptiste CaillauMinoru Tanaka

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyWork (thermodynamics)Class (set theory)Quantum dynamicsCut locus02 engineering and technologySpace (mathematics)01 natural sciencesspace and quantum mechanicsoptimal control020901 industrial engineering & automationconjugate and cut loci0101 mathematics2-spheres of revolutionMathematical PhysicsMathematicsApplied Mathematics010102 general mathematicsMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]53C20; 53C21; 49K15; 70Q05Optimal controlMetric (mathematics)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Orbital maneuverAnalysis

description

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 gives global optimal results in orbital transfer and for Lindblad equations in quantum control.

yearjournalcountryeditionlanguage
2008-02-22
https://hal.archives-ouvertes.fr/hal-00212075v2/file/art.pdf