6533b7cffe1ef96bd12595ff

RESEARCH PRODUCT

Second order optimality conditions with applications

B. BonnardJ. -B CaillauEmmanuel Trélat

subject

conjugate points[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]time optimal control49K15 70Q05Orbital transfer[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Riemannian systems with drift

description

International audience; The aim of this article is to present the algorithm to compute the first conjugate point along a smooth extremal curve. Under generic assump- tions, the tra jectory ceases to be optimal at such a point. An implementation of this algorithm, called cotcot, is available online and based on recent devel- opments in geometric optimal control. It is applied to analyze the averaged optimal transfer of a satellite between elliptic orbits.

yearjournalcountryeditionlanguage
2007-01-01
https://hal.archives-ouvertes.fr/hal-00105493/file/DCDSPoitiers06.pdf