6533b873fe1ef96bd12d5e37

RESEARCH PRODUCT

Second order optimality conditions in optimal control with applications

Bernard Bonnard Jean-baptiste Caillau Emmanuel 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

The aim of this article is to present the algorithm to compute the first conjugate point along a smooth extremal curve. Under generic assumptions, the trajectory ceases to be optimal at such a point. An implementation of this algorithm, called \texttt{cotcot}, is available online and based on recent developments in geometric optimal control. It is applied to analyze the averaged optimal transfer of a satellite between elliptic orbits.

yearjournalcountryeditionlanguage
2006-08-30
https://hal.archives-ouvertes.fr/hal-00090374/document