6533b873fe1ef96bd12d5e37
RESEARCH PRODUCT
Second order optimality conditions in optimal control with applications
Bernard Bonnard Jean-baptiste Caillau Emmanuel Trélatsubject
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 driftdescription
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.
year | journal | country | edition | language |
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2006-08-30 |