Search results for "Riemannian systems with drift"

showing 2 items of 2 documents

Second order optimality conditions with applications

2007

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.

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
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Second order optimality conditions in optimal control with applications

2006

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.

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
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