Search results for "Second order conditions"

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Geometric optimal control : homotopic methods and applications

2012

This work is about geometric optimal control applied to celestial and quantum mechanics. We first dealt with the minimum fuel consumption problem of transfering a satellite around the Earth. This brought to the creation of the code HamPath which permits first of all to solve optimal control problem for which the command law is smooth. It is based on the Pontryagin Maximum Principle (PMP) and on the notion of conjugate point. This program combines shooting method, differential homotopic methods and tools to compute second order optimality conditions. Then we are interested in quantum control. We study first a system which consists in two different particles of spin 1/2 having two different r…

[SPI.OTHER]Engineering Sciences [physics]/OtherMéthodes de tirHomotopie différentielle[ SPI.OTHER ] Engineering Sciences [physics]/OtherOrbital transferContrôle optimal géométrique[SPI.OTHER] Engineering Sciences [physics]/Other[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Shooting methodsDifferential homotopyAutomatic differentiationContraste en RMNQuantum control[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Geometric optimal controlConditions du deuxième ordreTransfert orbitalLieux conjugués et de coupureDifférenciation automatiqueSecond order conditions[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Cut and conjugate lociContrast imaging in NMRContrôle quantique
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