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Mechanical systems and rendez-vous controllability

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Proceedings of the 44th IEEE Conference on Decision and Control
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Motivated by the study of the controlled Kepler problem, we analyze the controllability properties of some classes of mechanical systems. Consider a control system with drift. Our aim is to determine if, given a pair of initial states at a fixed initial time, assuming that the controller acts only on one of the two corresponding trajectories, it is possible for the controlled trajectory to reach the uncontrolled one in finite time. We prove that this is the case for the controlled Kepler

doi:10.1109/cdc.2005.1583501
fatcat:64qo5nd45rgljpfsfzrpulljry