Proves generic exact controllability for finite point ensembles on manifolds and gives approximate controllability criteria for continual ensembles by adapting Lie-algebraic methods, plus a motion planning result for flows.
Ledyaev , Extension of Chronological Calculus for Dynamical Systems on Manifolds , J
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Control in the spaces of ensembles of points
Proves generic exact controllability for finite point ensembles on manifolds and gives approximate controllability criteria for continual ensembles by adapting Lie-algebraic methods, plus a motion planning result for flows.