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| Paper IPM / M / 16947 |
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| Abstract: | |
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In this paper, we give a generalization of Chow-Rashevsky's theorem for control systems in regular connected manifolds modeled on convenient locally convex vector spaces which are not necessarily normable. To indicate an application of our approach to the infinite-dimensional geometric control problems, we conclude with a
novel controllability result on the group of orientation-preserving diffeomorphisms of the unit circle, which has applications in, e.g., conformal field theory as well as string theory and statistical mechanics.
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