Controllability on infinite-dimensional manifolds

Abstract

Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected manifolds modelled on convenient (infinite-dimensional) locally convex spaces which are not necessarily normable.

19 pages, 1 figure

References in corpus (1)

• Sub-Riemannian structures corresponding to Kählerian metrics on the universal Teichmueller space and curve

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