Control of Diffeomorphisms and Densities Andrei A. Agrachev SISSA, Trieste, Italy and Steklov Mathematical Institute, Moscow, Russia e-mail: agrachev@sissa.it Consider a classical control system as it was defined by Pontryagin: x = f (x, u), x M , u U. (1) Assume that the state space M is a smooth manifold , the set of control parameters U is a closed subset of another smooth manifold , the righthand side f is ...
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