Honoring Andrei Agrachev's sixtieth birthday, this quantity provides contemporary advances within the interplay among Geometric keep watch over idea and sub-Riemannian geometry. at the one hand, Geometric keep watch over concept used the differential geometric and Lie algebraic language for learning controllability, movement making plans, stabilizability and optimality for regulate platforms. The geometric method became out to be fruitful in purposes to robotics, imaginative and prescient modeling, mathematical physics and so forth. nonetheless, Riemannian geometry and its generalizations, comparable to sub-Riemannian, Finslerian geometry etc., were actively adopting tools built within the scope of geometric regulate. program of those equipment has ended in vital effects relating to geometry of sub-Riemannian areas, regularity of sub-Riemannian distances, homes of the gang of diffeomorphisms of sub-Riemannian manifolds, neighborhood geometry and equivalence of distributions and sub-Riemannian constructions, regularity of the Hausdorff quantity, and so forth.
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