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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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Geometric Control Theory and Sub-Riemannian Geometry (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R4,140
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Geometric Control Theory and Sub-Riemannian Geometry (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer INdAM Series, 5
Expected to ship within 10 - 15 working days
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Honoring Andrei Agrachev's 60th birthday, this volume presents
recent advances in the interaction between Geometric Control Theory
and sub-Riemannian geometry. On the one hand, Geometric Control
Theory used the differential geometric and Lie algebraic language
for studying controllability, motion planning, stabilizability and
optimality for control systems. The geometric approach turned out
to be fruitful in applications to robotics, vision modeling,
mathematical physics etc. On the other hand, Riemannian geometry
and its generalizations, such as sub-Riemannian, Finslerian
geometry etc., have been actively adopting methods developed in the
scope of geometric control. Application of these methods has led to
important results regarding geometry of sub-Riemannian spaces,
regularity of sub-Riemannian distances, properties of the group of
diffeomorphisms of sub-Riemannian manifolds, local geometry and
equivalence of distributions and sub-Riemannian structures,
regularity of the Hausdorff volume, etc.
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