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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Geometric Control Theory and Sub-Riemannian Geometry

Geometric Control Theory and Sub-Riemannian Geometry

Stefani, Gianna
Boscain, Ugo
Gauthier, Jean-Paul

Paperback

Series: Springer Indam, Book 5

CalculusGeneral MathematicsGeometry

ISBN10: 3319350250
ISBN13: 9783319350257
Publisher: Springer Nature
Published: Aug 27 2016
Pages: 384
Weight: 1.23
Height: 0.82 Width: 6.14 Depth: 9.21
Language: English
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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