Geometric Control Theory and Sub-Riemannian Geometry

Gianna Stefani (Curatore)

Ugo Boscain (Curatore)

Springer International Publishing AG, 2016

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.

• Curatore: Gianna Stefani, Ugo Boscain
• Editore: Springer International Publishing AG
• Collana: Springer INdAM Series
• Anno: 2016
• Rilegatura: Paperback / softback
• Pagine: 384 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319350257

Testo in English