Erschienen: 27.08.2016 Abbildung von Stefani / Boscain | Geometric Control Theory and Sub-Riemannian Geometry | 1. Auflage | 2016 | 5 | beck-shop.de

Stefani / Boscain / Gauthier / Sarychev / Sigalotti

Geometric Control Theory and Sub-Riemannian Geometry

lieferbar ca. 10 Tage als Sonderdruck ohne Rückgaberecht

Buch. Softcover

Softcover reprint of the original 1st ed. 2014. 2016

xii, 384 S. 55 s/w-Abbildungen, 49 Farbabbildungen, Bibliographien

In englischer Sprache

Springer. ISBN 978-3-319-35025-7

Format (B x L): 15,5 x 23,5 cm

Gewicht: 611 g

Das Werk ist Teil der Reihe: Springer INdAM Series; 5

Produktbeschreibung

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.

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