Join BookitisSave favorites, build lists, and follow creators.

Geometric Control Theory and Sub-Riemannian Geometry

Work detail

Bookitis Pick
Cover for Geometric Control Theory and Sub-Riemannian Geometry
GC
Image source: Open Library
Jean-Paul GauthierUgo BoscainAndrey SarychevGianna StefaniMario Sigalotti3 editions

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.

Overview

Shared work-level identity and catalog context.

5 credited authorsSearch language english

Bookitis keeps work pages focused on the shared book identity and the editions that actually belong to it. Unrelated books should not appear here as primary content.

Contributors

People credited with this work in the active catalog.

  • Jean-Paul Gauthier

    Author profile in the active Bookitis catalog

    Open Author
  • Ugo Boscain

    Author profile in the active Bookitis catalog

    Open Author
  • Andrey Sarychev

    Author profile in the active Bookitis catalog

    Open Author
  • Gianna Stefani

    Author profile in the active Bookitis catalog

    Open Author
  • Mario Sigalotti

    Author profile in the active Bookitis catalog

    Open Author

Editions

Publication-specific versions linked to this work only.