Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Sub-Riemannian Optimization

Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_48-1

Abstract

Optimization problems arising in the control of some important types of physical systems lead naturally to problems in sub-Riemannian optimization. Here we provide context and background material on the relevant mathematics and discuss some specific problem areas where these ideas play a role.

Keywords

Lie algebras Sub-Riemannian geodesics Periodic processes Carnot-Carathéodory metric Symmetric spaces Subelliptic operators 
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Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.Harvard UniversityCambridge, MAUSA