Title :
A regularity theorem for minimizers of real-analytic subriemannian metrics
Author :
Sussmann, Hector J.
Author_Institution :
Dept. of Math., State Univ. of New Jersey, Piscataway, NJ, USA
Abstract :
We prove, for real-analytic subriemannian metrics, that if a trajectory parametrized by arc-length is an arc-length minimizer, then the trajectory is real-analytic on an open dense subset of its interval of definition.
Keywords :
computational geometry; set theory; arc-length minimizer; open dense subset; real-analytic subRiemannian metrics; regularity theorem; Frequency modulation; Manifolds; Measurement; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040138
