On smoothness of sub-Riemannian minimizers

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Sub-Riemannian geometry and Carnot-Caratheodory spaces find their applications in geometric phases and in nonholonomic motion planning while the calculation of the sub-Riemannian length minimizers is a problem for geometric control theory. The results of smooth sub-Riemannian geodesics are interesting and important but it cannot always measure distance by means of abnormal extremals. It is only smooth in homogeneous systems whose state spaces are compact.

Original languageEnglish (US)
Pages (from-to)243-245
Number of pages3
JournalJournal of Mathematical Systems, Estimation, and Control
Volume7
Issue number2
StatePublished - 1997

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Motion planning
Control theory
Geometry

ASJC Scopus subject areas

  • Engineering(all)

Cite this

On smoothness of sub-Riemannian minimizers. / Nikitin, Sergey.

In: Journal of Mathematical Systems, Estimation, and Control, Vol. 7, No. 2, 1997, p. 243-245.

Research output: Contribution to journalArticle

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