Singular extremals on Lie groups-Reference-Cited by-同舟云学术

Singular extremals on Lie groups

Published:1994-09 Issue:3 Volume:7 Page:217-234
ISSN:0932-4194
Container-title:Mathematics of Control, Signals, and Systems
language:en
Short-container-title:Math. Control Signal Systems

Author:

Montgomery Richard

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF01212270.pdf

Reference18 articles.

1. J. F. Adams,Lectures on Lie Groups, University of Chicago Press, Chicago, 1969.

2. A. A. Agrachev and R. V. Gamkrelidze, The exponential representation of flows and chronological calculus,Mat. Sb.,109 (1978), 467?532.

3. J.-M. Bismut,Large Deviations and the Malliavin Calculus, Birkhauser, Boston, 1984.

4. R. W. Brockett, Nonlinear control theory and differential geometry,Proceedings of the International Congress of Mathematicians, Warszawa, 1983, pp. 1357?1368.

5. R. Bryant and L. Hsu, Rigidity of integral curves of rank two distributions,Invent. Math.,114 (1993), 435?461.

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variational formulas for submanifolds of fixed degree;Calculus of Variations and Partial Differential Equations;2021-09-22

2. Higher Dimensional Holonomy Map for Ruled Submanifolds in Graded Manifolds;Analysis and Geometry in Metric Spaces;2020-01-01

3. Length spectra of sub-Riemannian metrics on compact Lie groups;Pacific Journal of Mathematics;2018-07-16

4. Sard property for the endpoint map on some Carnot groups;Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire;2016-12

5. Some properties of abnormal extremals on Lie groups;Acta Mathematica Sinica, English Series;2014-11-15