Strong minimality of abnormal geodesics for 2-distributions-Reference-Cited by-同舟云学术

Strong minimality of abnormal geodesics for 2-distributions

Published:1995-04 Issue:2 Volume:1 Page:139-176
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:Journal of Dynamical and Control Systems

Author:

Agrachev A. A.,Sarychev A. V.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF02254637.pdf

Reference20 articles.

1. A. A. Agrachev, Quadratic mappings in geometric control theory. (Russian)Itogi Nauki i Tekhniki; Problemy Geometrii, VINITI, Akad. Nauk SSSR, Vol. 20Moscow, 1988, 11–205. English translation:J. Sov. Math. 51 (1990), 2667–2734.

2. A. A. Agrachev and R.V. Gamkrelidze, Second-order optimality condition for the time-optimal problem. (Russian)Mat. Sb. 100 (1976), 610–643. English translation:Math. USSR Sb. 29 (1976), 547–576.

3. —, Exponential representation of flows and chronological calculus. (Russian)Mat. Sb. 107 (1978), 467–532. English translation:Math. USSR Sb.,35 (1979), 727–785.

4. A. A. Agrachev, R. V. Gamkrelidze, and A. V. Sarychev, Local invariants of smooth control systems.Acta Appl. Math. 14 (1989), 191–237.

5. A. A. Agrachev and A. V. Sarychev On abnormal extremals for lagrange variational problems.J. Math. Syst., Estimation and Control (to appear).

Cited by 44 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. Normal forms for the endpoint map near nice singular curves for rank-two distributions;ESAIM: Control, Optimisation and Calculus of Variations;2021

2. On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures;Journal de Mathématiques Pures et Appliquées;2020-01

3. Index;A Comprehensive Introduction to Sub-Riemannian Geometry;2019-10-31

4. Geometry of Parametrized Curves in Lagrangian Grassmannians Igor Zelenko;A Comprehensive Introduction to Sub-Riemannian Geometry;2019-10-31

5. The Sub-Riemannian Heat Equation;A Comprehensive Introduction to Sub-Riemannian Geometry;2019-10-31