Y. Sachkov

发表

Control Theory from the Geometric Viewpoint

A. Agrachev, Y. Sachkov, 2004 .

Conjugate Points in the Euler Elastic Problem

Y. Sachkov, 2008 .

Maxwell strata in the Euler elastic problem

Y. Sachkov, 2008 .

Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$

Y. Sachkov, R. Duits, E. Bekkers, 2016, Journal of Mathematical Imaging and Vision.

Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group

Y. Sachkov, A. Ardentov, 2011 .

Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane

Y. Sachkov, 2010 .

Relation between Euler’s elasticae and sub-Riemannian geodesics on SE(2)

Y. Sachkov, Alexey Pavlovich Mashtakov, A. Ardentov, 2016, 1609.03704.

Cuspless sub-Riemannian geodesics within the Euclidean motion group SE(d)

Remco Duits, Arpan Ghosh, Yu. L. Sachkov, 2014 .

CURVE CUSPLESS RECONSTRUCTION VIA SUB-RIEMANNIAN

U. Boscain, Y. Sachkov, Francesco Rossi, 2014 .

Curve cuspless reconstruction via sub-Riemannian geometry

Remco Duits, Francesco Rossi, Ugo Boscain, 2012, 1203.3089.

An intrinsic approach to the control of rolling bodies

A. Agrachev, Y. Sachkov, A. A. Agrachev, 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

Control theory on lie groups

Yu. L. Sachkov, Y. Sachkov, 2009 .

Motion planning for linear in control systems

Y. Sachkov, E. Sachkova, 2004 .

Sub-Finsler Geodesics on the Cartan Group

Y. Sachkov, A. Ardentov, E. Le Donne, 2018, Regular and Chaotic Dynamics.

Conjugate Time in the Sub-Riemannian Problem on the Cartan Group

Y. Sachkov, 2020, 2005.13937.

Symmetric Riemannian Problem on the Group of Proper Isometries of Hyperbolic Plane

Y. Sachkov, A. Podobryaev, 2018 .

Cut locus of a left invariant Riemannian metric on SO 3 in the axisymmetric case

Y. Sachkov, A. Podobryaev, 2015, 1504.05472.

Cut time in sub-Riemannian problem on Engel group

Y. Sachkov, A. Ardentov, 2014, 1408.6651.

Extremal Trajectories and Maxwell Strata in Sub-Riemannian Problem on Group of Motions of Pseudo-Euclidean Plane

A. I. Bhatti, Y. Sachkov, Y. Butt, 2013, 1305.1338.

On Invariant Orthants of Bilinear Systems

Y. Sachkov, 1998 .

Sub-Riemannian geodesics on the free Carnot group with the growth vector (2,3,5,8)

Y. Sachkov, 2014, 1404.7752.

M ay 2 01 4 Superintegrability of Sub-Riemannian Problems on Unimodular 3 D Lie Groups ∗

Y. Sachkov, Alexey Pavlovich Mashtakov, 2014 .

Stability of inflectional elasticae centered at vertices or inflection points

Y. Sachkov, S. Levyakov, 2010 .

The Maxwell set in the generalized Dido problem

Y. Sachkov, 2006 .

Discrete symmetries in the generalized Dido problem

Y. Sachkov, 2006 .

Sub-Riemannian geodesics in SO(3) with application to vessel tracking in spherical images of retina

Y. Sachkov, R. Duits, I. Beschastnyi, 2017 .

Controllability of Right-Invariant Systems on Solvable Lie Groups

Y. Sachkov, 1997 .

Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane

Y. Sachkov, 2010 .

Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater

Y. Sachkov, L. Lokutsievskiy, 2018 .

Maxwell Strata and Conjugate Points in the Sub-Riemannian Problem on the Lie Group SH(2)

A. I. Bhatti, Y. Sachkov, Y. Butt, 2014, 1408.2043.

Sub-Lorentzian distance and spheres on the Heisenberg group

Y. Sachkov, E. Sachkova, 2022, 2208.04073.

The structure of abnormal extremals in a sub-Riemannian problem with growth vector

Y. Sachkov, E. Sachkova, 2020, Sbornik: Mathematics.

Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane

A. P. Mashtakov, Y. Sachkov, 2011 .

Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve

Y. Sachkov, M. Dmitriev, 2013 .

On Carnot algebra with the growth vector (2,3,5,8)

Y. Sachkov, 2013, 1304.1035.

Geodesics in the sub-Riemannian problem on the group

Y. Sachkov, I. Beschastnyi, 2016 .

Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2)

U. Boscain, Y. Sachkov, Francesco Rossi, 2013, Journal of Mathematical Imaging and Vision.

Symmetric Riemannian Problem on the Group of Proper Isometries of Hyperbolic Plane

Y. Sachkov, A. Podobryaev, 2017, Journal of Dynamical and Control Systems.

Complete description of the Maxwell strata in the generalized Dido problem

Y. Sachkov, 2006 .

Sub-Finsler Geodesics on the Cartan Group

Y. Sachkov, A. Ardentov, E. Le Donne, 2019, Regular and Chaotic Dynamics.

A Sub-Finsler Problem on the Cartan Group

Y. Sachkov, A. Ardentov, E. Le Donne, 2019, Proceedings of the Steklov Institute of Mathematics.

Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve

Y. Sachkov, M. Dmitriev, 2013, Differential Equations.

Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry

A. A. Ardentov, L. V. Lokutsievskiy, Yu.L. Sachkov, 2020, ESAIM: Control, Optimisation and Calculus of Variations.

Optimal control for reconstruction of curves without cusps

Remco Duits, Francesco Rossi, Ugo V. Boscain, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

Homogeneous Sub-Riemannian Geodesics on a Group of Motions of the Plane

Yuri Sachkov, Y. Sachkov, 2021, Differential Equations.

Maxwell strata in sub-Riemannian problem on the group of motions of a plane

Yu. L. Sachkov, Y. Sachkov, I. Moiseev, 2008, 0807.4731.

Controllability of invariant systems on lie groups and homogeneous spaces

Yu. L. Sachkov, Y. Sachkov, 2000 .

Conjugate points in Euler's elastic problem

Y. Sachkov, 2007, 0705.1003.

Controllability of Invariant Systems on Solvable Lie Groups

Y. Sachkov, 1996 .

Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane

Y. Sachkov, Yuri L. Sachkov, 2011 .

Introduction to Geometric Control

Y. Sachkov, 2019, Springer Optimization and Its Applications.

ESAIM: Control, Optimisation and Calculus of Variations

Y. Sachkov, I. Moiseev, 2009 .

Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane

Y. Sachkov, 2010 .

Exponential Mapping in Euler’s Elastic Problem

Y. Sachkov, E. Sachkova, 2013, 1303.1746.

Closed Euler elasticae

Y. Sachkov, 2012, Proceedings of the Steklov Institute of Mathematics.

Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane

Y. Sachkov, 2011 .

Solution to Euler’s elastic problem

A. A. Ardentov, Yu. L. Sachkov, Y. Sachkov, 2009 .

Cut time and optimal synthesis in sub-Riemannian problem on the group of motions of a plane

Y. Sachkov, 2009, 0903.0727.

Maxwell strata in Euler's elastic problem

Yu. L. Sachkov, Y. Sachkov, 2007, 0705.0614.

ESAIM: Control, Optimisation and Calculus of Variations

Y. Sachkov, 2009 .

IN THE EULER ELASTIC PROBLEM

Y. Sachkov, 2008 .

Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups

A. P. Mashtakov, Yu. L. Sachkov, Y. Sachkov, 2015 .

Bicycle paths, elasticae and sub-Riemannian geometry

R. Montgomery, Y. Sachkov, A. Ardentov, 2020, 2010.04201.

Sub-Riemannian Engel Sphere

Y. Sachkov, A. Popov, 2021, Doklady Mathematics.

Symmetric Riemannian problem on the group of proper isometries of hyperbolic plane

Y. Sachkov, A.V.Podobryaev, Yu.L.Sachkov, 2017, 1701.00825.

Controllability of hypersurface and solvable invariant systems

Y. Sachkov, 1996 .