Yuri L. Sachkov
Submitted
[99] Yu.L. Sachkov, E.F. Sachkova, Sub-Lorentzian distance and spheres on the Heisenberg group![](/wp-content/uploads/2014/08/arrow_down_eng.png)
2023
[98] Yu. Sachkov, Lorentzian geometry in the Lobachevsky plane![](/wp-content/uploads/2014/08/arrow_down.png)
[97] Ю.Л. Сачков, Е.Ф. Сачкова, Анормальные траектории в субримановой (2,3,5,8)-задаче
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[96] Ю.Л. Сачков, Е.Ф. Сачкова, Сублоренцева задача на группе Гейзенберга
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[95] Yu. Sachkov, Left-invariant optimal control problems on Lie groups integrable in elliptic functions
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2022
[94] Ю.Л. Сачков, Субриманова сфера Картана![](/wp-content/uploads/2014/08/arrow_down.png)
[93] Yu. Sachkov, Left-invariant optimal control problems on Lie groups: classifications and problems integrable in elementary functions
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2021
[92] Yu. Sachkov, E. Sachkova, Abnormal set for (2,3,5,8)-distribution![](/wp-content/uploads/2014/08/arrow_down.png)
[91] Yu. Sachkov, Homogeneous sub-Riemannian geodesics on the group of motions of the plane
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[90] Yu. Sachkov, E. Sachkova, Carnot algebras and sub-Riemannian structures with the growth vector (2,3,5,6)
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[89] Yu. Sachkov, A. Popov, Sub-Riemannian Engel sphere
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[88] Sachkov, Y.L. Conjugate Time in the Sub-Riemannian Problem on the Cartan Group
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[87] Andrei Ardentov, Gil Bor, Enrico Le Donne, Richard Montgomery and Yuri Sachkov, Bicycle paths, elasticae and sub-Riemannian geometry
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[86] A.A. Ardentov, L.V. Lokutsievskiy, Yu.L. Sachkov, Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry
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2020
[85] A.A. Ardentov, L.V. Lokutsievskiy, Y.L. Sachkov, Explicit Solutions for a Series of Optimization Problems with 2-Dimensional Control via Convex Trigonometry[84] Yu. Sachkov , E. F. Sachkova, The structure of abnormal extremals in a sub-Riemannian problem with growth vector (2, 3, 5, 8)
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[83] Ю.Л.Сачков, Сопряженные точки в обобщенной задаче Дидоны
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[82] Ю.Л. Сачков, Периодические оптимальные по быстродействию управления на двухступенных свободных нильпотентных группах Ли
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[81] Yu. Sachkov, Introduction to geometric control
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[80] Yu. L. Sachkov, Periodic controls in step 2 strictly convex sub-Finsler problems
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2019
[79] Yu. L.Sachkov, E. F.Sachkova, Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[78] Ардентов А.А., Сачков Ю.Л., Субфинслеровы структуры на группе Энгеля
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[77] Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov, Sub-Finsler Geodesics on the Cartan Group
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[76] Ардентов А.А., Сачков Ю.Л., Субфинслерова задача на группе Картана
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[75] Ардентов А.А., Э. Ле Донне, Сачков Ю.Л., Экстремальные траектории в субфинслеровой задаче на группе Картана
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2018
[74] A. V. Podobryaev, Yu. L. Sachkov, Symmetric riemannian problem on the group of proper isometries of hyperbolic plane[73] А. А. Ардентов, Ю. Л. Сачков, Т. Хуанг, К. Янг, “Экстремальные траектории в сублоренцевой задаче на группе Энгеля”
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[72] Yu. L. Sachkov, Optimal bang-bang trajectories in sub-Finsler problem on the Cartan group
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[71] Л.В. Локуциевский, Ю. Л. Сачков, Об интегрируемости по Лиувиллю субримановых задач на группах Карно глубины 4 и больше
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[70] A. A. Ardentov, Yu. L. Sachkov, Cut Locus in the Sub-Riemannian Problem on Engel Group
[69] A. A. Ardentov, Tiren Huang, Yu. L. Sachkov, Xiaoping Yang, Extremals in the Engel group with a sub-Lorentzian metric
2017
[68] A. V. Podobryaev, Yu. L. Sachkov, Left-Invariant Riemannian Problems on the Groups of Proper Motions of Hyperbolic Plane and Sphere[67] E. Bekkers, R. Duits, A. Mashtakov, Yu. Sachkov. Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle.
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[66] A. P. Mashtakov, Remco Duits, Yu. L. Sachkov, Erik Bekkers, I. Yu. Beschastnyi. Sub-Riemannian Geodesics in SO(3) with Application to Vessel Tracking in Spherical Images of Retina.
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[65] A. Mashtakov, R. Duits, Yu. Sachkov, E. J. Bekkers, I. Beschastnyi. Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)
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[64] A. A. Ardentov, Yu. L. Sachkov, Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group
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[63] Y.A.Butt, A.I. Bhatti, Yu.L. Sachkov, Cut Locus and Optimal Synthesis in Sub-Riemannian Problem on the Lie Group SH(2)
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[62] Ю. Л. Сачков, Е.Ф. Сачкова, Вырожденные анормальные экстремали в субримановой задаче с вектором роста (2,3,5,8)
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2016
[61] A. V. Podobryaev, Yu. L. Sachkov, Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case[60] A.P. Mashtakov, A.A. Ardentov, Yu.L. Sachkov, Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)
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[59] Qihui Cai, Tiren Huang, Yu. L. Sachkov, Xiaoping Yang, Geodesics in the Engel group with a sub-Lorentzian metric
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[58] I.Yu. Beschastnyi, Yu.L. Sachkov. Sub-Riemannian and almost-Riemannian geodesics on SO(3) and
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[57] Ya. A. Butt, Yu. L. Sachkov, A.I. Bhatti, Maxwell strata and conjugate points in the sub-Riemannian problem on the Lie group SH(2)
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2015
[56] A. P. Mashtakov, Yu. L. Sachkov, Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups![](/wp-content/uploads/2014/08/arrow_down.png)
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[55] J.-P. Gauthier, Yu. L. Sachkov. On the free Carnot (2, 3, 5, 8) group
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[54] A. A. Ardentov, Yu. L. Sachkov, Cut time in sub-Riemannian problem on Engel group
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2014
[53] A.P. Mashtakov, Yu.L. Sachkov, Integrability of left-invariant sub-Riemannian structures on the special linear group![SL_2(R)](http://control.botik.ru/wp-content/plugins/latex/cache/tex_7e5d652f6390f89861b1658d87c99ca5.gif)
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[52] Yu. L. Sachkov, E. L. Sachkova, Exponential mapping in Euler's elastic problem
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[51] U. Boscain, R. Duits, F. Rossi, Yu. L. Sachkov, Curve cuspless reconstruction via sub-Riemannian geometry
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[50] U. Boscain, R. Duits, F. Rossi, Yu. L. Sachkov, Association fields via cuspless sub-Riemannian geodesics in SE(2)
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[49] Ya. A. Butt, Yu. L. Sachkov, A. I. Bhatti, Parametrization of Extremal Trajectories in Sub-Riemannian Problem on Group of Motions of Pseudo Euclidean Plane
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2013
[48] M.G. Dmitriev, Yu.L. Sachkov, Optimal Control Problem Related to the Reconstruction of a Defective Curve![](/wp-content/uploads/2014/08/arrow_down.png)
[47] A. P. Mashtakov, A. A. Ardentov, Yu. L. Sachkov, Parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations
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[46] A. A. Ardentov, Yu. L. Sachkov, Conjugate points in nilpotent sub-Riemannian problem on the Engel group
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2012
[45] Ю. Л. Сачков, А. А. Ардентов, И. Ю. Бесчастный, А. П. Маштаков, Интерфейс для исследования субримановых геодезических на трехмерных группах Ли[44] Yu.L. Sachkov, Closed Euler Elasticae
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[43] A. A. Ardentov, I. Yu. Beschatnyi, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova, Algorithms for evaluation position and orientation of UAV
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2011
[42] A. P. Mashtakov, Yu. L. Sachkov, Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane![](/wp-content/uploads/2014/08/arrow_down.png)
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[41] Yu. L. Sachkov, Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
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[40] A.A. Ardentov, Yu.L. Sachkov, Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
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[39] A. A. Ardentov, Yu. L. Sachkov, Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry
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2010
[38] Yu. L. Sachkov, Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[37] I. Moiseev, Yu. L. Sachkov, Maxwell strata in sub-Riemannian problem on the group of motions of a plane
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[36] Yu. L. Sachkov, Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane
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[35] Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, Parallel algorithm and software for recovery of isophotes for corrupted images
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[34] Yu. L. Sachkov, S. V. Levyakov, Stability of inflectional elasticae centered at vertices or inflection points
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2009
[33] Ю. Л. Сачков, А. А. Ардентов, А. П. Маштаков, Конструктивное решение задачи управления на основе метода нильпотентной аппроксимации![](/wp-content/uploads/2014/08/arrow_down.png)
[32] Yu.L. Sachkov, A.A. Ardentov, Parallel algorithms and programs for modelling of euler elasticae
[31] Yu. L. Sachkov, A. A. Ardentov, V. M. Kasimov, A. P. Mashtakov, Reconstruction of images via variational principle
[30] A. A. Ardentov, Yu. L. Sachkov, Solution to Euler’s elastic problem
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2008
[29] V.I. Gurman, Yu.L. Sachkov. Representation and realization of the generalized solutions of the unlimited-locus controllable systems[28] Yu. L. Sachkov, Conjugate points in Euler's elastic problem
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[27] Yu. L. Sachkov, Maxwell strata in Euler's elastic problem
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2007
[26] Ю.Л. Сачков, Управляемость и симметрии инвариантных систем на группах Ли и однородных пространствах![](/wp-content/uploads/2014/08/arrow_down.png)
[25] Yu. L. Sachkov, Control theory on Lie groups
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[24] Yu. L. Sachkov, Optimality of Euler's elasticae
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2006
[23] Yu. L. Sachkov, Complete description of the Maxwell strata in the generalized Dido problem![](/wp-content/uploads/2014/08/arrow_down.png)
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[22] Yu.L. Sachkov, The Maxwell set in the generalized Dido problem
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[21] Yu.L. Sachkov, Discrete symmetries in generalized Dido's problem
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2005
[20] A.A. Agrachev, Yu.L. Sachkov, Control theory from the geometric viewpoint![](/wp-content/uploads/2014/08/arrow_down.png)
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2004
[19] A.A. Agrachev, Yu. L. Sachkov, Control theory from the geometric viewpoint![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[18] Yu. L. Sachkov, Symmetries of flat rank two distributions and sub-Riemannian Structures
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2003
[17] Yu. L. Sachkov, Exponential map in the generalized Dido problem![](/wp-content/uploads/2014/08/arrow_down.png)
2001
[16] A.A. Agrachev, Yu. L. Sachkov, Optimal control problem for a nonlinear driftless 5-dimensional system with 2 inputs![](/wp-content/uploads/2014/08/arrow_down_eng.png)
2000
[15] Yu. L. Sachkov, Classification of controllable systems on low-dimensional solvable Lie groups![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[14] Yu. L. Sachkov, Controllability of Invariant Systems on Lie Groups and Homogeneous Spaces
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1999
[13] A.A. Agrachev, Yu. L. Sachkov, An Intrinsic Approach to the Control of Rolling Bodies![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[12] Yu. L. Sachkov, Survey on Controllability of Invariant Systems on Solvable Lie Groups
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1998
[11] Yu. L. Sachkov, On Invariant Orthants of Bilinear Systems![](/wp-content/uploads/2014/08/arrow_down_eng.png)
1997
[10] Yu. L. Sachkov, Controllability of Right-Invariant Systems on Solvable Lie Groups![](/wp-content/uploads/2014/08/arrow_down_eng.png)
[9] Yu. L. Sachkov, On Positive Orthant Controllability of Bilinear Systems in Small Codimensions
[8] Yu. L. Sachkov, Controllability of Affine Right-Invariant Systems on Solvable Lie Groups
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1996
[7] Yu. L. Sachkov, Controllability of Hypersurface and Solvable Invariant Systems![](/wp-content/uploads/2014/08/arrow_down_eng.png)
1995
[6] Yu. L. Sachkov, Invariant Orthants of Bilinear Systems[5] Yu. L. Sachkov, Positive Orthant Controllability of Single-input Bilinear Systems
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1993
[4] Yu. L. Sachkov, Invariant Orthants of Bilinear Systems[3] Yu. L. Sachkov, Positive Orthant Controllability of 2-dimensional and 3-dimensional Bilinear Systems
1991
[2] Yu. L. Sachkov, Invariant Domains of 3-dimensional Bilinear Systems[1] Yu. L. Sachkov, Controllability of 3-dimensional Bilinear Systems