Publications

Yuri L. Sachkov

Submitted

[70] A.V. Podobryaev, Yu.L. Sachkov, Symmetric Riemannian problem on the group of proper isometries of hyperbolic plane  
[69] Ю. Л. Сачков, Е.Ф. Сачкова, Вырожденные анормальные экстремали в субримановой задаче с вектором роста (2,3,5,8)  

2018

[68] A. A. Ardentov, Yu. L. Sachkov, Cut Locus in the Sub-Riemannian Problem on Engel Group
[67] A. A. Ardentov, Tiren Huang, Yu. L. Sachkov, Xiaoping Yang, Extremals in the Engel group with a sub-Lorentzian metric

2017

[66] E. Bekkers, R. Duits, A. Mashtakov, Yu. Sachkov. Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle.  
[65] 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.   
[64] A. Mashtakov, R. Duits, Yu. Sachkov, E. J. Bekkers, I. Beschastnyi. Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)   
[63] A. A. Ardentov, Yu. L. Sachkov, Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group  
[62] Y.A.Butt, A.I. Bhatti, Yu.L. Sachkov, Cut Locus and Optimal Synthesis in Sub-Riemannian Problem on the Lie Group SH(2)  

2016

[61] A.P. Mashtakov, A.A. Ardentov, Yu.L. Sachkov, Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)  
[60] Qihui Cai, Tiren Huang, Yu. L. Sachkov, Xiaoping Yang, Geodesics in the Engel group with a sub-Lorentzian metric  
[59] A. V. Podobryaev, Yu. L. Sachkov, Cut locus of a left invariant Riemannian metric on SO(3) in the axisymmetric case  
[58] I.Yu. Beschastnyi, Yu.L. Sachkov. Sub-Riemannian and almost-Riemannian geodesics on SO(3) and S^2   
[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)  

2015

[56] A. P. Mashtakov, Yu. L. Sachkov, Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups   
[55] J.-P. Gauthier, Yu. L. Sachkov. On the free Carnot (2, 3, 5, 8) group  
[54] A. A. Ardentov, Yu. L. Sachkov, Cut time in sub-Riemannian problem on Engel group  

2014

[53] А. П. Маштаков, Ю. Л. Сачков, Интегрируемость субримановых структур на специальной линейной группе SL_2(R)  
[52] Yu. L. Sachkov, E. L. Sachkova, Exponential mapping in Euler's elastic problem  
[51] U. Boscain, R. Duits, F. Rossi, Yu. L. Sachkov, Curve cuspless reconstruction via sub-Riemannian geometry  
[50] U. Boscain, R. Duits, F. Rossi, Yu. L. Sachkov, Association fields via cuspless sub-Riemannian geodesics in SE(2)  
[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  

2013

[48] M.G. Dmitriev, Yu.L. Sachkov, Optimal Control Problem Related to the Reconstruction of a Defective Curve  
[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  
[46] A. A. Ardentov, Yu. L. Sachkov, Conjugate points in nilpotent sub-Riemannian problem on the Engel group  

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  
[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  

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  
[41] Yu. L. Sachkov, Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane  
[40] A.A. Ardentov, Yu.L. Sachkov, Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group   
[39] A. A. Ardentov, Yu. L. Sachkov, Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry  

2010

[38] Yu. L. Sachkov, Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane  
[37] I. Moiseev, Yu. L. Sachkov, Maxwell strata in sub-Riemannian problem on the group of motions of a plane  
[36] Yu. L. Sachkov, Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane  
[35] Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, Parallel algorithm and software for recovery of isophotes for corrupted images  
[34] Yu. L. Sachkov, S. V. Levyakov, Stability of inflectional elasticae centered at vertices or inflection points   

2009

[33] Ю. Л. Сачков, А. А. Ардентов, А. П. Маштаков, Конструктивное решение задачи управления на основе метода нильпотентной аппроксимации  
[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   

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  
[27] Yu. L. Sachkov, Maxwell strata in Euler's elastic problem  

2007

[26] Ю.Л. Сачков, Управляемость и симметрии инвариантных систем на группах Ли и однородных пространствах  
[25] Yu. L. Sachkov, Control theory on Lie groups   
[24] Yu. L. Sachkov, Optimality of Euler's elasticae  

2006

[23] Yu. L. Sachkov, Complete description of the Maxwell strata in the generalized Dido problem   
[22] Yu.L. Sachkov, The Maxwell set in the generalized Dido problem   
[21] Yu.L. Sachkov, Discrete symmetries in generalized Dido's problem   

2005

[20] A.A. Agrachev, Yu.L. Sachkov, Control theory from the geometric viewpoint   

2004

[19] A.A. Agrachev, Yu. L. Sachkov, Control theory from the geometric viewpoint  
[18] Yu. L. Sachkov, Symmetries of flat rank two distributions and sub-Riemannian Structures  

2003

[17] Yu. L. Sachkov, Exponential map in the generalized Dido problem  

2001

[16] A.A. Agrachev, Yu. L. Sachkov, Optimal control problem for a nonlinear driftless 5-dimensional system with 2 inputs  

2000

[15] Yu. L. Sachkov, Classification of controllable systems on low-dimensional solvable Lie groups  
[14] Yu. L. Sachkov, Controllability of Invariant Systems on Lie Groups and Homogeneous Spaces   

1999

[13] A.A. Agrachev, Yu. L. Sachkov, An Intrinsic Approach to the Control of Rolling Bodies  
[12] Yu. L. Sachkov, Survey on Controllability of Invariant Systems on Solvable Lie Groups  

1998

[11] Yu. L. Sachkov, On Invariant Orthants of Bilinear Systems  

1997

[10] Yu. L. Sachkov, Controllability of Right-Invariant Systems on Solvable Lie Groups  
[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  

1996

[7] Yu. L. Sachkov, Controllability of Hypersurface and Solvable Invariant Systems  

1995

[6] Yu. L. Sachkov, Invariant Orthants of Bilinear Systems
[5] Yu. L. Sachkov, Positive Orthant Controllability of Single-input Bilinear Systems  

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