Publications

Andrey A. Ardentov

2018

[21] A. A. Ardentov, Yu. L. Sachkov, Cut Locus in the Sub-Riemannian Problem on Engel Group
[20] А. А. Ардентов, Кратные решения в задаче Эйлера об эластиках
[19] A. A. Ardentov, Tiren Huang, Yu. L. Sachkov, Xiaoping Yang, Extremals in the Engel group with a sub-Lorentzian metric

2017

[18] A. A. Ardentov, A. V. Smirnov, Controlling a mobile robot along Euler’s elasticae  
[17] A. A. Ardentov, Yu. L. Sachkov, Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group  

2016

[16] A. A. Ardentov, Controlling of a Mobile Robot with a Trailer and Its Nilpotent Approximation  
[15] A.P. Mashtakov, A.A. Ardentov, Yu.L. Sachkov, Relation between Euler's Elasticae and Sub-Riemannian Geodesics on SE(2)  

2015

[14] A. A. Ardentov, Yu. L. Sachkov, Cut time in sub-Riemannian problem on Engel group  

2014

[13] A.A. Ardentov, Extremal Paths in the Nilpotent sub-Riemannian Problem on the Engel Group (Subcritical Case of Pendulum Oscillations)  

2013

[12] 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  
[11] A. A. Ardentov, Yu. L. Sachkov, Conjugate points in nilpotent sub-Riemannian problem on the Engel group  

2012

[10] Ю. Л. Сачков, А. А. Ардентов, И. Ю. Бесчастный, А. П. Маштаков, Интерфейс для исследования субримановых геодезических на трехмерных группах Ли
[9] 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  
[8] A. A. Ardentov, Euler's elasticae interface in Mathematica  

2011

[7] A.A. Ardentov, Yu.L. Sachkov, Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group   
[6] A. A. Ardentov, Yu. L. Sachkov, Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry  

2010

[5] Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, Parallel algorithm and software for recovery of isophotes for corrupted images  

2009

[4] Ю. Л. Сачков, А. А. Ардентов, А. П. Маштаков, Конструктивное решение задачи управления на основе метода нильпотентной аппроксимации  
[3] Yu.L. Sachkov, A.A. Ardentov, Parallel algorithms and programs for modelling of euler elasticae
[2] Yu. L. Sachkov, A. A. Ardentov, V. M. Kasimov, A. P. Mashtakov, Reconstruction of images via variational principle
[1] A. A. Ardentov, Yu. L. Sachkov, Solution to Euler’s elastic problem