Publications

Andrey A. Ardentov

Submitted

[38] Ардентов А. А., Артемова Е. М., Анормальные экстремали в субримановой задаче для общей модели робота с прицепом
[37] Andrei Ardentov, Eero Hakavuori, Cut time in the sub-Riemannian problem on the Cartan group  

2021

[36] Andrei Ardentov, Kirill Yefremov, Automatic reparking of the robot trailer along suboptimal paths  
[35] Andrei Ardentov, Ivan Gubanov, Modelling of optimal parking for a wheeled robot  
[34] Andrei Ardentov, Gil Bor, Enrico Le Donne, Richard Montgomery and Yuri Sachkov, Bicycle paths, elasticae and sub-Riemannian geometry  
[33] A.A. Ardentov, L.V. Lokutsievskiy, Yu.L. Sachkov, Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry  
[32] A.A. Ardentov, A.P. Mashtakov, Control of a Mobile Robot with a Trailer Based on Nilpotent Approximation  

2020

[31] Pavol Bozek, Yury L. Karavaev, Andrey A. Ardentov, Kirill S. Yefremov, Neural network control of a wheeled mobile robot based on optimal trajectories  
[30] A.A. Ardentov, L.V. Lokutsievskiy, Y.L. Sachkov, Explicit Solutions for a Series of Optimization Problems with 2-Dimensional Control via Convex Trigonometry

2019

[29] A. A. Ardentov, Yu. L. Karavaev, K. S. Yefremov, Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization
[28] A. A. Ardentov, I. S. Gubanov, Modeling of car parking along Markov–Dubins and Reeds–Shepp paths  
[27] A. A. Ardentov, Hidden Maxwell Stratum in Euler's Elastic Problem  
[26] Ардентов А.А., Сачков Ю.Л., Субфинслеровы структуры на группе Энгеля  
[25] Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov, Sub-Finsler Geodesics on the Cartan Group  
[24] Ардентов А.А., Сачков Ю.Л., Субфинслерова задача на группе Картана  
[23] Ардентов А.А., Э. Ле Донне, Сачков Ю.Л., Экстремальные траектории в субфинслеровой задаче на группе Картана  

2018

[22] А. А. Ардентов, Ю. Л. Сачков, Т. Хуанг, К. Янг, “Экстремальные траектории в сублоренцевой задаче на группе Энгеля”  
[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