| Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group AA Ardentov, YL Sachkov Sbornik: Mathematics 202 (11), 1593, 2011 | 72 | 2011 |
| Conjugate points in nilpotent sub-Riemannian problem on the Engel group AA Ardentov, YL Sachkov Journal of Mathematical Sciences 195 (3), 369-390, 2013 | 66 | 2013 |
| Neural network control of a wheeled mobile robot based on optimal trajectories P Bozek, YL Karavaev, AA Ardentov, KS Yefremov International journal of advanced robotic systems 17 (2), 1729881420916077, 2020 | 63 | 2020 |
| Cut time in sub-Riemannian problem on Engel group AA Ardentov, YL Sachkov ESAIM: Control, Optimisation and Calculus of Variations 21 (4), 958-988, 2015 | 60 | 2015 |
| Parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations AP Mashtakov, AA Ardentov, YL Sachkov Numerical Mathematics: Theory, Methods and Applications 6 (1), 95-115, 2013 | 55 | 2013 |
| Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group AA Ardentov, YL Sachkov Regular and Chaotic Dynamics 22 (8), 909-936, 2017 | 38 | 2017 |
| Sub-Finsler geodesics on the Cartan group AA Ardentov, E Le Donne, YL Sachkov Regular and Chaotic Dynamics 24 (1), 36-60, 2019 | 29 | 2019 |
| Bicycle paths, elasticae and sub-Riemannian geometry A Ardentov, G Bor, E Le Donne, R Montgomery, Y Sachkov Nonlinearity 34 (7), 4661, 2021 | 28 | 2021 |
| Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization AA Ardentov, YL Karavaev, KS Yefremov Regular and Chaotic Dynamics 24 (3), 312-328, 2019 | 28 | 2019 |
| Solution to Euler’s elastic problem AA Ardentov, YL Sachkov Automation and Remote Control 70 (4), 633-643, 2009 | 26 | 2009 |
| Cut time in the sub-Riemannian problem on the Cartan group A Ardentov, E Hakavuori ESAIM: Control, Optimisation and Calculus of Variations 28, 12, 2022 | 23 | 2022 |
| A sub-Finsler problem on the Cartan group AA Ardentov, E Le Donne, YL Sachkov Proceedings of the Steklov Institute of Mathematics 304 (1), 42-59, 2019 | 21 | 2019 |
| Algorithms for evaluation position and orientation of UAV AA Ardentov, IY Beschastnyi, AP Mashtakov, AY Popov, YL Sachkov, ... Program systems: Theory and applications 3 (3), 23-39, 2012 | 18 | 2012 |
| Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry AA Ardentov, LV Lokutsievskiy, YL Sachkov ESAIM: Control, Optimisation and Calculus of Variations 27, 32, 2021 | 17 | 2021 |
| Controlling of a mobile robot with a trailer and its nilpotent approximation AA Ardentov Regular and Chaotic Dynamics 21 (7), 775-791, 2016 | 17* | 2016 |
| Multiple solutions in Euler’s elastic problem AA Ardentov Automation and remote control 79 (7), 1191-1206, 2018 | 14 | 2018 |
| Sachkov Yu. L AA Ardentov L.: Inpainting via sub-Riemannian minimizers on the rototranslations group …, 2017 | 10 | 2017 |
| Sub-Finsler structures on the Engel group AA Ardentov, YL Sachkov Doklady mathematics 99 (2), 171-174, 2019 | 7 | 2019 |
| Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry AA Ardentov, LV Lokutsievskiy, YL Sachkov Doklady Mathematics 102 (2), 427-432, 2020 | 6 | 2020 |
| Modeling of car parking along Markov–Dubins and Reeds–Shepp paths AA Ardentov, IS Gubanov Program Systems: Theory and Applications 10 (4), 97-110, 2019 | 6 | 2019 |
