A. A. Ardentov, E. M. Artemova, “Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer”, Mat. Sb., 214:10 (2023), 3–24; Sb. Math., 214:10 (2023), 1351–1372
2021
3.
A. A. Ardentov, A. P. Mashtakov, “Control of a mobile robot with a trailer based on nilpotent approximation”, Avtomat. i Telemekh., 2021, no. 1, 95–118; Autom. Remote Control, 82:1 (2021), 73–92
A. A. Ardentov, L. V. Lokutsievskiy, Yu. L. Sachkov, “Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry”, ESAIM: COCV, 27 (2021), 32–52
A. A. Ardentov, L. V. Lokutsievskiy, Yu. L. Sachkov, “Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 86–92; Dokl. Math., 102 (2020), 427–432
A. A. Ardentov, “Hidden Maxwell Stratum in Euler's Elastic Problem”, Rus. J. Nonlin. Dyn., 15:4 (2019), 409–414
7.
A. A. Ardentov, I. S. Gubanov, “Modeling of car parking along Markov–Dubins and Reeds–Shepp paths”, Program Systems: Theory and Applications, 10:4 (2019), 97–110
Andrey A. Ardentov, Yury L. Karavaev, Kirill S. Yefremov, “Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization”, Regul. Chaotic Dyn., 24:3 (2019), 312–328
A. A. Ardentov, E. Le Donne, Yu. L. Sachkov, “A Sub-Finsler Problem on the Cartan Group”, Trudy Mat. Inst. Steklova, 304 (2019), 49–67; Proc. Steklov Inst. Math., 304 (2019), 42–59
A. A. Ardentov, Yu. L. Sachkov, T. Huang, X. Yang, “Extremal trajectories in the sub-Lorentzian problem on the Engel group”, Mat. Sb., 209:11 (2018), 3–31; Sb. Math., 209:11 (2018), 1547–1574
Andrei A. Ardentov, Yuri L. Sachkov, “Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group”, Regul. Chaotic Dyn., 22:8 (2017), 909–936
Alexey Mashtakov, Andrei Ardentov, Yuri L. Sachkov, “Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$”, Regul. Chaotic Dyn., 21:7-8 (2016), 832–839
N. S. Abramov, A. A. Ardentov, Yu. G. Emeljanova, A. A. Talalaev, V. P. Fralenko, O. G. Shishkin, “The architecture of the system for spacecraft state monitoring and forecasting”, Program Systems: Theory and Applications, 6:2 (2015), 85–99
A. A. Ardentov, I. Yu. Beschatny, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova, “Algorithms for evaluation position and orientation of UAV”, Program Systems: Theory and Applications, 3:3 (2012), 23–39
19.
A. A. Ardentov, “Euler's elasticae interface in Mathematica”, Program Systems: Theory and Applications, 3:1 (2012), 31–50
A. A. Ardentov, “Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)”, CMFD, 42 (2011), 30–35; Journal of Mathematical Sciences, 199:5 (2014), 481–487
A. A. Ardentov, Yu. L. Sachkov, “Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry”, Program Systems: Theory and Applications, 2:4 (2011), 3–15
22.
A. A. Ardentov, Yu. L. Sachkov, “Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group”, Mat. Sb., 202:11 (2011), 31–54; Sb. Math., 202:11 (2011), 1593–1615
Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, “Parallel algorithm and software for recovery of isophotes for corrupted images”, Program Systems: Theory and Applications, 1:1 (2010), 3–20
A. A. Ardentov, Yu. L. Sachkov, “Solution to Euler's elastic problem”, Avtomat. i Telemekh., 2009, no. 4, 78–88; Autom. Remote Control, 70:4 (2009), 633–643
Cut locus in sub-Riemannian problem on the Engel group A. A. Ardentov, Yu. L. Sachkov International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 1, 2017 15:00
Sub-Riemannian problem on the Engel group A. A. Ardentov, Yu. L. Sachkov International Conference on Differential Equations and Dynamical Systems July 7, 2014 16:10
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