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Ardentov, Andrei Andreevich
Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 24
Presentations: 11

Number of views:
This page:1312
Abstract pages:8639
Full texts:3052
References:1121
Candidate of technical sciences
E-mail:

https://www.mathnet.ru/eng/person55670
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:ardentov.a-a

Publications in Math-Net.Ru Citations
2024
1. A. A. Ardentov, “Extremals in the Markov – Dubins Problem with Control on a Triangle”, Rus. J. Nonlin. Dyn., 20:1 (2024),  27–42  mathnet
2023
2. 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  mathnet  mathscinet; Sb. Math., 214:10 (2023), 1351–1372  isi  scopus
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  mathnet  elib; Autom. Remote Control, 82:1 (2021), 73–92  isi  scopus 7
4. 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  mathnet  isi  scopus 6
2020
5. 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  mathnet  zmath  elib; Dokl. Math., 102 (2020), 427–432  isi  scopus 6
2019
6. A. A. Ardentov, “Hidden Maxwell Stratum in Euler's Elastic Problem”, Rus. J. Nonlin. Dyn., 15:4 (2019),  409–414  mathnet  elib  scopus
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  mathnet 4
8. 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  mathnet  isi  scopus 17
9. Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov, “Sub-Finsler Geodesics on the Cartan Group”, Regul. Chaotic Dyn., 24:1 (2019),  36–60  mathnet  isi  scopus 11
10. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 304 (2019), 42–59  isi  scopus 9
2018
11. A. A. Ardentov, “Multiple solutions in Euler's elastic problem”, Avtomat. i Telemekh., 2018, no. 7,  22–40  mathnet  elib; Autom. Remote Control, 79:7 (2018), 1191–1206  isi  scopus 9
12. 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  mathnet  mathscinet  elib; Sb. Math., 209:11 (2018), 1547–1574  isi  scopus 2
2017
13. A. A. Ardentov, A. V. Smirnov, “Controlling a mobile robot along Euler’s elasticae”, Program Systems: Theory and Applications, 8:4 (2017),  163–178  mathnet 3
14. 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  mathnet  isi  scopus 20
2016
15. 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  mathnet  isi  scopus 2
16. Andrey A. Ardentov, “Controlling of a Mobile Robot with a Trailer and Its Nilpotent Approximation”, Regul. Chaotic Dyn., 21:7-8 (2016),  775–791  mathnet  isi  scopus 11
2015
17. 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  mathnet 3
2012
18. 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  mathnet
19. A. A. Ardentov, “Euler's elasticae interface in Mathematica”, Program Systems: Theory and Applications, 3:1 (2012),  31–50  mathnet 1
2011
20. 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  mathnet  mathscinet; Journal of Mathematical Sciences, 199:5 (2014), 481–487  scopus 1
21. 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  mathnet
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  mathnet  mathscinet  zmath  elib; Sb. Math., 202:11 (2011), 1593–1615  isi  scopus 43
2010
23. 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  mathnet 1
2009
24. A. A. Ardentov, Yu. L. Sachkov, “Solution to Euler's elastic problem”, Avtomat. i Telemekh., 2009, no. 4,  78–88  mathnet  mathscinet  zmath  elib; Autom. Remote Control, 70:4 (2009), 633–643  isi  elib  scopus 19

Presentations in Math-Net.Ru
1. Приложения геометрической теории управления в задачах робототехники
A. A. Ardentov
School of Young Mechanics and Mathematicians SYMM 2023
October 4, 2023 13:00   
2. Markov-Dubins problem with control in a triangle
A. A. Ardentov
Geometric Theory of Optimal Control
May 11, 2023 16:45   
3. Optimality of Euler elasticae in the nilpotent sub-Riemannian problems
A. A. Ardentov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 9, 2022 17:30   
4. Optimality of Euler elastica in sub-Riemannian problems on Carnot groups
A. A. Ardentov
Geometric Theory of Optimal Control
December 15, 2021 16:45   
5. Велосипедная математика в субримановых задачах для колёсных роботов
A. A. Ardentov
Geometric Theory of Optimal Control
November 25, 2020 16:45   
6. Кратные решения в задаче Эйлера об эластиках
A. A. Ardentov
Geometric Theory of Optimal Control
November 29, 2017 18:30
7. 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   
8. Nilpotent approximation of a wheel robot with a trailer
A. A. Ardentov
International Conference "Geometric Analysis and Control Theory"
December 8, 2016 14:10   
9. Cut locus in sub - Riemannian problem on the Engel group
A. A. Ardentov
The International Conference "Geometric Control Theory and Analysis on Metric Structures"
August 4, 2014 18:00
10. 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
11. Nilpotent Sub-Riemannian Problem on the Engel Group
Andrey Ardentov
International youth conference "Geometry & Control"
April 15, 2014 13:10   

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