| Publications in Math-Net.Ru |
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2019 |
| 1. |
A. A. Ardentov, “Hidden Maxwell Stratum in Euler's Elastic Problem”, Nelin. Dinam., 15:4 (2019), 409–414  |
| 2. |
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 |
| 3. |
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   |
| 4. |
Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov, “Sub-Finsler Geodesics on the Cartan Group”, Regul. Chaotic Dyn., 24:1 (2019), 36–60 |
| 5. |
A. A. Ardentov, E. Le Donne, Yu. L. Sachkov, “A Sub-Finsler Problem on the Cartan Group”, Tr. Mat. Inst. Steklova, 304 (2019), 49–67  ; Proc. Steklov Inst. Math., 304 (2019), 42–59 |
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2018 |
| 6. |
A. A. Ardentov, “Multiple solutions in Euler's elastic problem”, Avtomat. i Telemekh., 2018, 7, 22–40 ; Autom. Remote Control, 79:7 (2018), 1191–1206 |
| 7. |
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 |
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2017 |
| 8. |
A. A. Ardentov, A. V. Smirnov, “Controlling a mobile robot along Euler’s elasticae”, Program Systems: Theory and Applications, 8:4 (2017), 163–178 |
| 9. |
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 |
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2016 |
| 10. |
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 |
| 11. |
Andrey A. Ardentov, “Controlling of a Mobile Robot with a Trailer and Its Nilpotent Approximation”, Regul. Chaotic Dyn., 21:7-8 (2016), 775–791 |
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2015 |
| 12. |
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 |
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2012 |
| 13. |
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 |
| 14. |
A. A. Ardentov, “Euler's elasticae interface in Mathematica”, Program Systems: Theory and Applications, 3:1 (2012), 31–50 |
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2011 |
| 15. |
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 |
| 16. |
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 |
| 17. |
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 |
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2010 |
| 18. |
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 |
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2009 |
| 19. |
A. A. Ardentov, Yu. L. Sachkov, “Solution to Euler's elastic problem”, Avtomat. i Telemekh., 2009, 4, 78–88 ; Autom. Remote Control, 70:4 (2009), 633–643 |
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