Ardentov Andrei Andreevich

Publications in Math-Net.Ru

1. Extremals in the Markov – Dubins Problem with Control on a Triangle
   
   Rus. J. Nonlin. Dyn., 20:1 (2024),  27–42
2. Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer
   
   Mat. Sb., 214:10 (2023),  3–24
3. Control of a mobile robot with a trailer based on nilpotent approximation
   
   Avtomat. i Telemekh., 2021, no. 1,  95–118
4. Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry
   
   ESAIM: COCV, 27 (2021),  32–52
5. 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
6. Hidden Maxwell Stratum in Euler's Elastic Problem
   
   Rus. J. Nonlin. Dyn., 15:4 (2019),  409–414
7. Modeling of car parking along Markov–Dubins and Reeds–Shepp paths
   
   Program Systems: Theory and Applications, 10:4 (2019),  97–110
8. 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
9. Sub-Finsler Geodesics on the Cartan Group
   
   Regul. Chaotic Dyn., 24:1 (2019),  36–60
10. A Sub-Finsler Problem on the Cartan Group
    
    Trudy Mat. Inst. Steklova, 304 (2019),  49–67
11. Multiple solutions in Euler's elastic problem
    
    Avtomat. i Telemekh., 2018, no. 7,  22–40
12. Extremal trajectories in the sub-Lorentzian problem on the Engel group
    
    Mat. Sb., 209:11 (2018),  3–31
13. Controlling a mobile robot along Euler’s elasticae
    
    Program Systems: Theory and Applications, 8:4 (2017),  163–178
14. Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group
    
    Regul. Chaotic Dyn., 22:8 (2017),  909–936
15. Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$
    
    Regul. Chaotic Dyn., 21:7-8 (2016),  832–839
16. Controlling of a Mobile Robot with a Trailer and Its Nilpotent Approximation
    
    Regul. Chaotic Dyn., 21:7-8 (2016),  775–791
17. The architecture of the system for spacecraft state monitoring and forecasting
    
    Program Systems: Theory and Applications, 6:2 (2015),  85–99
18. Algorithms for evaluation position and orientation of UAV
    
    Program Systems: Theory and Applications, 3:3 (2012),  23–39
19. Euler's elasticae interface in Mathematica
    
    Program Systems: Theory and Applications, 3:1 (2012),  31–50
20. Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)
    
    CMFD, 42 (2011),  30–35
21. Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry
    
    Program Systems: Theory and Applications, 2:4 (2011),  3–15
22. Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
    
    Mat. Sb., 202:11 (2011),  31–54
23. Parallel algorithm and software for recovery of isophotes for corrupted images
    
    Program Systems: Theory and Applications, 1:1 (2010),  3–20
24. Solution to Euler's elastic problem
    
    Avtomat. i Telemekh., 2009, no. 4,  78–88