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Mashtakov Alexey Pavlovich

Publications in Math-Net.Ru

  1. Extremal Trajectories in a Time-Optimal Problem on the Group of Motions of a Plane with Admissible Control in a Circular Sector

    Trudy Mat. Inst. Steklova, 321 (2023),  215–222
  2. Time minimization problem on the group of motions of a plane with admissible control in a half-disc

    Mat. Sb., 213:4 (2022),  100–122
  3. Control of a mobile robot with a trailer based on nilpotent approximation

    Avtomat. i Telemekh., 2021, no. 1,  95–118
  4. On solutions to Fokker–Planck equations

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 178 (2020),  102–111
  5. Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

    Rus. J. Nonlin. Dyn., 16:1 (2020),  195–208
  6. Sub-Riemannian Geometry in Image Processing and Modeling of the Human Visual System

    Rus. J. Nonlin. Dyn., 15:4 (2019),  561–568
  7. Image processing toolkit inspired by mechanisms of human visual perception

    Program Systems: Theory and Applications, 10:4 (2019),  111–139
  8. On the step-$2$ nilpotent $(n, n(n + 1)/2)$ sub-Riemannian structures

    Program Systems: Theory and Applications, 9:4 (2018),  319–360
  9. Existence of global fundamental solution to a class of Fokker–Planck equations

    Program Systems: Theory and Applications, 8:4 (2017),  149–162
  10. Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

    Regul. Chaotic Dyn., 22:8 (2017),  949–954
  11. A cortical based model for contour completion on the retinal sphere

    Program Systems: Theory and Applications, 7:4 (2016),  231–247
  12. Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$

    Regul. Chaotic Dyn., 21:7-8 (2016),  832–839
  13. Algorithms for evaluation position and orientation of UAV

    Program Systems: Theory and Applications, 3:3 (2012),  23–39
  14. Algorithms and Software Solving a Motion Planning Problem for Nonholonomic Five-dimensional Control Systems

    Program Systems: Theory and Applications, 3:1 (2012),  3–29
  15. Asymptotics of extremal curves in the ball rolling problem on the plane

    CMFD, 42 (2011),  158–165
  16. Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane

    Mat. Sb., 202:9 (2011),  97–120
  17. 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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