Sachkov Yurii Leonidovich

Publications in Math-Net.Ru

1. Curvature and isometries of the Lorentzian Lobachevsky plane
   
   Uspekhi Mat. Nauk, 79:1(475) (2024),  185–186
2. Lorentzian Geometry on the Lobachevsky Plane
   
   Mat. Zametki, 114:1 (2023),  154–157
3. Sub-Lorentzian Problem on the Heisenberg Group
   
   Mat. Zametki, 113:1 (2023),  154–157
4. Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$
   
   Rus. J. Nonlin. Dyn., 19:4 (2023),  559–573
5. Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions
   
   Uspekhi Mat. Nauk, 78:1(469) (2023),  67–166
6. Abnormal Trajectories in the Sub-Riemannian $(2,3,5,8)$ Problem
   
   Trudy Mat. Inst. Steklova, 321 (2023),  252–285
7. 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
8. Sub-Riemannian Cartan sphere
   
   Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  66–70
9. Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions
   
   Uspekhi Mat. Nauk, 77:1(463) (2022),  109–176
10. Sub-Riemannian Engel sphere
    
    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  97–101
11. Sub-riemannian (2, 3, 5, 6)-structures
    
    Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  73–78
12. Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry
    
    ESAIM: COCV, 27 (2021),  32–52
13. An Abnormal Set for the $(2,3,5,8)$-Distribution
    
    Mat. Zametki, 109:2 (2021),  318–320
14. Carnot Algebras and Sub-Riemannian Structures with Growth Vector (2,$\,$3,$\,$5,$\,$6)
    
    Trudy Mat. Inst. Steklova, 315 (2021),  237–246
15. 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
16. Periodic time-optimal controls on two-step free-nilpotent Lie groups
    
    Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  108–111
17. Coadjoint Orbits and Time-Optimal Problems for Step-$2$ Free Nilpotent Lie Groups
    
    Mat. Zametki, 108:6 (2020),  899–910
18. Conjugate Points in the Generalized Dido Problem
    
    Mat. Zametki, 108:5 (2020),  796–798
19. Optimal Bang-Bang Trajectories in Sub-Finsler Problems on the Engel Group
    
    Rus. J. Nonlin. Dyn., 16:2 (2020),  355–367
20. Periodic Controls in Step 2 Strictly Convex Sub-Finsler Problems
    
    Regul. Chaotic Dyn., 25:1 (2020),  33–39
21. The structure of abnormal extremals in a sub-Riemannian problem with growth vector $(2, 3, 5, 8)$
    
    Mat. Sb., 211:10 (2020),  112–138
22. Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)
    
    Rus. J. Nonlin. Dyn., 15:4 (2019),  577–585
23. Sub-Finsler Geodesics on the Cartan Group
    
    Regul. Chaotic Dyn., 24:1 (2019),  36–60
24. A Sub-Finsler Problem on the Cartan Group
    
    Trudy Mat. Inst. Steklova, 304 (2019),  49–67
25. Two-side bound of a root of an equation containing complete elliptic integrals
    
    Program Systems: Theory and Applications, 9:4 (2018),  253–264
26. Extremal trajectories in the sub-Lorentzian problem on the Engel group
    
    Mat. Sb., 209:11 (2018),  3–31
27. Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater
    
    Mat. Sb., 209:5 (2018),  74–119
28. Liouville nonintegrability of sub-Riemannian problems on free Carnot groups of step 4
    
    Dokl. Akad. Nauk, 474:1 (2017),  19–21
29. Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector $(2, 3, 5, 8)$
    
    Differ. Uravn., 53:3 (2017),  362–374
30. Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group
    
    Regul. Chaotic Dyn., 22:8 (2017),  909–936
31. Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$
    
    Regul. Chaotic Dyn., 21:7-8 (2016),  832–839
32. Geodesics in the sub-Riemannian problem on the group $\mathrm{SO}(3)$
    
    Mat. Sb., 207:7 (2016),  29–56
33. On the free Carnot (2,3,5,8) group
    
    Program Systems: Theory and Applications, 6:2 (2015),  45–61
34. Algorithms for evaluation position and orientation of UAV
    
    Program Systems: Theory and Applications, 3:3 (2012),  23–39
35. Closed Euler elasticae
    
    Trudy Mat. Inst. Steklova, 278 (2012),  227–241
36. Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry
    
    Program Systems: Theory and Applications, 2:4 (2011),  3–15
37. Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
    
    Mat. Sb., 202:11 (2011),  31–54
38. 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
39. Parallel algorithm and software for recovery of isophotes for corrupted images
    
    Program Systems: Theory and Applications, 1:1 (2010),  3–20
40. Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane
    
    Mat. Sb., 201:7 (2010),  99–120
41. Stability of inflectional elasticae centered at vertices or inflection points
    
    Trudy Mat. Inst. Steklova, 271 (2010),  187–203
42. Solution to Euler's elastic problem
    
    Avtomat. i Telemekh., 2009, no. 4,  78–88
43. Representation and realization of the generalized solutions of the unlimited-locus controllable systems
    
    Avtomat. i Telemekh., 2008, no. 4,  72–80
44. Control theory on Lie groups
    
    CMFD, 27 (2008),  5–59
45. Complete description of the Maxwell strata in the generalized Dido problem
    
    Mat. Sb., 197:6 (2006),  111–160
46. The Maxwell set in the generalized Dido problem
    
    Mat. Sb., 197:4 (2006),  123–150
47. Discrete symmetries in the generalized Dido problem
    
    Mat. Sb., 197:2 (2006),  95–116
48. Exponential map in the generalized Dido problem
    
    Mat. Sb., 194:9 (2003),  63–90
49. Invariant orthants of bilinear systems
    
    Differ. Uravn., 31:6 (1995),  1094–1095
50. Positive orthant scalar controllability of bilinear systems
    
    Mat. Zametki, 58:3 (1995),  419–424
51. Controllability of two- and three-dimensional bilinear systems in the positive orthant
    
    Differ. Uravn., 29:2 (1993),  361–363
52. Invariant domains of three-dimensional bilinear systems
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 4,  23–26
53. Controllability of three-dimensional bilinear systems
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 3,  26–30


54. Optimal Bang-Bang Trajectories in Sub-Finsler Problem on the Cartan Group
    
    Nelin. Dinam., 14:4 (2018),  583–593
55. Generalized Solutions in Control Problems (International Symposium GSCP-2002, Pereslavl-Zalesskii, August, 27–31, 2002)
    
    Differ. Uravn., 39:8 (2003),  1140–1143