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Lebedev, Pavel Dmitrievich
Statistics Math-Net.Ru
Total publications: 61
Scientific articles: 61
Presentations: 1

Number of views:
This page:3926
Abstract pages:18867
Full texts:6078
References:2785
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person44329
List of publications on Google Scholar
https://zbmath.org/authors/ai:lebedev.p-d
https://mathscinet.ams.org/mathscinet/MRAuthorID/847632
https://elibrary.ru/author_items.asp?spin=5197-4313
https://orcid.org/0000-0002-1693-3476

Publications in Math-Net.Ru Citations
2024
1. P. D. Lebedev, A. A. Uspenskii, “Newton's method in constructing a singular set of a minimax solution in a class of boundary value problems for the Hamilton — Jacobi equations”, Chelyab. Fiz.-Mat. Zh., 9:1 (2024),  63–76  mathnet
2. P. D. Lebedev, A. A. Uspenskii, “On smoothness conditions and selection of the edge of a scattering surface in one class of 3D time-optimal problems”, Izv. IMI UdGU, 63 (2024),  37–48  mathnet
3. P. D. Lebedev, A. A. Uspenskii, “Numerical-analytical construction of a generalized solution of the eikonal equation in the plane case”, Mat. Sb., 215:9 (2024),  99–124  mathnet
4. A. A. Lempert, P. D. Lebedev, D. Nguyen, “On the problem of covering spherical figures with equal spherical caps”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024),  142–155  mathnet  elib
5. A. A. Uspenskii, P. D. Lebedev, “Alpha sets and their hulls: analytical relationships in the plane case”, Russian Universities Reports. Mathematics, 29:146 (2024),  204–217  mathnet
2023
6. Pavel D. Lebedev, Krasimir L. Stoychin, “Algorithms for constructing optimal covering of planar figures with disks sets of linearly different radii”, Bulletin of Irkutsk State University. Series Mathematics, 46 (2023),  35–50  mathnet 2
7. P. D. Lebedev, O. A. Kuvshinov, “Algorithms for constructing suboptimal coverings of plane figures with disks in the class of regular lattices”, Izv. IMI UdGU, 61 (2023),  76–93  mathnet 1
2022
8. P. D. Lebedev, A. A. Lempert, A. L. Kazakov, “Algorithms of optimal covering of 2D sets with dynamical metrics”, Izv. IMI UdGU, 60 (2022),  58–72  mathnet 1
9. Pavel D. Lebedev, Alexander A. Uspenskii, “Combined algorithms for constructing a solution to the time-optimal problem in three-dimensional space based on the selection of extreme points of the scattering surface”, Ural Math. J., 8:2 (2022),  115–126  mathnet  mathscinet  elib 1
2021
10. P. D. Lebedev, A. A. Uspenskii, V. N. Ushakov, “Iterative algorithms for minimizing the Hausdorff distance between convex polyhedrons”, Izv. IMI UdGU, 57 (2021),  142–155  mathnet
11. P. D. Lebedev, A. A. Uspenskii, “On the analytical construction of solutions for one class of time-optimal control problems with nonconvex target set”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  128–140  mathnet  elib 2
12. P. D. Lebedev, A. L. Kazakov, “Iterative algorithms for constructing the thinnest coverings of convex polyhedra by sets of different balls”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  116–129  mathnet  elib
13. A. A. Uspenskii, P. D. Lebedev, “On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set”, Ufimsk. Mat. Zh., 13:3 (2021),  129–154  mathnet; Ufa Math. J., 13:3 (2021), 126–151  isi  scopus 2
14. A. A. Uspenskii, P. D. Lebedev, “On the structure of the singular set of solutions in one class of 3D time-optimal control problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:3 (2021),  471–486  mathnet  elib 2
2020
15. P. D. Lebedev, A. A. Uspenskii, V. N. Ushakov, “Algorithms of minimization of Hausdorff deviation of a convex compact from a set of movable convex polygons”, Chelyab. Fiz.-Mat. Zh., 5:2 (2020),  218–232  mathnet 1
16. P. D. Lebedev, V. N. Ushakov, A. A. Uspenskii, “Numerical methods for constructing suboptimal packings of nonconvex domains with curved boundary”, Diskretn. Anal. Issled. Oper., 27:4 (2020),  58–79  mathnet; J. Appl. Industr. Math., 14:4 (2020), 681–692  scopus 3
17. A. L. Kazakov, P. D. Lebedev, A. A. Lempert, “On covering bounded sets by collections of circles of various radii”, Bulletin of Irkutsk State University. Series Mathematics, 31 (2020),  18–33  mathnet  isi 1
18. P. D. Lebedev, A. A. Uspenskii, “Construction of scattering curves in one class of time-optimal control problems with leaps of a target set boundary curvature”, Izv. IMI UdGU, 55 (2020),  93–112  mathnet 4
19. A. A. Uspenskii, P. D. Lebedev, “Properties of non stationer pseudo vertex with the break of smoothness of the target set boarder curvature in the Dirichlet problem to eikonal type equation”, Sib. Èlektron. Mat. Izv., 17 (2020),  2028–2044  mathnet 1
20. P. D. Lebedev, A. L. Kazakov, A. A. Lempert, “Numerical methods for the construction of packings of different balls into convex compact sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  173–187  mathnet  elib
21. P. D. Lebedev, A. A. Uspenskii, “Elements of analytical solutions constructor in a class of time-optimal control problems with the break of curvature of a target set”, Russian Universities Reports. Mathematics, 25:132 (2020),  370–386  mathnet 1
2019
22. P. D. Lebedev, A. A. Uspenskii, “Algorithms for solving the velocity problem with circular vectogram in inhomogeneous medium”, Chelyab. Fiz.-Mat. Zh., 4:4 (2019),  387–397  mathnet  elib
23. P. D. Lebedev, “Iterative methods for approximations constructing of optimal covering for nonconvex plane sets”, Chelyab. Fiz.-Mat. Zh., 4:1 (2019),  5–17  mathnet  elib 4
24. P. D. Lebedev, A. A. Uspenskii, “Construction of a solution to a velocity problem in the case of violation of the smoothness of the curvature of the target set boundary”, Izv. IMI UdGU, 53 (2019),  98–114  mathnet  elib 6
25. P. D. Lebedev, A. L. Kazakov, “Construction of optimal covers by disks of different radii for convex planar sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  137–148  mathnet  elib 2
26. P. D. Lebedev, A. A. Uspenskii, “Construction of a nonsmooth solution in a time-optimal problem with a low order of smoothness of the boundary of the target set”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  108–119  mathnet  elib 9
2018
27. P. D. Lebedev, N. G. Lavrov, “Algorithms of optimal ball packing into ellipsoids”, Izv. IMI UdGU, 52 (2018),  59–74  mathnet  elib 4
28. P. D. Lebedev, A. L. Kazakov, “Iterative methods for the construction of planar packings of circles of different size”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  141–151  mathnet  elib 2
29. A. A. Uspenskii, P. D. Lebedev, “Euclidean distance to a closed set as a minimax solution of the Dirichlet problem for the Hamilton-Jacobi equation”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018),  797–804  mathnet  elib
30. A. A. Uspenskii, P. D. Lebedev, “Identification of the singularity of the generalized solution of the Dirichlet problem for an eikonal type equation under the conditions of minimal smoothness of a boundary set”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018),  59–73  mathnet  elib 11
2017
31. A. L. Kazakov, P. D. Lebedev, “Algorithms for constructing optimal $n$-networks in metric spaces”, Avtomat. i Telemekh., 2017, no. 7,  141–155  mathnet  mathscinet  elib; Autom. Remote Control, 78:7 (2017), 1290–1301  isi  scopus 11
32. V. N. Ushakov, P. D. Lebedev, “Iterative methods for minimization of the Hausdorff distance between movable polygons”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017),  86–97  mathnet  elib 3
33. V. N. Ushakov, P. D. Lebedev, N. G. Lavrov, “Algorithms of optimal packing construction in ellipse”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017),  67–79  mathnet  elib 6
34. A. A. Krasovskii, P. D. Lebedev, A. M. Tarasyev, “Bernoulli substitution in the Ramsey model: Optimal trajectories under control constraints”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  768–782  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 770–783  isi  scopus 1
2016
35. A. A. Krasovskii, P. D. Lebedev, A. M. Tarasyev, “Some facts about the Ramsey model”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016),  160–168  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 123–131  isi  scopus
36. P. D. Lebedev, A. A. Uspenskii, “Construction of the optimal result function and dispersing lines in time-optimal problems with a nonconvex target set”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  188–198  mathnet  mathscinet  elib 5
37. A. A. Uspenskii, P. D. Lebedev, “The construction of singular curves for generalized solutions of eikonal-type equations with a curvature break in the boundary of the boundary set”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  282–293  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 191–202  isi  scopus 5
38. V. N. Ushakov, P. D. Lebedev, “Algorithms of optimal set covering on the planar $\mathbb{R}^2 $”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:2 (2016),  258–270  mathnet  mathscinet  elib 6
2015
39. V. N. Ushakov, P. D. Lebedev, “Algorithms for the construction of an optimal cover for sets in three-dimensional Euclidean space”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  276–288  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 225–237  isi  scopus 6
40. A. L. Kazakov, P. D. Lebedev, “Algorithms of optimal packing construction for planar compact sets”, Num. Meth. Prog., 16:2 (2015),  307–317  mathnet 7
2014
41. V. N. Ushakov, A. S. Lakhtin, P. D. Lebedev, “Optimization of the Hausdorff distance between sets in Euclidean space”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  291–308  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 222–238  isi  scopus 13
2013
42. P. D. Lebedev, D. S. Bukharov, “Approximation of polygons with the best set of circles”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013),  72–87  mathnet 2
43. A. A. Uspenskii, P. D. Lebedev, P. A. Vasev, “Approximation of nonsmooth optimal result in one class of velocity problems”, Vestnik Chelyabinsk. Gos. Univ., 2013, no. 16,  71–77  mathnet
44. V. N. Ushakov, A. A. Uspenskiy, P. D. Lebedev, “Geometry of singular curves for one class of velocity”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 3,  157–167  mathnet 11
45. P. D. Lebedev, A. A. Uspenskii, V. N. Ushakov, “Algorithms of the best approximations of the flat sets by the union of circles”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4,  88–99  mathnet 6
46. P. D. Lebedev, V. N. Ushakov, “A variant of a metric for unbounded convex sets”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013),  40–49  mathnet 2
2012
47. P. D. Lebedev, A. V. Ushakov, “Approximating sets on a plane with optimal sets of circles”, Avtomat. i Telemekh., 2012, no. 3,  79–90  mathnet; Autom. Remote Control, 73:3 (2012), 485–493  isi  scopus 10
48. A. R. Matviychuk, P. D. Lebedev, A. V. Ushakov, “On approximate construction of controlled system reachable sets on finite time interval”, Izv. IMI UdGU, 2012, no. 1(39),  94  mathnet
49. V. N. Ushakov, P. D. Lebedev, A. R. Matviychuk, A. G. Malev, “Differential games with fixed terminal time and estimation of the instability degree of sets in these games”, Trudy Mat. Inst. Steklova, 277 (2012),  275–287  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 266–277  isi  elib  scopus 4
2010
50. A. A. Uspenskii, P. D. Lebedev, “On the set of limit values of local diffeomorphisms in wavefront evolution”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  171–185  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S255–S270  isi  scopus 16
51. V. N. Ushakov, A. R. Matviychuk, P. D. Lebedev, “Defect of stability in game-pursuit problem”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3,  87–103  mathnet  elib 10
52. A. A. Uspenskii, P. D. Lebedev, “Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3,  30–41  mathnet 2
2009
53. A. A. Uspenskii, P. D. Lebedev, “Construction of the optimal outcome function for a time-optimal problem on the basis of a symmetry set”, Avtomat. i Telemekh., 2009, no. 7,  50–57  mathnet  mathscinet  zmath  elib; Autom. Remote Control, 70:7 (2009), 1132–1139  isi  elib  scopus 21
54. V. N. Ushakov, Kh. G. Guseinov, Ya. A. Latushkin, P. D. Lebedev, “On the coincidence of maximal stable bridges in two approach game problems for stationary control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  219–240  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S240–S263  isi  scopus 7
55. P. D. Lebedev, A. A. Uspenskii, “Procedures for calculating the nonconvexity measures of a plane set”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  431–440  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 49:3 (2009), 418–427  isi  elib  scopus 8
2008
56. P. D. Lebedev, A. A. Uspenskii, “Geometry and the asymptotics of wave forms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 3,  27–37  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 52:3 (2008), 24–33 22
57. P. D. Lebedev, A. A. Uspenskii, “Условия трансверсальности ветвей решения нелинейного уравнения в задаче быстродействия с круговой индикатрисой”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:4 (2008),  82–99  mathnet  elib 12
58. P. D. Lebedev, A. A. Uspenskii, V. N. Ushakov, “Construction of a minimax solution for an eikonal-type equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:2 (2008),  182–191  mathnet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 263, suppl. 2 (2008), S191–S201  isi  scopus 33
59. A. A. Uspenskii, P. D. Lebedev, “Construction of the function of the best result for the system with simple dynamic”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  152–154  mathnet  elib 1
2007
60. P. D. Lebedev, “Вычисление меры невыпуклости плоских множеств”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:3 (2007),  84–94  mathnet  elib 3
2006
61. P. D. Lebedev, A. A. Uspenskii, “On the geometry of wave fronts”, Izv. IMI UdGU, 2006, no. 3(37),  79–80  mathnet 2

Presentations in Math-Net.Ru
1. Элементы аналитического конструктора решений в классе задач управления с целевым множеством с разрывной кривизной границы (20 мин)
П. Д. Лебедев, А. А. Успенский
International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information Technologies of Derzhavin Tambov State University
October 13, 2020 16:25   

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