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Petrov, Nikolai Nikandrovich
Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 48
Presentations: 4

Number of views:
This page:6754
Abstract pages:25382
Full texts:8281
References:2505
Professor
Doctor of physico-mathematical sciences (1986)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 18.12.1953
E-mail: ,
Keywords: pursuer, evader, differential game.
UDC: 519.978, 517.977, 518.9, 519.83
MSC: 90D26

Subject:

Differential game.
   
Main publications:
  • Petrov N. N. "Myagkaya" poimka v primere L. S. Pontryagina so mnogimi uchastnikami // Prikladnaya matematika i mekhanika. 2003. T. 67. Vyp. 5. S. 759–770.
  • Petrov N. N. Mnogokratnaya poimka v primere L. S. Pontryagina s fazovymi ogranicheniyami // Prikladnaya matematika i mekhanika. 1997. T. 61. Vyp. 5. S. 747–754.

https://www.mathnet.ru/eng/person32820
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?spin=1060-5290
https://orcid.org/0000-0002-0303-3559

Publications in Math-Net.Ru Citations
2025
1. N. N. Petrov, E. S. Fomina, “A problem of simple group pursuit with possible dynamical disturbance in dynamics and phase constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 35:1 (2025),  82–95  mathnet  isi
2024
2. N. N. Petrov, “Double capture of coordinated evaders in recurrent differential games”, Izv. IMI UdGU, 63 (2024),  49–60  mathnet
3. E. S. Mozhegova, N. N. Petrov, “Multiple capture of an evader in the linear pursuit problem on timescales”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  217–228  mathnet  elib; Proc. Steklov Inst. Math., 327, suppl. 1 (2024), S215–S225  scopus
4. Elena S. Mozhegova, Nikolai N. Petrov, “A two-fold capture of coordinated evaders in the problem of a simple pursuit on time scales”, Ural Math. J., 10:1 (2024),  112–122  mathnet  elib
5. A. I. Machtakova, N. N. Petrov, “On two problems of pursuit of a group of evaders in differential games with fractional derivatives”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024),  65–79  mathnet 3
2023
6. E. S. Mozhegova, N. N. Petrov, “The differential game “Cossacks–robbers” on time scales”, Izv. IMI UdGU, 62 (2023),  56–70  mathnet  isi 2
7. N. N. Petrov, “Two-time capture of coordinated evaders in a simple pursuit problem”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023),  281–292  mathnet 1
2022
8. N. N. Petrov, E. S. Mozhegova, “On a simple pursuit problem on time scales of two coordinated evaders”, Chelyab. Fiz.-Mat. Zh., 7:3 (2022),  277–286  mathnet  mathscinet 2
9. N. N. Petrov, “On one simple pursuit problem of two rigidly coordinated evaders”, Izv. IMI UdGU, 59 (2022),  55–66  mathnet 1
10. Nikolai N. Petrov, Elena S. Mozhegova, “Simple pursuit problem with phase restrictions of two coordinated evaders on time scales”, Mat. Teor. Igr Pril., 14:4 (2022),  81–95  mathnet  mathscinet 1
11. N. N. Petrov, N. A. Solov'eva, “Problem of multiple capture of given number of evaders in recurrent differential games”, Sib. Èlektron. Mat. Izv., 19:1 (2022),  371–377  mathnet  mathscinet
12. A. I. Machtakova, N. N. Petrov, “On a Linear Group Pursuit Problem with Fractional Derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  129–141  mathnet  elib; Proc. Steklov Inst. Math., 319, suppl. 1 (2022), S175–S187  isi  scopus 2
13. Alena I. Machtakova, Nikolai N. Petrov, “Matrix resolving functions in the linear group pursuit problem with fractional derivatives”, Ural Math. J., 8:1 (2022),  76–89  mathnet  mathscinet  elib 1
14. N. N. Petrov, A. I. Machtakova, “Group pursuit in a problem with fractional derivatives in the class of positional strategies with a guide”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:1 (2022),  94–106  mathnet  mathscinet
2021
15. N. N. Petrov, “On a problem of pursuing a group of evaders in time scales”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  163–171  mathnet  elib 4
16. N. N. Petrov, “Matrix resolving functions in a linear problem of group pursuit with multiple capture”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  185–196  mathnet  elib 3
2020
17. N. N. Petrov, A. I. Machtakova, “Capture of two coordinated evaders in a problem with fractional derivatives, phase restrictions and a simple matrix”, Izv. IMI UdGU, 56 (2020),  50–62  mathnet 3
18. N. N. Petrov, N. A. Solov'eva, “Multiple capture of a given number of evaders in L. S. Pontryagin's recurrent example”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186 (2020),  108–115  mathnet  elib 2
19. N. N. Petrov, “The problem of simple group pursuit with phase constraints in time scales”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:2 (2020),  249–258  mathnet 12
2019
20. N. N. Petrov, A. Ya. Narmanov, “Multiple Capture of a Given Number of Evaders in a Problem with Fractional Derivatives and a Simple Matrix”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  188–199  mathnet  elib; Proc. Steklov Inst. Math., 309, suppl. 1 (2020), S105–S115  isi  scopus 3
2018
21. N. N. Petrov, N. V. Petrova, “On the problem of diversifying the ruble”, Izv. IMI UdGU, 51 (2018),  123–135  mathnet  elib
22. N. N. Petrov, “A multiple capture in a group pursuit problem with fractional derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  156–164  mathnet  elib; Proc. Steklov Inst. Math., 305, suppl. 1 (2019), S150–S157  isi  scopus 7
23. N. N. Petrov, A. Ya. Narmanov, “Multiple capture of a given number of evaders in the problem of a simple pursuit”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:2 (2018),  193–198  mathnet  elib 13
2017
24. N. N. Petrov, N. A. Solov'eva, “Problem of group pursuit in linear recurrent differential games”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  81–85  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 230:5 (2018), 732–736  scopus 6
25. N. N. Petrov, N. A. Solov'eva, “A multiple capture of an evader in linear recursive differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  212–218  mathnet  elib 8
26. N. N. Petrov, “One problem of group pursuit with fractional derivatives and phase constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017),  54–59  mathnet  elib 19
2016
27. N. N. Petrov, N. A. Solov'eva, “Multiple capture in Pontryagin's recurrent example”, Avtomat. i Telemekh., 2016, no. 5,  128–135  mathnet  elib; Autom. Remote Control, 77:5 (2016), 855–861  isi  elib  scopus 8
2015
28. N. N. Petrov, N. A. Solov'eva, “Multiple capture in Pontryagin's recursive example with phase constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  178–186  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293, suppl. 1 (2016), S174–S182  isi  scopus 13
2014
29. N. N. Petrov, K. A. Shchelchkov, “On the interrelation of two linear stationary evasion problems with many evaders”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 3,  52–58  mathnet 1
30. A. S. Bannikov, N. N. Petrov, “Linear non-stationary differential pursuit games with several evaders”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 3,  3–12  mathnet 1
2013
31. Nikolay N. Petrov, “About the one polynomial game”, Mat. Teor. Igr Pril., 5:3 (2013),  58–71  mathnet
32. M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva, “Capture of two cooperative evaders in linear recurrent differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  41–48  mathnet  mathscinet  elib 12
2012
33. N. N. Petrov, N. A. Solov'eva, “Group pursuit in the recurrent differential games”, Izv. IMI UdGU, 2012, no. 1(39),  99–100  mathnet
34. N. N. Petrov, K. A. Shchelchkov, “To the problem of Chernous'ko”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 4,  62–67  mathnet 6
2011
35. Alexander Bannikov, Nikolay Petrov, “About Some Non-Stationary Problems of Group Pursuit with the Simple Matrix”, Contributions to Game Theory and Management, 4 (2011),  47–62  mathnet 1
2010
36. Nikolay N. Petrov, “To the non-stationary problem of the group pursuit with phase restrictions”, Mat. Teor. Igr Pril., 2:4 (2010),  74–83  mathnet; Autom. Remote Control, 75:8 (2014), 1525–1531 15
37. A. S. Bannikov, N. N. Petrov, “On a nonstationary problem of group pursuit”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  40–51  mathnet  elib; Proc. Steklov Inst. Math., 271, suppl. 1 (2010), S41–S52  isi  scopus 40
2008
38. N. N. Petrov, “Group pursuit in the class of impulse strategies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  111–112  mathnet
2006
39. N. N. Petrov, “The capture of two evaders”, Izv. IMI UdGU, 2006, no. 3(37),  123–124  mathnet
2005
40. N. N. Petrov, “Conflict controlled processes by interaction of controlled object groups”, Izv. IMI UdGU, 2005, no. 4(34),  81–102  mathnet 2
2002
41. N. N. Petrov, “To the problem of group pursuit”, Izv. IMI UdGU, 2002, no. 2(25),  73–74  mathnet
1997
42. N. N. Petrov, “Ordinary Pursuit of Rigidly Bound Evasions”, Avtomat. i Telemekh., 1997, no. 12,  89–96  mathnet  mathscinet  zmath; Autom. Remote Control, 58:12 (1997), 1914–1919 14
1996
43. N. N. Petrov, “On a Group Pursuit Problem”, Avtomat. i Telemekh., 1996, no. 6,  48–54  mathnet  mathscinet  zmath; Autom. Remote Control, 57:6 (1996), 808–813 8
1994
44. N. N. Petrov, “On a class of group pursuit problems with phase constraints”, Avtomat. i Telemekh., 1994, no. 3,  42–49  mathnet  mathscinet  zmath; Autom. Remote Control, 55:3 (1994), 336–341 1
45. N. N. Petrov, “On certain problems on a group pursuit with phase constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 4,  24–29  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:4 (1994), 21–26 2
1992
46. N. N. Petrov, “A certain simple pursuit problem with phase constraints”, Avtomat. i Telemekh., 1992, no. 5,  22–26  mathnet  zmath; Autom. Remote Control, 53:5 (1992), 639–642 7
1983
47. N. N. Petrov, N. Nikandrovich Petrov, “The “Cossack-robber” differential game”, Differ. Uravn., 19:8 (1983),  1366–1374  mathnet  mathscinet  zmath 16
1970
48. N. N. Petrov, “A proof of the existence of a value for a pursuit game with restricted time”, Differ. Uravn., 6:5 (1970),  784–797  mathnet  mathscinet  zmath
2019
49. A. A. Gryzlov, V. A. Zaitsev, D. M. Kinzebulatov, N. V. Latypova, V. P. Maksimov, N. N. Petrov, S. N. Popova, V. I. Rodionov, L. I. Rodina, Yu. M. Smetanin, D. L. Fedorov, “Vasilii Yakovlevich Derr. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:4 (2019),  612–617  mathnet
50. A. P. Beltyukov, A. A. Gryzlov, D. V. Dyugurov, V. A. Zaitsev, N. N. Petrov, S. N. Popova, V. I. Rodionov, Yu. M. Smetanin, A. D. Yashin, “Nikolai Nikolaevich Nepeivoda. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019),  295–298  mathnet  zmath  elib
2017
51. A. P. Beltyukov, A. A. Gryzlov, V. Ya. Derr, D. V. Dyugurov, A. I. Karpov, M. A. Klochkov, G. V. Merzlyakova, N. N. Petrov, V. N. Pishkov, S. N. Popova, V. I. Rodionov, “In memory of Galimzyan Gazizovich Islamov (02.02.1948–22.11.2017)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  634–642  mathnet  elib
52. A. A. Gryzlov, V. Ya. Derr, V. A. Zaitsev, N. I. Korobeinikova, N. V. Latypova, I. V. Men'shikov, N. N. Petrov, S. N. Popova, D. L. Fedorov, “Lyudmila Ivanovna Rodina. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017),  146–150  mathnet  elib
2015
53. A. A. Gryzlov, V. Ya. Derr, V. A. Zaitsev, A. I. Karpov, I. V. Men'shikov, N. N. Petrov, L. I. Rodina, “Svetlana Nikolaevna Popova. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015),  596–600  mathnet  elib
54. N. N. Petrov, S. P. Blinov, L. I. Rodina, V. Ya. Derr, “Lev Isaakovich Tuchinskii. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015),  593–595  mathnet  elib
2014
55. I. V. Gaishun, A. A. Gryzlov, V. Ya. Derr, N. A. Izobov, A. I. Karpov, E. K. Makarov, G. V. Merzlyakova, N. N. Petrov, S. N. Popova, L. I. Rodina, N. Kh. Rozov, I. N. Sergeev, A. A. Tolstonogov, V. N. Ushakov, A. G. Chentsov, “In memory of Evgenii Leonidovich Tonkov (27.06.1940–28.09.2014)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  146–154  mathnet
56. A. A. Gryzlov, A. I. Karpov, N. V. Latypova, N. N. Petrov, L. I. Rodina, D. L. Fedorov, “Vasilii Yakovlevich Derr. A tribute in honor of his seventy-fifth birthday”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 4,  142–145  mathnet
2012
57. N. N. Petrov, E. L. Tonkov, V. N. Ushakov, A. G. Chentsov, “In memory of Nikolai Nikolaevich Krasovskii (07.09.1924 – 04.04.2012)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 3,  157–158  mathnet
2010
58. S. D. Buntov, N. I. Leonov, N. N. Petrov, A. V. Borisov, A. A. Gryzlov, V. Ya. Derr, A. I. Karpov, B. P. Kondratyev, S. N. Popova, “Evgenii Leonidovich Tonkov (on his seventieth birthday)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3,  3–9  mathnet  elib 1
59. S. D. Buntov, N. I. Leonov, E. L. Tonkov, N. N. Petrov, A. A. Gryzlov, B. P. Kondratyev, A. I. Karpov, A. V. Borisov, D. L. Fedorov, “Vasilii Yakovlevich Derr. On the anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1,  133–136  mathnet
2006
60. N. N. Petrov, E. L. Tonkov, S. P. Blinov, D. K. Voronetskaya, V. Ya. Derr, “Lev Isaakovich Tuchinsky”, Vestn. Udmurtsk. Univ. Mat., 2006, no. 1,  193  mathnet

Presentations in Math-Net.Ru
1. К задаче группового преследования с дробными производными
A. I. Machtakova, N. N. Petrov

September 22, 2023 15:20
2. On a pursuit problem of two rigidly coordinated evaders in linear recurrent differential games
N. N. Petrov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 9, 2022 15:00   
3. Многократная поимка убегающего в задаче простого преследования с фазовыми ограничениями во временных шкалах
Н. Н. Петров
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 12:15   
4. On a problem of group pursuit with fractional derivatives
N. N. Petrov
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 14:30

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