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Petrov, Nikolai Nikandrovich

Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 33
Presentations: 2

Number of views:
This page:3923
Abstract pages:13124
Full texts:3144
References:702
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.

http://www.mathnet.ru/eng/person32820
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
2021
1. 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
2020
2. 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. 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. Ser. Sovrem. Mat. Pril. Temat. Obz., 186 (2020),  108–115  mathnet
4. 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
2019
5. 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
2018
6. N. N. Petrov, N. V. Petrova, “On the problem of diversifying the ruble”, Izv. IMI UdGU, 51 (2018),  123–135  mathnet  elib
7. 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. (Suppl.), 305, suppl. 1 (2019), S150–S157  isi  scopus
8. 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
2017
9. N. N. Petrov, N. A. Solov'eva, “Problem of group pursuit in linear recurrent differential games”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  81–85  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 230:5 (2018), 732–736  scopus
10. 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
11. 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
2016
12. N. N. Petrov, N. A. Solov'eva, “Multiple capture in Pontryagin's recurrent example”, Avtomat. i Telemekh., 2016, 5,  128–135  mathnet  elib; Autom. Remote Control, 77:5 (2016), 855–861  isi  elib  scopus
2015
13. 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. (Suppl.), 293, suppl. 1 (2016), 174–182  isi  scopus
2014
14. 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, 3,  52–58  mathnet
15. A. S. Bannikov, N. N. Petrov, “Linear non-stationary differential pursuit games with several evaders”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 3,  3–12  mathnet
2013
16. Nikolay N. Petrov, “About the one polynomial game”, Mat. Teor. Igr Pril., 5:3 (2013),  58–71  mathnet
17. 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
2012
18. N. N. Petrov, N. A. Solov'eva, “Group pursuit in the recurrent differential games”, Izv. IMI UdGU, 2012, 1(39),  99–100  mathnet
19. N. N. Petrov, K. A. Shchelchkov, “To the problem of Chernous'ko”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, 4,  62–67  mathnet
2011
20. 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
2010
21. 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
22. 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. (Suppl.), 271, suppl. 1 (2010), S41–S52  isi  scopus
2008
23. N. N. Petrov, “Group pursuit in the class of impulse strategies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2,  111–112  mathnet
2006
24. N. N. Petrov, “The capture of two evaders”, Izv. IMI UdGU, 2006, 3(37),  123–124  mathnet
2005
25. N. N. Petrov, “Conflict controlled processes by interaction of controlled object groups”, Izv. IMI UdGU, 2005, 4(34),  81–102  mathnet
2002
26. N. N. Petrov, “To the problem of group pursuit”, Izv. IMI UdGU, 2002, 2(25),  73–74  mathnet
1997
27. N. N. Petrov, “Ordinary Pursuit of Rigidly Bound Evasions”, Avtomat. i Telemekh., 1997, 12,  89–96  mathnet  mathscinet  zmath; Autom. Remote Control, 58:12 (1997), 1914–1919
1996
28. N. N. Petrov, “On a Group Pursuit Problem”, Avtomat. i Telemekh., 1996, 6,  48–54  mathnet  mathscinet  zmath; Autom. Remote Control, 57:6 (1996), 808–813
1994
29. N. N. Petrov, “On a class of group pursuit problems with phase constraints”, Avtomat. i Telemekh., 1994, 3,  42–49  mathnet  mathscinet  zmath; Autom. Remote Control, 55:3 (1994), 336–341
30. N. N. Petrov, “On certain problems on a group pursuit with phase constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 4,  24–29  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:4 (1994), 21–26
1992
31. N. N. Petrov, “A certain simple pursuit problem with phase constraints”, Avtomat. i Telemekh., 1992, 5,  22–26  mathnet  zmath; Autom. Remote Control, 53:5 (1992), 639–642
1983
32. N. N. Petrov, N. Nikandrovich Petrov, “The “Cossack-robber” differential game”, Differ. Uravn., 19:8 (1983),  1366–1374  mathnet  mathscinet  zmath
1970
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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
40. 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, 4,  146–154  mathnet
41. 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, 4,  142–145  mathnet
2012
42. 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, 3,  157–158  mathnet
2010
43. 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, 3,  3–9  mathnet  elib
44. 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, 1,  133–136  mathnet
2006
45. N. N. Petrov, E. L. Tonkov, S. P. Blinov, D. K. Voronetskaya, V. Ya. Derr, “Lev Isaakovich Tuchinsky”, Vestn. Udmurtsk. Univ. Mat., 2006, 1,  193  mathnet

Presentations in Math-Net.Ru
1. 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   
2. 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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