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Petrov, Nikolai Nikandrovich

Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 32
Presentations: 2

Number of views:
This page:3774
Abstract pages:12853
Full texts:3050
References:689
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
2020
1. 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
2. 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
3. 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
4. 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
5. N. N. Petrov, N. V. Petrova, “On the problem of diversifying the ruble”, Izv. IMI UdGU, 51 (2018),  123–135  mathnet  elib
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. Nikolay N. Petrov, “About the one polynomial game”, Mat. Teor. Igr Pril., 5:3 (2013),  58–71  mathnet
16. 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
17. N. N. Petrov, N. A. Solov'eva, “Group pursuit in the recurrent differential games”, Izv. IMI UdGU, 2012, 1(39),  99–100  mathnet
18. 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
19. 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
20. 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
21. 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
22. N. N. Petrov, “Group pursuit in the class of impulse strategies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2,  111–112  mathnet
2006
23. N. N. Petrov, “The capture of two evaders”, Izv. IMI UdGU, 2006, 3(37),  123–124  mathnet
2005
24. N. N. Petrov, “Conflict controlled processes by interaction of controlled object groups”, Izv. IMI UdGU, 2005, 4(34),  81–102  mathnet
2002
25. N. N. Petrov, “To the problem of group pursuit”, Izv. IMI UdGU, 2002, 2(25),  73–74  mathnet
1997
26. 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
27. 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
28. 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
29. 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
30. 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
31. N. N. Petrov, N. Nikandrovich Petrov, “The “Cossack-robber” differential game”, Differ. Uravn., 19:8 (1983),  1366–1374  mathnet  mathscinet  zmath
1970
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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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