Persons: Nikol'skii Mikhail Sergeevich, List of publications

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Nikol'skii Mikhail Sergeevich

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2025
1.	M. S. Nikol'skii, “On a problem of control of trajectory bundles”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 35:1 (2025), 75–81
2.	M. S. Nikol'skii, “On the dependence of the attainable set of linear controlled objects on disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 31, no. 2, 2025, 155–161

2024
3.	M. S. Nikol'skii, “On the continuity of the optimal time as a function of the initial state for linear controlled objects with integral constraints on controls”, Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S147–S154
4.	M. S. Nikolskii, “O nepreryvnosti vremeni optimalnogo bystrodeistviya v lineinykh zadachakh optimalnogo bystrodeistviya”, Tezisy dokladov mezhd. konferentsii «Sistemnyi analiz: modelirovanie i upravlenie», Moskva, 2024, 85–86
5.	M. S. Nikolskii, “Lineinye upravlyaemye ob'ekty s integralnymi ogranicheniyami na upravleniya”, Tezisy nauchn. konferentsii «Lomonosovskie chteniya–2024», MGU, Moskva, 2024, 145
6.	M. S. Nikolskii, “Ob odnoi minimaksnoi zadache upravleniya puchkami traektorii”, Tezisy nauchn. konferentsii «Tikhonovskie chteniya–2024», MGU, Moskva, 2024, 66
7.	M. S. Nikol'skii, Prikl. Mat. Inform., 76, 2024, 15–23

2023
8.	M. S. Nikol'skii, “On one correctness problem for minimax”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 275–280
9.	M. S. Nikol'skii, “About continuity of optimal control time as the function of initial state for linear controlled objects”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2023, no. 2, 31–38
10.	M. S. Nikol'skii, “For the question about continuity of optimal control time as the function of initial state for controlled system”, Prikl. Mat. Inform., 72, 2023, 16–22

2022
11.	M. S. Nikolskii, “Research of one minimax model of control”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2022, no. 1, 13–19
12.	M. S. Nikolskii, “On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant”, Differ. Equ., 58 (2022), 1689–1693

2021
13.	M. S. Nikol'skii, “Linear controlled objects with state constraints. Approximate calculation of reachable sets”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S219–S224
14.	Optimalnoe upravlenie i differentsialnye igry, Sbornik statei, Trudy MIAN, 315, ed. S. M. Aseev, L. V. Lokutsievskii, M. S. Nikolskii, MIAN, M., 2021 , 304 pp.
15.	M. S. Nikolskii, “One minimization problem connected with spread of trajectories of controlled object”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2021, no. 3, 26–30
16.	M. S. Nikol'skii, “On the maximal guaranteed payoff in some problems of conflict control of multistep processes”, Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), 169–174

2020
17.	M. S. Nikolskii, “Lineinye upravlyaemye ob'ekty s fazovymi ogranicheniyami. Priblizhennoe vychislenie mnozhestv dostizhimosti”, Teoriya upravleniya i teoriya obobschennykh reshenii uravnenii Gamiltona–Yakobi, Materialy 3–go Mezhdunarodnogo seminara, posvyaschennogo 75–letiyu akademika A. I. Subbotina (26–30 oktyabrya 2020), 2020, 240–242 http://cgs20.imm.uran.ru/cgs15/NikolskiiMS.pdf
18.	M. S. Nikol'skii, “About linear multistep control processes”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2020, no. 4, 28–33

2019
19.	Optimalnoe upravlenie i differentsialnye uravneniya, Sbornik statei. K 110-letiyu so dnya rozhdeniya akademika Lva Semenovicha Pontryagina, Trudy MIAN, 304, ed. R. V. Gamkrelidze, S. M. Aseev, M. S. Nikolskii, MIAN, M., 2019 , 328 pp.
20.	M. S. Nikol'skii, “Singular Sets of Extremal Controls in Optimal Control Problems”, Proc. Steklov Inst. Math., 304 (2019), 236–240

2020
21.	M. S. Nikol'skii, “Estimation of reachable sets from above with respect to inclusion for some nonlinear control systems”, Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), 98–104

2019
22.	M. S. Nikolskii, “Ob otsenivanii mnozhestv dostizhimosti upravlyaemykh ob'ektov”, Sovremennye problemy matematiki i mekhaniki, Materialy mezhdunarodnoi konferentsii, posvyaschennoi 80–letiyu akademika V. A. Sadovnichego, MAKS Press, M., 2019, 769–771

2018
23.	M. S. Nikolskii, E. A. Belyaevskikh, “L. S. Pontryagin maximum principle for some optimal control problems by trajectories pencils”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 14:1 (2018), 59–68
24.	M. S. Nikolskii, “Ob otsenivanii mnozhestva dostizhimosti dlya nekotorykh klassov upravlyaemykh ob'ektov”, Materialy Mezhd. konferentsii, posvyaschennoi pamyati akademika A. V. Kryazhimskogo, Moskva, 2018, 71–74 http://www.mathnet.ru/present20596
25.	M.S.Nikolskii, “O probleme otsenivaniya mnozhestva dostizhimosti nelineinogo upravlyaemogo ob'ekta”, Materialy Mezhd. konferentsii, posvyaschennoi 90-letiyu akademika V. A. Ilina, Moskva, 2018, 169–170
26.	M. S. Nikolskii, “A Coordinate-Wise Estimate of the Reachability Set of a Controlled System”, Moscow Univ. Comput. Math. Cybernet., 42:2 (2018), 80–84
27.	M. S. Nikolskii, “Ob otsenivanii mnozhestva dostizhimosti dlya nekotorykh upravlyaemykh ob'ektov”, Materialy mezhd. konferentsii «Optimalnoe upravlenie i differentsialnye igry», posvyaschennoi 110–letiyu so dnya rozhdeniya L. S. Pontryagina (Moskva, 12–14 dekabrya 2018 g.), 2018, 194–196
28.	M. S. Nikol'skii, “A nonlinear identification problem”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. s1 (2018), 132–136

2017
29.	M. S. Nikolskii, E. A. Belyaevskikh, “Existence theorems for optimal control in some problems of trajectories bundles control”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 13:1 (2017), 113–118
30.	M. S. Nikolskii, “One problem of control by bundle of trajectories”, Moscow Univ. Comput. Math. Cybernet., 41:1 (2017), 18–24

2018
31.	M. S. Nikol'skii, “$S$-regular controlled plants”, Comput. Math. Model., 29:1 (2018), 120–126

2017
32.	M. S. Nikolskii, “Issledovanie odnoi optimizatsionnoi zadachi razrabotki karerov”, Problemy dinamicheskogo upravleniya, Sb. Nauchnykh trudov fakulteta VMK MGU im. M. V. Lomonosova, v. 8, 2017, 144–150
33.	M. S. Nikol'skii, “A study of the generalized Pontryagin test example from the theory of differential games”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 158–164

2016
34.	M. S. Nikol'skii, “Optimal production control problem taking into account environmental pollution”, Differ. Equ., 52:3 (2016), 400–404
35.	Mikhail Sergeevich Nikolskii, Aboubacar Moussa, “On the usefulness of cooperation in $N$ person games”, J. Appl. Math., 2016, 9734615 , 5 pp.

2017
36.	M. S. Nikol'skii, “A Control Problem with a Partially Known Initial Condition”, Comput. Math. Model., 28:1 (2017), 12–17

2016
37.	M. S. Nikol'skii, M. Aboubacar, “On the usefulness of cooperation in three-person games”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 148–155

2015
38.	M. S. Nikolskii, A. Moussa, “The study of the set of Nash equilibrium points for one two-players game with quadratic payoff functions”, Yugosl. J. Oper. Res., 25:2 (2015), 291–297
39.	M. S. Nikol'skii, “On Some Properties of Nash Equilibrium Points in Two-Person Games”, Proc. Steklov Inst. Math., 291 (2015), 232–236
40.	M. S. Nikol'skii, “Analyzing the Petrosjan-Zakharov game model of atmospheric pollution”, Moscow Univ. Comput. Math. Cybernet., 39:2 (2015), 96–98

2016
41.	M. S. Nikol'skii, “Optimal control of aggregate production allowing for environmental pollution”, Comput. Math. Model., 27:1 (2016), 139–143

2014
42.	M. S. Nikol'skii, “On a size-structured population dynamics model”, Differ. Equ., 50:1 (2014), 132–134
43.	M. S. Nikol'skii, “Approximate calculation of Nash equilibria for two-person games”, Moscow Univ. Comput. Math. Cybernet., 38:2 (2014), 54–58

2016
44.	M. S. Nikol'skii, “Study of an optimal control problem related to the Solow control model”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 231–237

2014
45.	M. S. Nikol'skii, M. Aboubacar, “On Benet of Cooperation in Games of Two Players”, Math. Ed., 2014, no. 3(71), 34–40
46.	M. S. Nikol'skii, M. Aboubacar, “On Computing Nash Equilibtium Points for a Game on a Square of Two Players with Quadratic Payo Function”, Math. Ed., 2014, no. 1(69), 36–41

2013
47.	M. S. Nikol'skii, “Numerical method for an approximate solution to Bulgakov's problem”, Moscow Univ. Comput. Math. Cybernet., 37:3 (2013), 97–102
48.	M. S. Nikolskii, M. Aboubacar, “An estimation from within of reachable set of nonlinear R. Brockett integrator with small nonlinearity”, Yugosl. J. Oper. Res., 23:3 (2013), 355–365
49.	M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26

2014
50.	M. S. Nikol'skii, “One model of size-structured population dynamics”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 128–133

2013
51.	M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
52.	M. S. Nikolskii, A. A. Molchanov, “Issledovanie odnoi upravlyaemoi modeli, svyazannoi s lecheniem, khronicheskogo mieloleikoza”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 265–276

2012
53.	D. V. Anosov, S. M. Aseev, R. V. Gamkrelidze, S. P. Konovalov, M. S. Nikol'skii, N. Kh. Rozov, “Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth)”, Russian Math. Surveys, 67:2 (2012), 385–402
54.	M. S. Nikol'skii, “On the time-optimal problem for three- and four-dimensional control systems”, Proc. Steklov Inst. Math., 277 (2012), 184–190
55.	M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
56.	A. A. Molchanov, M. S. Nikolskii, “Issledovanie odnoi upravlyaemoi modeli, svyazannoi s lecheniem khronicheskogo mieloleikoza”, Matematicheskaya biologiya i bioinformatika, Sbornik dokladov konferentsii “Matematicheskaya biologiya i bioinformatika” (Puschino, 14–19 oktyabrya 2012 g.), 2012, 131–132

2011
57.	M. S. Nikol'skii, “On controllable variants of the Richardson model in political science”, Proc. Inst. Math. Mech., 275, suppl. 1 (2011), S78–S85
58.	M. S. Nikol'skii, “On an optimal control problem associated with the general “predator-prey” model of A. D. Bazykin”, Differ. Equ., 47:11 (2011), 1660–1667

2010
59.	Mikhail S. Nikolskii, “About the time-optimal problem for one class of two-dimensional bilinear controlled systems”, Mat. Teor. Igr Pril., 2:3 (2010), 7–20
60.	M. S. Nikol'skii, “Linear problem of tracking a given motion under an integral constraint on control”, Proc. Steklov Inst. Math., 271 (2010), 171–176
61.	M. S. Nikol'skii, “Some linear problems of control”, Moscow Univ. Comput. Math. Cybernet., 34:1 (2010), 8–15
62.	M. S. Nikol'skii, “On the time-optimality problem for two-dimensional control systems”, Differ. Equ., 46:11 (2010), 1631–1638
63.	Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2
64.	M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148

2013
65.	A. V. Kryazhimskii, S. P. Konovalov, M. S. Nikol’skii, “A Simplified Model of Tax Collection from Enterprises in the Presence of Legal and Shadow Capital”, Computational Mathematics and Modeling, 24:3 (2013), 378–403

2010
66.	M. S. Nikolskii, “O releinosti optimalnogo po bystrodeistviyu upravleniya dlya nekotorykh dvumernykh upravlyaemykh ob'ektov”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 5, 2010, 180–189

2009
67.	M. S. Nikolskii, “Uproschennaya igrovaya model vzaimodeistviya dvukh gosudarstv”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2009, no. 2, 14–20
68.	M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767
69.	M. S. Nikol'skii, “On a linear problem of tracing a given motion”, Differ. Equ., 45:11 (2009), 1681-1685
70.	M. S. Nikolskii, “Nekotorye zadachi optimalnogo upravleniya, svyazannye s modelyu L. Richardsona vooruzhenii gosudarstv”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 4, 2009, 113–123

2013
71.	A. V. Kryazhimskiy, S. P. Konovalov, M. S. Nikol'skii, “A simplified model of tax collection from enterprises in the presence of legal and shadow capital”, Comput. Math. Model., 24:3 (2013), 378–403

2008
72.	M. S. Nikolskii, “Odno zamechanie otnositelno funktsii tipa maksimum”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2008, no. 2, 30–33
73.	M. S. Nikolskii, “About estimations of number of switching points for time optimal control in linear case and N. Levinson's problem”, Differentsialnye uravneniya i topologiya, Mezhdunarodnaya konferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya L. S. Pontryagina: Tezisy dokladov (17–22 iyunya, Moskva), Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2008, 274
74.	M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Proc. Steklov Inst. Math., 262 (2008), 188–193
75.	M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100

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