Persons: Nikol'skii, Mikhail Sergeevich

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Nikol'skii, Mikhail Sergeevich

Total publications:	218 (210)
in MathSciNet:	181 (177)
in zbMATH:	124 (121)
in Web of Science:	58 (56)
in Scopus:	71 (71)
Cited articles:	59
Citations:	252
Presentations:	3

Number of views:
This page:	9716
Abstract pages:	26613
Full texts:	8628
References:	2228

Professor

Doctor of physico-mathematical sciences (1977)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

Birth date:

12.10.1941

E-mail:

Keywords:

qualitative problems of the theory of optimal control; the theory of differential games.

https://www.mathnet.ru/eng/person17868

List of publications on Google Scholar

https://zbmath.org/authors/ai:nikolskii.mikhail-sergeevich

https://mathscinet.ams.org/mathscinet/MRAuthorID/189990

https://elibrary.ru/author_items.asp?authorid=2654

ISTINA

https://istina.msu.ru/workers/24713796

https://www.webofscience.com/wos/author/record/Q-5443-2016

https://www.scopus.com/authid/detail.url?authorId=55930849600

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


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.	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
15.	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.
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.	M. S. Nikol'skii, “Singular Sets of Extremal Controls in Optimal Control Problems”, Proc. Steklov Inst. Math., 304 (2019), 236–240

2020
20.	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
21.	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	2 ^[x]
22.	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.

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	3 ^[x]
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.	M. S. Nikol'skii, “On the time-optimal problem for three- and four-dimensional control systems”, Proc. Steklov Inst. Math., 277 (2012), 184–190
54.	M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
55.	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
56.	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

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.	M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148

2013
64.	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
65.	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
66.	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

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

2007
76.	M. S. Nikol'skiĭ, “On the continuity of the Bellman function in an optimal control problem with monotone dynamics”, Differ. Equ., 43:11 (2007), 1529–1535

2006
77.	M. S. Nikol'skiĭ, “On the Stackelberg equilibrium in programmed strategies in linear differential games”, Differ. Equ., 42:12 (2006), 1729–1734

2004
78.	M. S. Nikol'skii, “An optimal control problem with the small parameter”, J. Math. Sci. (N. Y.), 121:2 (2004), 2248–2253

2006
79.	M. S. Nikol'skii, “Investigation of some control models”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S140–S149
80.	A. A. Gonchar, S. V. Emel'yanov, V. A. Il'in, V. V. Kozlov, S. K. Korovin, N. N. Krasovskii, A. B. Kurzhanskii, E. F. Mishchenko, E. I. Moiseev, V. A. Sadovnichii, L. D. Faddeev, A. V. Kryazhimskiy, I. V. Gaishun, N. A. Izobov, N. L. Grigorenko, V. I. Maksimov, M. S. Nikol'skii, “Yurii Sergeevich Osipov (a tribute in honor of his seventieth birthday)”, Differ. Equ., 42:7 (2006), 925–931
81.	M. S. Nikol'skiĭ, “On the convergence of a version of the method of successive approximations for solving optimal control problems”, J. Math. Sci. (N. Y.), 139:5 (2006), 6902–6908

2005
82.	M. S. Nikolskii, “O suschestvovanii tochek ravnovesiya po Neshu dlya lineinykh differentsialnykh igr v programmnykh strategiyakh”, Problemy dinamicheskogo upravleniya, 1, Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2005, 222–229
83.	S. N. Avvakumov, Yu. N. Kiselëv, M. S. Nikolskii, M. V. Orlov, “Problems of profit maximization and the identification of the parameters of the Cobb–Douglas production function”, Problemy dinamicheskogo upravleniya, Vyp. 1, Izdatelskii otdel fakulteta VMiK MGU im. M. V. Lomonosova, M., 2005, 4–23
84.	M. S. Nikol'skiĭ, “A very regular optimal control problem”, Differ. Equ., 41:11 (2005), 1602–1608
85.	M. S. Nikol'skiĭ, “On the sufficiency of the Pontryagin maximum principle in some optimization problems”, Moscow Univ. Comput. Math. Cybernet., 2005, no. 1, 29–37

2004
86.	Differ. Equ., 40:11 (2004), 1594–1599
87.	M. S. Nikol'skii, “On difference approximations for some optimization problems”, Comput. Math. Math. Phys., 44:3 (2004), 440–448
88.	Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31
89.	M. S. Nikol'skii, “On the local Lipschitz property of the Bellman function in an optimization problem”, Proc. Inst. Math. Mech., 2004no. , suppl. 2, S115–S125

2007
90.	M. S. Nikol'skii, “Convergence of optimal controls in some optimization problems”, Nonlinear dynamics and control, No. 4, Comput. Math. Model., 18:4 (2007), 420–431

2003
91.	Differ. Equ., 39:11 (2003), 1603–1608
92.	Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54

2007
93.	M. S. Nikol'skii, T. M. Strel'tsova, “An extremum problem in production economics”, Nonlinear dynamics and control. 3, Comput. Math. Model., 18:2 (2007), 192–202
94.	M. S. Nikol'skii, “Convergence of the gradient projection method in optimal control problems”, Nonlinear dynamics and control. 3, Comput. Math. Model., 18:2 (2007), 148–156

2002
95.	Differ. Equ., 38:11 (2002), 1599–1604
96.	Cybernet. Systems Anal., 38:3 (2002), 439–443
97.	Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)

2001
98.	Differ. Equ., 37:11 (2001), 1589–1596
99.	M. S. Nikol'skii, “A small-parameter problem from the theory of boundary-value problems with a small nonlinearity”, Nonlinear dynamics and control, Comput. Math. Model., 12:4 (2001), 369–375	1 ^[x]

2000
100.	M. S. Nikol'skii, M. Aboubacar, “Some estimates of the reachable set for the controlled van der Pol equation”, Proc. Inst. Math. Mech., 2000no. , suppl. 1, S172–S181
101.	Differ. Equ., 36:11 (2000), 1647–1651
102.	Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35

1999
103.	Stepanosov K. V., M. S. Nikol'skiĭ, “On the identification of the coefficients of a linear controlled plant of the second order”, Nonlinear dynamics and control (Russian), Èditor. URSS, Moscow, 1999, 151–157, 285
104.	Differential Equations, 35:11 (1999), 1508–1511 (2000)
105.	M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249

1998
106.	Differential Equations, 34:11 (1998), 1572–1575 (1999)
107.	Moscow Univ. Comput. Math. Cybernet., 1998, no. 3, 14–20 (1999)
108.	Moscow Univ. Comput. Math. Cybernet., 1998, no. 1, 71–73
109.	M. S. Nikol'skii, “On systems of linear integral convolution equations of Volterra type”, Proc. Steklov Inst. Math., 220 (1998), 207–213

1997
110.	Differential Equations, 33:11 (1997), 1563–1565 (1998)
111.	Moscow Univ. Comput. Math. Cybernet., 1997, no. 2, 64–66

1996
112.	M. S. Nikol'skiĭ, “On a problem of realizing a given motion. Flexible systems”, Dokl. Akad. Nauk, 350:6 (1996), 739–741	3 ^[x]

1995
113.	Differential Equations, 31:11 (1995), 1834–1840 (1996)
114.	Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48
115.	M. S. Nikol'skii, “On control problems for linear objects with disturbances in the dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 3, 1995, 132–146
116.	M. S. Nikol'skii, D. B. Silin, “On the best approximation of a convex compact set by elements of addial”, Proc. Steklov Inst. Math., 211 (1995), 306–321

1994
117.	Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64	2 ^[x]
118.	Differential Equations, 30:11 (1994), 1775–1778 (1995)
119.	Nikolski M. S., “Some linear problems of observability: sampling, ideal observability”, Modeling techniques for uncertain systems (Sopron, 1992), Progr. Systems Control Theory, 18, Birkhäuser Boston, Boston, MA, 1994, 131–146
120.	Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64
121.	V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539

1993
122.	Differential Equations, 29:11 (1993), 1681–1684 (1994)
123.	M. S. Nikol'skiĭ, “Local approximation of first order to set-valued mappings”, Set-valued analysis and differential inclusions (Pamporovo, 1990), Progr. Systems Control Theory, 16, Birkhäuser Boston, Boston, MA, 1993, 149–156
124.	Moscow Univ. Comput. Math. Cybernet., 1993, no. 3, 1–4

1992
125.	Differential Equations, 28:11 (1992), 1632–1635 (1993)
126.	Differential Equations, 28:2 (1992), 190–193
127.	Soviet Math. Dokl., 45:1 (1992), 193–197

1991
128.	M. S. Nikol'skiĭ, “Approximate calculation of the reachable set for a differential inclusion”, Problems of analytic mechanics, stability and control of motion (Kazan', 1987), “Nauka” Sibirsk. Otdel., Novosibirsk, 1991, 175–182
129.	M. S. Nikol'skiĭ, “Approximation of continuous multivalued mappings in the uniform (Chebyshev) metric”, Conference on Differential Equations and Applications (Ruse, 1989), Tech. Univ., Ruse, 1991, 366–373
130.	M. S. Nikol'skiĭ, “The direct Pontrjagin methods in the theory of differential games”, Differential games—developments in modelling and computation (Espoo, 1990), Lecture Notes in Control and Inform. Sci., 156, Springer, Berlin, 1991, 67–70
131.	M. S. Nikol'skiĭ, “On the approximation of set-valued mappings in a uniform (Chebyshev) metric”, Nonlinear synthesis (Sopron, 1989), Progr. Systems Control Theory, 9, Birkhäuser Boston, Boston, MA, 1991, 224–231
132.	Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70
133.	M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045

1993
134.	M. S. Nikol'skii, “On the weak convergence of multivalued mappings”, Proc. Steklov Inst. Math., 200 (1993), 287–290

1990
135.	M. S. Nikol'skiĭ, “Approximation of a continuous multivalued mapping by constant multivalued mappings”, Moscow Univ. Comput. Math. Cybernet., 1990, no. 1, 73–76
136.	M. S. Nikol'skiĭ, “Approximation of continuous convex-valued multivalued mappings”, Optimization, 21:2 (1990), 209–214	2 ^[x]

1989
137.	M. S. Nikol'skiĭ, “Directional differentiation of marginal functions”, Kibernetika (Kiev), 1989, no. 5, 126–127

1990
138.	M. S. Nikol'skiĭ, “Approximation of convex-valued continuous multivalued mappings”, Soviet Math. Dokl., 40:2 (1990), 406–409

1989
139.	M. S. Nikol'skiĭ, “The maximum principle in a nonsmooth minimax problem of optimal control”, Soviet Math. Dokl., 39:1 (1989), 69–72

1988
140.	M. S. Nikol'skiĭ, “Variational differential inclusions for a differential equation with a nonsmooth right-hand side”, Lectures in mathematics and its applications, 2, no. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow; Tul'sk. Politekhn. Inst., Tula, 1988, 197–207
141.	M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68
142.	M. S. Nikol'skii, “A method of approximating an attainable set for a differential inclusion”, U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 192–194
143.	M. S. Nikol'skii, “A minimax control problem”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 187–191
144.	M. S. Nikol'skii, “A control problem with breakdowns in the dynamics”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 181–186

1987
145.	A. V. Mezentsev, M. S. Nikol'skiĭ, “A problem on the control of composite systems with a fixed termination time”, Applied methods in nonlinear analysis and control, Moskov. Gos. Univ., Moscow, 1987, 64–71
146.	M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710
147.	M. S. Nikol'skiĭ, “Approximation of the feasibility set for a differential inclusion”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 4, 31–34
148.	M. S. Nikol'skiĭ, “A variational problem with a variable structure”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 1, 36–41
149.	M. S. Nikol'skii, “Approximation of the attainability set for a controlled process”, Math. Notes, 41:1 (1987), 44–48

1986
150.	M. S. Nikol'skii, “The problem of control of a linear system with disturbances”, Dokl. Akad. Nauk SSSR, 287:6 (1986), 1317–1320

1987
151.	M. S. Nikol'skii, “On the lower alternating integral of Pontryagin in linear differential games of pursuit”, Math. USSR-Sb., 56:1 (1987), 33–47

1984
152.	M. S. Nikol'skiĭ, A. Akhmadaliev, “A linear problem of terminal control of composite systems”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1984, no. 1, 71–77

1986
153.	M. S. Nikol'skii, “Well-posedness of an optimal control problem for a linear control system with integral quadratic performance index”, Proc. Steklov Inst. Math., 166 (1986), 197–205

1984
154.	M. S. Nikol'skii, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794

1983
155.	M. S. Nikol'skii, “A direct method of solution of linear differential pursuit-evasion games”, Math. Notes, 33:6 (1983), 455–458

1982
156.	M. S. Nikol'skiĭ, “Approximate computation of the least guaranteed estimate in linear differential games with a fixed duration”, J. Appl. Math. Mech., 46:4 (1982), 550–552 (1983)	2 ^[x]
157.	M. S. Nikol'skiĭ, “A remark on Filippov's lemma”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1982, no. 2, 76–78
158.	M. S. Nikol'skiĭ, “Stroboscopic strategies and the first direct Pontryagin method in quasilinear nonstationary differential pursuit-evasion games”, With a loose English translation, Problems Control Inform. Theory/Problemy Upravlen. Teor. Inform., 11:5 (1982), 373–377
159.	M. S. Nikol'skii, “Construction of piecewise-constant control of pursuit in direct Pontryagin methods”, U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 74–84

1983
160.	M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Math. USSR-Sb., 44:1 (1983), 125–132

1980
161.	E. F. Mishchenko, M. S. Nikol'skiĭ, N. Satimov, “A problem of evading a group of pursuers”, Math. Operationsforsch. Statist. Ser. Optim., 11:4 (1980), 579–591	1 ^[x]
162.	M. S. Nikol'skiĭ, N. Satimov, “A problem of evasion from certain pursuers”, Boundary value problems for equations of mathematical physics, “Fan”, Tashkent, 1980, 133–146
163.	M. S. Nikol'skiĭ, “On a class of differential games with fixed time”, Soobshch. Akad. Nauk Gruzin. SSR, 99:2 (1980), 293–296
164.	M. S. Nikol'skiĭ, “Some computational aspects of Pontrjagin's first direct method in differential games”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1980, no. 4, 27–32

1979
165.	S. P. Berzan, M. S. Nikol'skiĭ, “Optimality of pursuit time in linear differential games”, Contemporary questions of applied mathematics and programming, “Shtiintsa”, Kishinev, 1979, 9–16

1978
166.	M. S. Nikol'skiĭ, “Some differential games with fixed time”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 272–275

1980
167.	E. F. Mishchenko, M. S. Nikol'skii, N. Yu. Satimov, “The problem of avoiding encounter in $n$-person differential games”, Proc. Steklov Inst. Math., 143 (1980), 111–136

1975
168.	M. S. Nikol'skiĭ, “A critical case in the problem of avoiding encounter”, Problems in analytical mechanics, stability and control theories, Second Četaev Conf. (Kazan, 1973), Izdat. “Nauka”, Moscow, 1975, 230–234
169.	M. S. Nikol'skiĭ, “The pursuit problem under various constraints on the control of the pursuer and the evader”, Theory of optimal decisions, Akad. Nauk Ukrain. SSR Inst. Kibernet., Kiev, 1975, 59–66
170.	M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57
171.	M. S. Nikol'skiĭ, “Differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 30:3 (1975), 31–37
172.	M. S. Nikol'skii, “On a quasilinear escape problem”, Dokl. Akad. Nauk SSSR, 221:3 (1975), 539–542

1974
173.	M. S. Nikol'skiĭ, “The linear theory of observability”, Operations research (models, systems, solutions), No. 4, Vyčisl. Centr, Akad. Nauk SSSR, Moscow, 1974, 111–125
174.	M. S. Nikol'skiĭ, “A method of evasion”, Dokl. Akad. Nauk SSSR, 214 (1974), 287–290
175.	M. S. Nikol'skiĭ, “Nonlinear differential pursuit games”, Kibernetika (Kiev), 1974, no. 2, 125–130
176.	M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1974, no. 12, 103–112, 139
177.	M. S. Nikolskii, “O lineinoi zadache ubeganiya”, Dokl. AN SSSR, 218 (1974), 1024–1027	4 ^[x]

1973
178.	M. S. Nikol'skiĭ, “About optimality of time of pursuit”, Fifth Conference on Optimization Techniques (Rome, 1973), Lecture Notes in Comput. Sci., 3, Springer, Berlin, 1973, 202–205
179.	M. S. Nikol'skiĭ, V. I. Uhobotov, “Certain classes of linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 28:5 (1973), 41–47
180.	M. S. Nikol'skiĭ, “The direct methods of L. S. Pontrjagin in differential pursuit games”, Advances in game theory, Proc. Second All-Union Conf. (Vilnius, 1971), Izdat. “Mintis”, Vilnius, 1973, 220–222
181.	M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94
182.	M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111
183.	M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101

1972
184.	M. S. Nikol'skiy, “Application of the first direct method of Pontryagin in pursuit games”, Engrg. Cybernetics, 10:6 (1972), 984–990
185.	Engrg. Cybernetics, 10:3 (1972), 373–377
186.	M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1972, no. 8, 87–100
187.	M. S. Nikol'skiĭ, “Dynamical pursuit games”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 27:4 (1972), 46–52
188.	M. S. Nikol'skiĭ, “Linearizable objects and their application in differential pursuit games”, Dokl. Akad. Nauk SSSR, 205 (1972), 787–790
189.	M. S. Nikolskii, “Pryamoi metod v lineinykh differentsialnykh igrakh s obschimi integralnymi ogranicheniyami”, Differents. uravneniya, 8 (1972), 964–971	7 ^[x]
190.	M. S. Nikol'skii, “A linear differential evasion game in the presence of delays”, Differ. Uravn., 8:2 (1972), 260–267
191.	M. S. Nikol'skiĭ, “Control in the presence of counteraction”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 27:1 (1972), 67–72

1971
192.	M. S. Nikol'skiĭ, “A certain class of nonlinear differential games”, Control systems, 9, Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971, 3–12
193.	M. S. Nikol'skiĭ, “Problem of ideal observation of discrete systems”, Automat. Remote Control, 32:4 (1971), 574–577
194.	M. S. Nikol'skiy, “A pursuit problem with incomplete information”, Engrg. Cybernetics, 9:5 (1971), 792–794
195.	M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:4 (1971), 63–68
196.	M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of lags”, Dokl. Akad. Nauk SSSR, 197 (1971), 1018–1021	5 ^[x]
197.	M. S. Nikol'skiĭ, “Pursuit of an incompletely known object”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:1 (1971), 3–8
198.	M. S. Nikol'skii, “Ideally observable systems”, Differ. Uravn., 7:4 (1971), 631–638
199.	M. S. Nikol'skii, “A certain class of nonlinear differential games”, Upravliaemie systemy, 1971, no. 9, 3–12
200.	M. S. Nikol'skii, Upravliaemie systemy, 1971, no. 8, 29–38

1970
201.	M. S. Nikol'skiĭ, “Differential games with terminal pay-off”, Operations research (models, systems, solutions), No. 1, Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1970, 58–70
202.	M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101
203.	M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227	1 ^[x]
204.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 4, 76–83
205.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 6, 100–101

1969
206.	M. S. Nikol'skiĭ, “A direct method in linear differential games with integral constraints”, Control systems, 2, Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat. Inst. Kataliza, Novosibirsk, 1969, 49–59
207.	P. B. Gusjatnikov, M. S. Nikol'skiĭ, “On the problem of optimality of pursuit time”, Theory of optimal solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1969, 3–21
208.	M. S. Nikol'skiĭ, “An example of a differential pursuit game in which the first input time is insufficient for effecting capture”, Theory of optimal solutions, Proc. Sem. (Kiev, 1969), Akad. Nauk Ukrain. SSR, Kiev, 1969, 57–60
209.	M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Theory of optimal solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1969, 47–52
210.	M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73
211.	M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897	1 ^[x]
212.	P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521	3 ^[x]
213.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 3, 89–100
214.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 2, 49–59

1968
215.	M. S. Nikol'skiĭ, “A certain class of differential games”, Theory of Optimal Solutions, Proc. Sem. (Kiev, 1968), Akad. Nauk Ukrain. SSR, Kiev, 1968, 3–13

1966
216.	E. F. Mishchenko, M. S. Nikol'skii, Differ. Uravn., 2:4 (1966), 439–452
217.	M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Theory Probab. Appl., 11:1 (1966), 140–144

1964
218.	M. S. Nikol'skiǐ, “On the Probability of a Markov Point Falling on a Plane Region with Small Diameter”, Theory Probab. Appl., 9:2 (1964), 320–325

Presentations in Math-Net.Ru

1.	Some problems of minimax control M. S. Nikol’skii International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 13:10
2.	Estimation of the attainable set for some classes of control objects M. S. Nikolskii International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy June 1, 2018 14:30
3.	Some optimal control problems for pencils of trajectories. Existence theorems for optimal control M. S. Nikolskii, E. A. Belyaevskikh International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 16:05

Books in Math-Net.Ru

Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, ed. S. M. Aseev, L. V. Lokutsievskiy, M. S. Nikol'skii, 2021, 304 с.
http://mi.mathnet.ru/book1869
Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 304, ed. R. V. Gamkrelidze, S. M. Aseev, M. S. Nikol'skii, 2019, 328 с.
http://mi.mathnet.ru/book1743

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