Persons: Nikol'skii, Mikhail Sergeevich

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Nikol'skii, Mikhail Sergeevich

Statistics
in MathSciNet:	181 (177)
in zbMATH:	124 (121)
in Web of Science:	58 (56)
in Scopus:	71 (71)

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
3.	E. R. Avakov, A. A. Agrachev, S. M. Aseev, G. K. Giorgadze, A. A. Davydov, M. I. Zelikin, V. V. Kozlov, L. V. Lokutsievskiy, M. S. Nikol'skii, A. V. Ovchinnikov, Yu. S. Osipov, A. V. Sarychev, Yu. L. Sachkov, D. V. Treschev, “Revaz Valer'yanovich Gamkrelidze”, Uspekhi Mat. Nauk, 80:5(485) (2025), 175–178

2024
4.	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
5.	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
6.	M. S. Nikolskii, “Lineinye upravlyaemye ob'ekty s integralnymi ogranicheniyami na upravleniya”, Tezisy nauchn. konferentsii «Lomonosovskie chteniya–2024», MGU, Moskva, 2024, 145
7.	M. S. Nikolskii, “Ob odnoi minimaksnoi zadache upravleniya puchkami traektorii”, Tezisy nauchn. konferentsii «Tikhonovskie chteniya–2024», MGU, Moskva, 2024, 66
8.	M. S. Nikol'skii, Prikl. Mat. Inform., 76, 2024, 15–23

2023
9.	M. S. Nikol'skii, “On one correctness problem for minimax”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 275–280
10.	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
11.	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
12.	M. S. Nikolskii, “Research of one minimax model of control”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2022, no. 1, 13–19
13.	M. S. Nikolskii, “On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant”, Differ. Equ., 58 (2022), 1689–1693

2021
14.	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
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.	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.
17.	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
18.	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
19.	M. S. Nikol'skii, “About linear multistep control processes”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2020, no. 4, 28–33

2019
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	2 ^[x]
23.	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
24.	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
25.	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
26.	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
27.	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
28.	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]
29.	M. S. Nikol'skii, “A nonlinear identification problem”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. s1 (2018), 132–136

2017
30.	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
31.	M. S. Nikolskii, “One problem of control by bundle of trajectories”, Moscow Univ. Comput. Math. Cybernet., 41:1 (2017), 18–24

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

2017
33.	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
34.	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
35.	M. S. Nikol'skii, “Optimal production control problem taking into account environmental pollution”, Differ. Equ., 52:3 (2016), 400–404
36.	Mikhail Sergeevich Nikolskii, Aboubacar Moussa, “On the usefulness of cooperation in $N$ person games”, J. Appl. Math., 2016, 9734615 , 5 pp.

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

2016
38.	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
39.	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
40.	M. S. Nikol'skii, “On Some Properties of Nash Equilibrium Points in Two-Person Games”, Proc. Steklov Inst. Math., 291 (2015), 232–236
41.	M. S. Nikol'skii, “Analyzing the Petrosjan-Zakharov game model of atmospheric pollution”, Moscow Univ. Comput. Math. Cybernet., 39:2 (2015), 96–98

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

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

2016
45.	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
46.	M. S. Nikol'skii, M. Aboubacar, “On Benet of Cooperation in Games of Two Players”, Math. Ed., 2014, no. 3(71), 34–40
47.	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
48.	M. S. Nikol'skii, “Numerical method for an approximate solution to Bulgakov's problem”, Moscow Univ. Comput. Math. Cybernet., 37:3 (2013), 97–102
49.	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
50.	M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26

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

2013
52.	M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
53.	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
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
57.	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
58.	M. S. Nikol'skii, “On controllable variants of the Richardson model in political science”, Proc. Inst. Math. Mech., 275, suppl. 1 (2011), S78–S85
59.	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
60.	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
61.	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
62.	M. S. Nikol'skii, “Some linear problems of control”, Moscow Univ. Comput. Math. Cybernet., 34:1 (2010), 8–15
63.	M. S. Nikol'skii, “On the time-optimality problem for two-dimensional control systems”, Differ. Equ., 46:11 (2010), 1631–1638
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
67.	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
68.	M. S. Nikolskii, “Uproschennaya igrovaya model vzaimodeistviya dvukh gosudarstv”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2009, no. 2, 14–20
69.	M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767
70.	M. S. Nikol'skii, “On a linear problem of tracing a given motion”, Differ. Equ., 45:11 (2009), 1681-1685
71.	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
72.	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
73.	M. S. Nikolskii, “Odno zamechanie otnositelno funktsii tipa maksimum”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2008, no. 2, 30–33
74.	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
75.	M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Proc. Steklov Inst. Math., 262 (2008), 188–193
76.	M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100

2007
77.	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
78.	M. S. Nikol'skiĭ, “On the Stackelberg equilibrium in programmed strategies in linear differential games”, Differ. Equ., 42:12 (2006), 1729–1734

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

2006
80.	M. S. Nikol'skii, “Investigation of some control models”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S140–S149
81.	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
82.	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
83.	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
84.	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
85.	M. S. Nikol'skiĭ, “A very regular optimal control problem”, Differ. Equ., 41:11 (2005), 1602–1608
86.	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
87.	Differ. Equ., 40:11 (2004), 1594–1599
88.	M. S. Nikol'skii, “On difference approximations for some optimization problems”, Comput. Math. Math. Phys., 44:3 (2004), 440–448
89.	Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31
90.	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
91.	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
92.	Differ. Equ., 39:11 (2003), 1603–1608
93.	Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54

2007
94.	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
95.	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
96.	Differ. Equ., 38:11 (2002), 1599–1604
97.	Cybernet. Systems Anal., 38:3 (2002), 439–443
98.	Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)

2001
99.	Differ. Equ., 37:11 (2001), 1589–1596
100.	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
101.	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
102.	Differ. Equ., 36:11 (2000), 1647–1651
103.	Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35

1999
104.	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
105.	Differential Equations, 35:11 (1999), 1508–1511 (2000)
106.	M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249

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

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

1996
113.	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
114.	Differential Equations, 31:11 (1995), 1834–1840 (1996)
115.	Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48
116.	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
117.	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
118.	Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64	2 ^[x]
119.	Differential Equations, 30:11 (1994), 1775–1778 (1995)
120.	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
121.	Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64
122.	V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539

1993
123.	Differential Equations, 29:11 (1993), 1681–1684 (1994)
124.	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
125.	Moscow Univ. Comput. Math. Cybernet., 1993, no. 3, 1–4

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

1991
129.	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
130.	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
131.	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
132.	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
133.	Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70
134.	M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045

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

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

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

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

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

1988
141.	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
142.	M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68
143.	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
144.	M. S. Nikol'skii, “A minimax control problem”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 187–191
145.	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
146.	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
147.	M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710
148.	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
149.	M. S. Nikol'skiĭ, “A variational problem with a variable structure”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 1, 36–41
150.	M. S. Nikol'skii, “Approximation of the attainability set for a controlled process”, Math. Notes, 41:1 (1987), 44–48

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

1987
152.	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
153.	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
154.	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
155.	M. S. Nikol'skii, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794

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

1982
157.	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]
158.	M. S. Nikol'skiĭ, “A remark on Filippov's lemma”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1982, no. 2, 76–78
159.	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
160.	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
161.	M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Math. USSR-Sb., 44:1 (1983), 125–132

1980
162.	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]
163.	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
164.	M. S. Nikol'skiĭ, “On a class of differential games with fixed time”, Soobshch. Akad. Nauk Gruzin. SSR, 99:2 (1980), 293–296
165.	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
166.	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
167.	M. S. Nikol'skiĭ, “Some differential games with fixed time”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 272–275

1980
168.	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
169.	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
170.	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
171.	M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57
172.	M. S. Nikol'skiĭ, “Differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 30:3 (1975), 31–37
173.	M. S. Nikol'skii, “On a quasilinear escape problem”, Dokl. Akad. Nauk SSSR, 221:3 (1975), 539–542

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

1973
179.	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
180.	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
181.	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
182.	M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94
183.	M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111
184.	M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101

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

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

1970
202.	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
203.	M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101
204.	M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227	1 ^[x]
205.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 4, 76–83
206.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 6, 100–101

1969
207.	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
208.	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
209.	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
210.	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
211.	M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73
212.	M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897	1 ^[x]
213.	P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521	3 ^[x]
214.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 3, 89–100
215.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 2, 49–59

1968
216.	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
217.	E. F. Mishchenko, M. S. Nikol'skii, Differ. Uravn., 2:4 (1966), 439–452
218.	M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Theory Probab. Appl., 11:1 (1966), 140–144

1964
219.	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

Organisations