Persons: Nikol'skii, Mikhail Sergeevich

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Nikol'skii, Mikhail Sergeevich

Total publications:	212 (204)
in MathSciNet:	181 (177)
in zbMATH:	124 (121)
in Web of Science:	57 (55)
in Scopus:	71 (71)
Cited articles:	59
Citations:	244
Presentations:	3

Number of views:
This page:	9046
Abstract pages:	21730
Full texts:	7012
References:	1673

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)


2024
1.	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

2023
2.	M. S. Nikol'skii, “On one correctness problem for minimax”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 275–280
3.	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
4.	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
5.	M. S. Nikolskii, “Research of one minimax model of control”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2022, no. 1, 13–19
6.	M. S. Nikolskii, “On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant”, Differ. Equ., 58 (2022), 1689–1693

2021
7.	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
8.	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
9.	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.
10.	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
11.	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
12.	M. S. Nikol'skii, “About linear multistep control processes”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2020, no. 4, 28–33

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

2020
14.	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
15.	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]
16.	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
17.	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
18.	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
19.	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
20.	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
21.	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	2 ^[x]
22.	M. S. Nikol'skii, “A nonlinear identification problem”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. s1 (2018), 132–136

2017
23.	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
24.	M. S. Nikolskii, “One problem of control by bundle of trajectories”, Moscow Univ. Comput. Math. Cybernet., 41:1 (2017), 18–24

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

2017
26.	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
27.	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
28.	M. S. Nikol'skii, “Optimal production control problem taking into account environmental pollution”, Differ. Equ., 52:3 (2016), 400–404
29.	Mikhail Sergeevich Nikolskii, Aboubacar Moussa, “On the usefulness of cooperation in $N$ person games”, J. Appl. Math., 2016, 9734615 , 5 pp.

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

2016
31.	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
32.	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
33.	M. S. Nikol'skii, “On Some Properties of Nash Equilibrium Points in Two-Person Games”, Proc. Steklov Inst. Math., 291 (2015), 232–236
34.	M. S. Nikol'skii, “Analyzing the Petrosjan-Zakharov game model of atmospheric pollution”, Moscow Univ. Comput. Math. Cybernet., 39:2 (2015), 96–98

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

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

2016
38.	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
39.	M. S. Nikol'skii, M. Aboubacar, “On Benet of Cooperation in Games of Two Players”, Math. Ed., 2014, no. 3(71), 34–40
40.	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
41.	M. S. Nikol'skii, “Numerical method for an approximate solution to Bulgakov's problem”, Moscow Univ. Comput. Math. Cybernet., 37:3 (2013), 97–102
42.	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
43.	M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26

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

2013
45.	M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
46.	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
47.	M. S. Nikol'skii, “On the time-optimal problem for three- and four-dimensional control systems”, Proc. Steklov Inst. Math., 277 (2012), 184–190
48.	M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
49.	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
50.	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
51.	M. S. Nikol'skii, “On controllable variants of the Richardson model in political science”, Proc. Inst. Math. Mech., 275, suppl. 1 (2011), S78–S85
52.	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
53.	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
54.	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
55.	M. S. Nikol'skii, “Some linear problems of control”, Moscow Univ. Comput. Math. Cybernet., 34:1 (2010), 8–15
56.	M. S. Nikol'skii, “On the time-optimality problem for two-dimensional control systems”, Differ. Equ., 46:11 (2010), 1631–1638
57.	M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148

2013
58.	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
59.	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
60.	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
61.	M. S. Nikolskii, “Uproschennaya igrovaya model vzaimodeistviya dvukh gosudarstv”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2009, no. 2, 14–20
62.	M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767
63.	M. S. Nikol'skii, “On a linear problem of tracing a given motion”, Differ. Equ., 45:11 (2009), 1681-1685
64.	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
65.	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
66.	M. S. Nikolskii, “Odno zamechanie otnositelno funktsii tipa maksimum”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2008, no. 2, 30–33
67.	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
68.	M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Proc. Steklov Inst. Math., 262 (2008), 188–193
69.	M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100

2007
70.	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
71.	M. S. Nikol'skiĭ, “On the Stackelberg equilibrium in programmed strategies in linear differential games”, Differ. Equ., 42:12 (2006), 1729–1734

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

2006
73.	M. S. Nikol'skii, “Investigation of some control models”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S140–S149
74.	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
75.	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
76.	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
77.	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
78.	M. S. Nikol'skiĭ, “A very regular optimal control problem”, Differ. Equ., 41:11 (2005), 1602–1608
79.	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
80.	Differ. Equ., 40:11 (2004), 1594–1599
81.	M. S. Nikol'skii, “On difference approximations for some optimization problems”, Comput. Math. Math. Phys., 44:3 (2004), 440–448
82.	Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31
83.	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
84.	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
85.	Differ. Equ., 39:11 (2003), 1603–1608
86.	Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54

2007
87.	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
88.	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
89.	Differ. Equ., 38:11 (2002), 1599–1604
90.	Cybernet. Systems Anal., 38:3 (2002), 439–443
91.	Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)

2001
92.	Differ. Equ., 37:11 (2001), 1589–1596
93.	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
94.	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
95.	Differ. Equ., 36:11 (2000), 1647–1651
96.	Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35

1999
97.	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
98.	Differential Equations, 35:11 (1999), 1508–1511 (2000)
99.	M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249

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

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

1996
106.	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
107.	Differential Equations, 31:11 (1995), 1834–1840 (1996)
108.	Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48
109.	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
110.	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
111.	Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64	2 ^[x]
112.	Differential Equations, 30:11 (1994), 1775–1778 (1995)
113.	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
114.	Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64
115.	V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539

1993
116.	Differential Equations, 29:11 (1993), 1681–1684 (1994)
117.	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
118.	Moscow Univ. Comput. Math. Cybernet., 1993, no. 3, 1–4

1992
119.	Differential Equations, 28:11 (1992), 1632–1635 (1993)
120.	Differential Equations, 28:2 (1992), 190–193
121.	Soviet Math. Dokl., 45:1 (1992), 193–197

1991
122.	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
123.	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
124.	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
125.	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
126.	Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70
127.	M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045

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

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

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

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

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

1988
134.	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
135.	M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68
136.	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
137.	M. S. Nikol'skii, “A minimax control problem”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 187–191
138.	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
139.	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
140.	M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710
141.	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
142.	M. S. Nikol'skiĭ, “A variational problem with a variable structure”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 1, 36–41
143.	M. S. Nikol'skii, “Approximation of the attainability set for a controlled process”, Math. Notes, 41:1 (1987), 44–48

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

1987
145.	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
146.	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
147.	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
148.	M. S. Nikol'skii, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794

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

1982
150.	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]
151.	M. S. Nikol'skiĭ, “A remark on Filippov's lemma”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1982, no. 2, 76–78
152.	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
153.	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
154.	M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Math. USSR-Sb., 44:1 (1983), 125–132

1980
155.	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]
156.	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
157.	M. S. Nikol'skiĭ, “On a class of differential games with fixed time”, Soobshch. Akad. Nauk Gruzin. SSR, 99:2 (1980), 293–296
158.	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
159.	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
160.	M. S. Nikol'skiĭ, “Some differential games with fixed time”, Dokl. Akad. Nauk SSSR, 240:2 (1978), 272–275

1980
161.	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
162.	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
163.	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
164.	M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57
165.	M. S. Nikol'skiĭ, “Differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 30:3 (1975), 31–37
166.	M. S. Nikol'skii, “On a quasilinear escape problem”, Dokl. Akad. Nauk SSSR, 221:3 (1975), 539–542

1974
167.	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
168.	M. S. Nikol'skiĭ, “A method of evasion”, Dokl. Akad. Nauk SSSR, 214 (1974), 287–290
169.	M. S. Nikol'skiĭ, “Nonlinear differential pursuit games”, Kibernetika (Kiev), 1974, no. 2, 125–130
170.	M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1974, no. 12, 103–112, 139
171.	M. S. Nikolskii, “O lineinoi zadache ubeganiya”, Dokl. AN SSSR, 218 (1974), 1024–1027	4 ^[x]

1973
172.	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
173.	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
174.	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
175.	M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94
176.	M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111
177.	M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101

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

1971
186.	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
187.	M. S. Nikol'skiĭ, “Problem of ideal observation of discrete systems”, Automat. Remote Control, 32:4 (1971), 574–577
188.	M. S. Nikol'skiy, “A pursuit problem with incomplete information”, Engrg. Cybernetics, 9:5 (1971), 792–794
189.	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
190.	M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of lags”, Dokl. Akad. Nauk SSSR, 197 (1971), 1018–1021	5 ^[x]
191.	M. S. Nikol'skiĭ, “Pursuit of an incompletely known object”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:1 (1971), 3–8
192.	M. S. Nikol'skii, “Ideally observable systems”, Differ. Uravn., 7:4 (1971), 631–638
193.	M. S. Nikol'skii, “A certain class of nonlinear differential games”, Upravliaemie systemy, 1971, no. 9, 3–12
194.	M. S. Nikol'skii, Upravliaemie systemy, 1971, no. 8, 29–38

1970
195.	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
196.	M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101
197.	M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227	1 ^[x]
198.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 4, 76–83
199.	M. S. Nikol'skii, Upravliaemie systemy, 1970, no. 6, 100–101

1969
200.	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
201.	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
202.	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
203.	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
204.	M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73
205.	M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897	1 ^[x]
206.	P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521	3 ^[x]
207.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 3, 89–100
208.	M. S. Nikol'skii, Upravliaemie systemy, 1969, no. 2, 49–59

1968
209.	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
210.	E. F. Mishchenko, M. S. Nikol'skii, Differ. Uravn., 2:4 (1966), 439–452
211.	M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Theory Probab. Appl., 11:1 (1966), 140–144

1964
212.	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

Registration to the website

Logotypes