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Nikol'skii Mikhail Sergeevich

Total publications: 181
Scientific articles: 176
in MathSciNet: 159
in zbMATH: 113
in Web of Science: 45
in Scopus: 54
Cited articles: 62
Citations in Math-Net.Ru: 102
Citations in MathSciNet (by Sep 2017): 86
Citations in Web of Science: 12
Citations in Scopus: 15
Presentations: 1

Number of views:
This page:3810
Abstract pages:5992
Full texts:1614
References:489
Nikol'skii Mikhail Sergeevich
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.

http://www.mathnet.ru/eng/person17868
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:nikolskii.mikhail-sergeevich
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Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2017
1. M. S. Nikol'skii, “A nonlinear identification problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 206–211  mathnet  crossref  elib
2. 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  mathnet  crossref  elib
3. M. S. Nikolskii, “One problem of control by bundle of trajectories”, Moscow Univ. Comput. Math. Cybernet., 41:1 (2017), 18–24  mathnet  crossref  elib  elib  scopus

   2016
4. M. S. Nikol'skii, “A study of the generalized Pontryagin test example from the theory of differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 211–217  mathnet  crossref  mathscinet  elib
5. M. S. Nikol'skii, “Optimal production control problem taking into account environmental pollution”, Differ. Equ., 52:3 (2016), 400–404  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
6. Mikhail Sergeevich Nikolskii, Aboubacar Moussa, “On the usefulness of cooperation in $N$ person games”, J. Appl. Math., 2016, 9734615 , 5 pp.  mathnet  crossref  mathscinet  scopus

   2015
7. M. S. Nikolskii, M. Abubakar, “O poleznosti kooperatsii v igrakh trekh lits”, Tr. IMM UrO RAN, 21, no. 2, 2015, 160–167  mathnet  mathscinet  zmath  elib; 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  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
8. 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  mathnet  crossref  mathscinet  isi  elib
9. M. S. Nikol'skii, “On Some Properties of Nash Equilibrium Points in Two-Person Games”, Proc. Steklov Inst. Math., 291 (2015), 232–236  mathnet  crossref  crossref  isi  elib  scopus
10. M. S. Nikol'skii, “Analyzing the Petrosjan-Zakharov game model of atmospheric pollution”, Moscow Univ. Comput. Math. Cybernet., 39:2 (2015), 96–98  mathnet  crossref  zmath  elib  scopus
11. M. S. Nikolskii, “Ob optimalnom upravlenii agregirovannym proizvodstvom s uchetom zagryazneniya prirody”, Prikl. matem. i inform., 48 (2015), 93–99  mathnet; M. S. Nikol'skii, “Optimal control of aggregate production allowing for environmental pollution”, Comput. Math. Model., 27:1 (2016), 139–143  crossref  elib  scopus

   2014
12. M. S. Nikol'skii, “On a size-structured population dynamics model”, Differ. Equ., 50:1 (2014), 132–134  mathnet  crossref  crossref  zmath  zmath  isi  elib  scopus
13. M. S. Nikol'skii, “Approximate calculation of Nash equilibria for two-person games”, Moscow Univ. Comput. Math. Cybernet., 38:2 (2014), 54–58  mathnet  crossref  mathscinet  zmath  elib  scopus
14. M. S. Nikolskii, “Issledovanie odnoi zadachi optimalnogo upravleniya, svyazannoi s upravlyaemoi modelyu Solou”, Tr. IMM UrO RAN, 20, no. 4, 2014, 231–237  mathnet  mathscinet  zmath  elib; 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  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
15. M. S. Nikol'skii, M. Aboubacar, “On Bene t of Cooperation in Games of Two Players”, Math. Ed., 2014, no. 3(71), 34–40  mathnet  elib
16. 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  mathnet  elib

   2013
17. M. S. Nikol'skii, “Numerical method for an approximate solution to Bulgakov's problem”, Moscow Univ. Comput. Math. Cybernet., 37:3 (2013), 97–102  mathnet  crossref  mathscinet  zmath  elib  scopus
18. 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  mathnet  crossref  mathscinet  zmath  elib  scopus
19. M. S. Nikolskii, “O vychislenii tochek ravnovesiya po Neshu dlya igr dvukh lits”, Tezisy konferentsii «Tikhonovskie chteniya», Fakultet VMK MGU, 2013, 26
20. M. S. Nikolskii, “Odna model dinamiki populyatsii, strukturirovannykh po razmeram”, Tr. IMM UrO RAN, 19, no. 4, 2013, 175–180  mathnet  mathnet  mathscinet (cited: 1)  elib; M. S. Nikol'skii, “One model of size-structured population dynamics”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 128–133  crossref  mathscinet  isi  elib  scopus
21. M. S. Nikolskii, “Ob odnoi polulineinoi dinamicheskoi modeli populyatsii, strukturirovannoi po razmeram”, Sbornik statei, Nelineinaya dinamika i upravlenie, 8, Fizmatlit, M., 2013, 257–264
22. 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
23. M. S. Nikol'skii, “On the time-optimal problem for three- and four-dimensional control systems”, Proc. Steklov Inst. Math., 277 (2012), 184–190  mathnet  crossref  mathscinet  isi  elib
24. M. S. Nikolskii, “Izuchenie nekotorykh dinamicheskikh modelei populyatsii, strukturirovannykh po razmeram”, Sbornik nauchnykh rabot fakulteta VMK MGU, Problemy dinamicheskogo upravleniya, 6, 2012, 122–127
25. 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
26. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2011
27. M. S. Nikol'skii, “On controllable variants of the Richardson model in political science”, Proc. Inst. Math. Mech., 275, suppl. 1 (2011), S78–S85  mathnet  crossref  isi  elib  scopus (cited: 1)
28. 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  crossref  mathscinet  isi  elib  scopus

   2010
29. 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  mathnet  elib
30. 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  mathnet  crossref  mathscinet  isi  elib  elib  scopus
31. M. S. Nikol'skii, “Some linear problems of control”, Moscow Univ. Comput. Math. Cybernet., 34:1 (2010), 8–15  crossref  mathscinet  elib  scopus (cited: 1)
32. M. S. Nikol'skii, “On the time-optimality problem for two-dimensional control systems”, Differ. Equ., 46:11 (2010), 1631–1638  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 2)
33. M. S. Nikolskii, “Nekotorye chislennye aspekty pryamykh metodov L. S. Pontryagina v lineinykh differentsialnykh igrakh”, Nelineinaya dinamika i upravlenie, 7, 2010, 137–148
34. A. V. Kryazhimskii, M. S. Nikolskii, S. P. Konovalov, “Izuchenie uproschennoi modeli sbora nalogov s predpriyatiya gosudarstvom s uchetom belogo i tenevogo kapitalov”, Nelineinaya dinamika i upravlenie, 7, 2010, 287–310  mathnet  crossref  mathscinet  zmath  scopus; A. V. Kryazhimskii, S. P. Konovalov, M. S. Nikolískii, “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  crossref  scopus
35. 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
36. 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  mathnet  crossref  mathscinet  isi

   2009
37. M. S. Nikolskii, “Uproschennaya igrovaya model vzaimodeistviya dvukh gosudarstv”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2009, no. 2, 14–20  mathscinet (cited: 3)  elib (cited: 4)
38. M. S. Nikol'skii, “On the accompanying set in optimal control problems”, Differ. Equ., 45:5 (2009), 762–767  crossref  mathscinet  elib  elib  scopus
39. M. S. Nikol'skii, “On a linear problem of tracing a given motion”, Differ. Equ., 45:11 (2009), 1681-1685  crossref  mathscinet  isi  elib  elib  scopus
40. 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

   2008
41. M. S. Nikolskii, “Odno zamechanie otnositelno funktsii tipa maksimum”, Vestn. Mosk. un-ta. Ser. 15. Vychisl. matem. i kibernetika, 2008, no. 2, 30–33  mathscinet (cited: 1)  elib (cited: 1)
42. 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
43. M. S. Nikol'skii, “On Linear Nonstationary Control Processes”, Proc. Steklov Inst. Math., 262 (2008), 188–193  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
44. M. S. Nikolskii, “O nepolnykh nablyudeniyakh v odnoi lineinoi zadache identifikatsii”, Nelineinaya dinamika i upravlenie, 6, 2008, 93–100

   2007
45. 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  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2006
46. M. S. Nikol'skiĭ, “On the Stackelberg equilibrium in programmed strategies in linear differential games”, Differ. Equ., 42:12 (2006), 1729–1734  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
47. M. S. Nikolskii, “Odna zadacha optimalnogo upravleniya s malym parametrom”, Optimalnoe upravlenie i dinamicheskie sistemy, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 110, VINITI, M., 2006, 189–196  mathnet  mathscinet  zmath; M. S. Nikol'skii, “An optimal control problem with the small parameter”, J. Math. Sci. (N. Y.), 121:2 (2004), 2248–2253  crossref  mathscinet  zmath  elib
48. M. S. Nikol'skii, “Investigation of some control models”, Proc. Inst. Math. Mech., 255, suppl. 2 (2006), S140–S149  mathnet  crossref  mathscinet  zmath  elib  scopus
49. 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  mathnet  crossref  mathscinet

   2005
50. M. S. Nikolskii, “K voprosu o skhodimosti odnogo varianta metoda posledovatelnykh priblizhenii dlya resheniya zadach optimalnogo upravleniya”, Optimalnoe upravlenie, Sovrem. matem. i ee prilozh., 23, 2005, 73–78  mathscinet; 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  crossref  mathscinet  zmath  scopus
51. 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  mathscinet (cited: 2)
52. 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  mathscinet  zmath
53. M. S. Nikol'skiĭ, “A very regular optimal control problem”, Differ. Equ., 41:11 (2005), 1602–1608  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
54. 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  mathscinet  zmath

   2004
55. Differ. Equ., 40:11 (2004), 1594–1599  mathnet  crossref  crossref  crossref  mathscinet  zmath  isi  scopus
56. M. S. Nikol'skii, “On difference approximations for some optimization problems”, Comput. Math. Math. Phys., 44:3 (2004), 440–448  mathnet  mathscinet  zmath  elib  scopus
57. Moscow Univ. Comput. Math. Cybernet., 2004, no. 1, 24–31  mathscinet  zmath  scopus
58. 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  mathnet  mathscinet  zmath  elib
59. M. S. Nikolskii, “Convergence of optimal controls in some optimization problems”, Nelineinaya dinamika i upravlenie, T. 4, M., Fizmatlit, 2004, 301–314  mathscinet; 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  crossref  mathscinet  zmath  scopus

   2003
60. Differ. Equ., 39:11 (2003), 1603–1608  mathnet  crossref  mathscinet  zmath  isi  scopus
61. Moscow Univ. Comput. Math. Cybernet., 2003, no. 1, 48–54  mathscinet  zmath  scopus
62. M. S. Nikolskii, T. M. Streltsova, “An extremum problem in production economics”, Nelineinaya dinamika i upravlenie, T. 3, M., Fizmatlit, 2003, 225–236; 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  crossref  mathscinet  zmath
63. M. S. Nikolskii, “Convergence of the gradient projection method in optimal control problems”, Nelineinaya dinamika i upravlenie, T. 3, M., Fizmatlit, 2003, 139–148  mathscinet (cited: 4); 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  crossref  mathscinet  zmath

   2002
64. Differ. Equ., 38:11 (2002), 1599–1604  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
65. Cybernet. Systems Anal., 38:3 (2002), 439–443  crossref  mathscinet  zmath
66. Moscow Univ. Comput. Math. Cybernet., 2002, no. 2, 20–25 (2003)  mathscinet  zmath  elib

   2001
67. Differ. Equ., 37:11 (2001), 1589–1596  mathnet  crossref  mathscinet  zmath  isi  scopus
68. 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  crossref  mathscinet  zmath  elib  scopus

   2000
69. 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  mathnet  mathscinet  zmath  elib
70. Differ. Equ., 36:11 (2000), 1647–1651  mathnet  crossref  mathscinet  zmath  isi  scopus
71. Moscow Univ. Comput. Math. Cybernet., 2000, no. 2, 28–35  mathscinet  zmath  scopus

   1999
72. 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  mathscinet
73. Differential Equations, 35:11 (1999), 1508–1511 (2000)  mathnet  mathscinet  zmath  isi  scopus
74. M. S. Nikol'skii, “Certain Covering Theorems and Their Application in Control Theory”, Proc. Steklov Inst. Math., 224 (1999), 240–249  mathnet  mathscinet  zmath

   1998
75. Differential Equations, 34:11 (1998), 1572–1575 (1999)  mathnet  mathscinet  zmath  isi  scopus
76. Moscow Univ. Comput. Math. Cybernet., 1998, no. 3, 14–20 (1999)  mathscinet  zmath
77. Moscow Univ. Comput. Math. Cybernet., 1998, no. 1, 71–73  mathscinet  zmath  scopus
78. M. S. Nikol'skii, “On systems of linear integral convolution equations of Volterra type”, Proc. Steklov Inst. Math., 220 (1998), 207–213  mathnet  mathscinet  zmath

   1997
79. Differential Equations, 33:11 (1997), 1563–1565 (1998)  mathnet  mathscinet  zmath  isi  scopus
80. Moscow Univ. Comput. Math. Cybernet., 1997, no. 2, 64–66  mathscinet  zmath  scopus

   1996
81. M. S. Nikol'skiĭ, “On a problem of realizing a given motion. Flexible systems”, Dokl. Akad. Nauk, 350:6 (1996), 739–741  mathnet (cited: 3)  mathscinet (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 2)

   1995
82. Differential Equations, 31:11 (1995), 1834–1840 (1996)  mathnet  mathscinet  zmath  isi
83. Nikolskii Mikhail S., “On solvability of systems of integral equations in convolutions”, Integral Transform. Spec. Funct., 3:1 (1995), 37–48  crossref  mathscinet
84. 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  mathnet  mathscinet  zmath  elib
85. 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  mathnet  mathscinet  zmath

   1994
86. Nikolskii Mikhail S., “Methods of factorization applicable to the solution of convolution equations”, Integral Transform. Spec. Funct., 2:1 (1994), 51–64  crossref  mathscinet
87. Differential Equations, 30:11 (1994), 1775–1778 (1995)  mathnet  mathscinet  zmath  isi
88. 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  mathscinet  zmath
89. Moscow Univ. Comput. Math. Cybernet., 1994, no. 2, 62–64  mathscinet  zmath
90. V. A. Il'in, S. A. Lomov, M. S. Nikol'skii, Yu. V. Pokornyi, Differ. Uravn., 30:3 (1994), 538–539  mathnet

   1993
91. Differential Equations, 29:11 (1993), 1681–1684 (1994)  mathnet  mathscinet  zmath  isi
92. 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  mathscinet (cited: 1)  zmath
93. Moscow Univ. Comput. Math. Cybernet., 1993, no. 3, 1–4  mathscinet  zmath

   1992
94. Differential Equations, 28:11 (1992), 1632–1635 (1993)  mathnet  mathscinet  zmath  isi
95. Differential Equations, 28:2 (1992), 190–193  mathnet  mathscinet  zmath  zmath  isi
96. Soviet Math. Dokl., 45:1 (1992), 193–197  mathnet  mathscinet  zmath  isi

   1991
97. 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  mathscinet
98. 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  mathscinet
99. 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  crossref  mathscinet (cited: 1)  zmath  isi  scopus
100. 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  mathscinet
101. Moscow Univ. Comput. Math. Cybernet., 1991, no. 1, 69–70  mathscinet  zmath
102. M. S. Nikol'skii, “Viable parametrization of continuous many-valued mappings”, Math. Notes, 50:4 (1991), 1043–1045  mathnet  crossref  mathscinet  zmath  isi  scopus
103. M. S. Nikolskii, “O slaboi skhodimosti mnogoznachnykh otobrazhenii”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 261–264  mathnet  mathscinet  zmath; M. S. Nikol'skii, “On the weak convergence of multivalued mappings”, Proc. Steklov Inst. Math., 200 (1993), 287–290  mathscinet  zmath

   1990
104. M. S. Nikol'skiĭ, “Approximation of a continuous multivalued mapping by constant multivalued mappings”, Moscow Univ. Comput. Math. Cybernet., 1990, no. 1, 73–76  mathscinet  zmath
105. M. S. Nikol'skiĭ, “Approximation of continuous convex-valued multivalued mappings”, Optimization, 21:2 (1990), 209–214  crossref  mathscinet  zmath

   1989
106. M. S. Nikol'skiĭ, “Directional differentiation of marginal functions”, Kibernetika (Kiev), 1989, no. 5, 126–127  mathscinet
107. M. S. Nikol'skiĭ, “Approximation of convex-valued continuous multivalued mappings”, Dokl. Akad. Nauk SSSR, 308:5 (1989), 1047–1050  mathnet  mathscinet (cited: 1)  isi (cited: 1); M. S. Nikol'skiĭ, “Approximation of convex-valued continuous multivalued mappings”, Soviet Math. Dokl., 40:2 (1990), 406–409  mathscinet  zmath
108. M. S. Nikol'skiĭ, “The maximum principle in a nonsmooth minimax problem of optimal control”, Soviet Math. Dokl., 39:1 (1989), 69–72  mathnet  mathscinet  zmath  isi

   1988
109. 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  mathscinet
110. M. S. Nikol'skiĭ, “The contingent directional derivative in nonsmooth analysis”, Moscow Univ. Comput. Math. Cybernet., 1988, no. 3, 62–68  mathscinet  zmath  scopus
111. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
112. M. S. Nikol'skii, “A minimax control problem”, Optimal control and differential games, Trudy Mat. Inst. Steklov., 185, Nauka, Moscow, 1988, 187–191  mathnet  mathscinet
113. 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  mathnet  mathscinet

   1987
114. 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  mathscinet
115. M. S. Nikol'skiĭ, “A piecewise constant integral for multivalued mappings”, Differentsial'nye Uravneniya, 23:10 (1987), 1705–1710  mathnet  mathscinet  zmath
116. 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  mathscinet (cited: 1)  scopus
117. M. S. Nikol'skiĭ, “A variational problem with a variable structure”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1987, no. 1, 36–41  mathscinet (cited: 1)  zmath
118. M. S. Nikol'skii, “Approximation of the attainability set for a controlled process”, Math. Notes, 41:1 (1987), 44–48  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)

   1986
119. M. S. Nikol'skiĭ, “The problem of control of a linear system with disturbances”, Dokl. Akad. Nauk SSSR, 287:6 (1986), 1317–1320  mathnet  mathscinet  zmath  isi (cited: 3)

   1985
120. M. S. Nikolskii, “O nizhnem alternirovannom integrale Pontryagina v lineinykh differentsialnykh igrakh presledovaniya”, Matem. sb., 128(170):1(9) (1985), 35–49  mathnet (cited: 8)  mathscinet (cited: 1)  zmath; 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  crossref  mathscinet  zmath

   1984
121. M. S. Nikol'skiĭ, “Linear differential games with variable structure”, Dokl. Akad. Nauk SSSR, 276:4 (1984), 791–794  mathnet  mathscinet  zmath  isi
122. 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  mathscinet (cited: 2)  zmath
123. M. S. Nikolskii, “O korrektnosti odnoi zadachi optimalnogo upravleniya dlya lineinogo upravlyaemogo ob'ekta s integralnym kvadratichnym kriteriem kachestva”, Sovremennye problemy matematiki. Differentsialnye uravneniya, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Lvu Semenovichu Pontryaginu k ego semidesyatipyatiletiyu, Tr. MIAN SSSR, 166, 1984, 177–185  mathnet  mathscinet  zmath; 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  mathscinet  zmath

   1983
124. M. S. Nikol'skii, “A direct method of solution of linear differential pursuit-evasion games”, Math. Notes, 33:6 (1983), 455–458  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)

   1982
125. 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)  crossref  mathscinet  zmath  isi  scopus
126. M. S. Nikol'skiĭ, “A remark on Filippov's lemma”, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 1982, no. 2, 76–78  mathscinet  zmath
127. 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  mathscinet  zmath  scopus
128. 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  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   1981
129. M. S. Nikolskii, “Ob alternirovannom integrale L. S. Pontryagina”, Matem. sb., 116(158):1(9) (1981), 136–144  mathnet (cited: 19)  mathscinet (cited: 6)  zmath; M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Math. USSR-Sb., 44:1 (1983), 125–132  crossref  mathscinet  zmath

   1980
130. 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  crossref  mathscinet  zmath
131. 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  mathscinet
132. M. S. Nikol'skiĭ, “On a class of differential games with fixed time”, Soobshch. Akad. Nauk Gruzin. SSR, 99:2 (1980), 293–296  mathscinet  zmath
133. 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  mathscinet  zmath

   1979
134. 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  mathscinet

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

   1977
136. E. F. Mischenko, M. S. Nikolskii, N. Yu. Satimov, “Zadacha ukloneniya ot vstrechi v differentsialnykh igrakh mnogikh lits”, Analiticheskaya teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 143, 1977, 105–128  mathnet (cited: 21)  mathscinet (cited: 1)  zmath; 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  mathscinet  zmath

   1975
137. 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  mathscinet
138. 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  mathscinet
139. M. S. Nikol'skiy, “An equation in convolutions that arises in avoidance theory”, Engrg. Cybernetics, 13:1 (1975), 47–57  mathscinet
140. M. S. Nikol'skiĭ, “Differential pursuit games in the presence of disturbances”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 30:3 (1975), 31–37  mathscinet  zmath
141. M. S. Nikol'skiĭ, “The quasilinear evasion problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975), 539–542  mathscinet  zmath

   1974
142. 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  mathscinet
143. M. S. Nikol'skiĭ, “A method of evasion”, Dokl. Akad. Nauk SSSR, 214 (1974), 287–290  mathscinet  zmath
144. M. S. Nikol'skiĭ, “Nonlinear differential pursuit games”, Kibernetika (Kiev), 1974, no. 2, 125–130  mathscinet  zmath
145. M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1974, no. 12, 103–112, 139  mathscinet  zmath
146. M. S. Nikolskii, “O lineinoi zadache ubeganiya”, Dokl. AN SSSR, 218 (1974), 1024–1027  mathscinet  zmath

   1973
147. 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  crossref  mathscinet (cited: 1)
148. 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  mathscinet  zmath
149. 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  mathscinet (cited: 1)
150. M. S. Nikol'skiĭ, “A certain nonlinear pursuit problem”, Kibernetika (Kiev), 1973, no. 2, 92–94  mathscinet  zmath
151. M. S. Nikol'skiĭ, “The evasion problem”, Prikl. Mat. i Programmirovanie, 1973, no. 9, 103–111  mathscinet
152. M. S. Nikol'skiĭ, “A linear differential evasion game in the presence of delays”, Prikl. Mat. i Programmirovanie, 1973, no. 10, 95–101  mathscinet

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

   1971
161. 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  mathscinet
162. M. S. Nikol'skiĭ, “Problem of ideal observation of discrete systems”, Automat. Remote Control, 32:4 (1971), 574–577  mathnet  mathscinet  zmath
163. M. S. Nikol'skiy, “A pursuit problem with incomplete information”, Engrg. Cybernetics, 9:5 (1971), 792–794  mathscinet
164. 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  mathscinet  zmath
165. M. S. Nikol'skiĭ, “Linear differential pursuit games in the presence of lags”, Dokl. Akad. Nauk SSSR, 197 (1971), 1018–1021  mathscinet  zmath
166. M. S. Nikol'skiĭ, “Pursuit of an incompletely known object”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 26:1 (1971), 3–8  mathscinet  zmath
167. M. S. Nikol'skii, “Ideally observable systems”, Differ. Uravn., 7:4 (1971), 631–638  mathnet  mathscinet  zmath

   1970
168. 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  mathscinet
169. M. S. Nikolskii, “Nestatsionarnye lineinye differentsialnye igry. I”, Kibernetika, 1970, no. 6, 98–101  mathscinet  zmath
170. M. S. Nikolskii, “Idealno nablyudaemye sistemy”, Dokl. AN SSSR, 191:6 (1970), 1224–1227  mathscinet  zmath

   1969
171. 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  mathscinet (cited: 4)
172. 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  mathscinet (cited: 1)
173. 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  mathscinet
174. 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  mathscinet
175. M. S. Nikol'skiĭ, “Nonstationary linear differential games”, Vestnik Moskov. Univ. Ser. I Mat. Meh, 24:3 (1969), 65–73  mathscinet  zmath
176. M. S. Nikolskii, “Odna zadacha s malym parametrom”, Differents. uravneniya, 5:5 (1969), 890–897  mathnet (cited: 1)  mathscinet  zmath
177. P. B. Gusjatnikov, M. S. Nikol'skiĭ, “Pursuit time optimality”, Dokl. Akad. Nauk SSSR, 184 (1969), 518–521  mathscinet (cited: 1)

   1968
178. 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  mathscinet

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

   1964
181. 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  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. 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

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