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Lukoyanov, Nikolai Yur'evich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 34
Presentations: 8

Number of views:
This page:6236
Abstract pages:11334
Full texts:3355
References:1640
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://prof-ras.ru/index.php?option=com_k2&view=item&id=307:&Itemid=103

https://www.mathnet.ru/eng/person48100
https://ru.wikipedia.org/wiki/Lukoyanov,_Nikolai_Yurevich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/366332
https://elibrary.ru/author_items.asp?authorid=6194
https://www.scopus.com/authid/detail.url?authorId=7004483594

Publications in Math-Net.Ru Citations
2024
1. M. I. Gomoyunov, N. Yu. Lukoyanov, “On the minimax solution of path-dependent Hamilton–Jacobi equations for neutral-type systems”, Uspekhi Mat. Nauk, 79:4(478) (2024),  177–178  mathnet; Russian Math. Surveys, 79:4 (2024), 733–735  scopus 1
2. M. I. Gomoyunov, N. Yu. Lukoyanov, “Minimax solutions of Hamilton–Jacobi equations in dynamic optimization problems for hereditary systems”, Uspekhi Mat. Nauk, 79:2(476) (2024),  43–144  mathnet  mathscinet  zmath; Russian Math. Surveys, 79:2 (2024), 229–324  isi  scopus 2
3. M. I. Gomoyunov, N. Yu. Lukoyanov, “The value and optimal strategies in a positional differential game for a neutral-type system”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  86–98  mathnet  elib
2023
4. Mikhail I. Gomoyunov, Nikolai Yu. Lukoyanov, “On linear-quadratic differential games for fractional-order systems”, Mat. Teor. Igr Pril., 15:2 (2023),  18–32  mathnet 2
2021
5. N. Yu. Lukoyanov, A. R. Plaksin, “On Extremal Shift Strategies in Time-Delay Systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  150–161  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S192–S202  isi  scopus 2
6. M. I. Gomoyunov, N. Yu. Lukoyanov, “Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional”, Trudy Mat. Inst. Steklova, 315 (2021),  74–94  mathnet; Proc. Steklov Inst. Math., 315 (2021), 65–84  isi  scopus 7
2020
7. N. Yu. Lukoyanov, A. R. Plaksin, “Inequalities for subgradients of a value functional in differential games for time-delay systems”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  91–94  mathnet  zmath  elib; Dokl. Math., 101:1 (2020), 76–79 2
8. M. I. Gomoyunov, N. Yu. Lukoyanov, “Construction of Solutions to Control Problems for Fractional-Order Linear Systems Based on Approximation Models”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  39–50  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S73–S82  isi  scopus 3
2019
9. N. Yu. Lukoyanov, A. R. Plaksin, “On the Theory of Positional Differential Games for Neutral-Type Systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  118–128  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S83–S92  isi  scopus 7
10. N. Yu. Lukoyanov, A. R. Plaksin, “Stable Functionals of Neutral-Type Dynamical Systems”, Trudy Mat. Inst. Steklova, 304 (2019),  221–234  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 304 (2019), 205–218  isi  scopus 6
2018
11. M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin, “Approximation of minimax solutions to Hamilton-Jacobi functional equations for delay systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  53–62  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S68–S75  isi  scopus 5
12. M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin, “Hamilton-Jacobi equations in dynamical optimization problems for neutral-type systems”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018),  268–277  mathnet  elib
2017
13. M. I. Gomoyunov, N. Yu. Lukoyanov, “On the numerical solution of differential games for neutral-type linear systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  75–87  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 44–56  isi 12
2016
14. M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin, “Existence of the value and saddle point in positional differential games for neutral-type systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  101–112  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 37–48  isi  scopus 18
2015
15. D. V. Kornev, N. Yu. Lukoyanov, “On a minimax control problem for a positional functional under geometric and integral constraints on control actions”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  87–101  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 85–100  isi  scopus 8
16. N. Yu. Lukoyanov, A. R. Plaksin, “Differential games for neutral-type systems: An approximation model”, Trudy Mat. Inst. Steklova, 291 (2015),  202–214  mathnet  elib; Proc. Steklov Inst. Math., 291 (2015), 190–202  isi  scopus 7
2014
17. N. Yu. Lukoyanov, A. R. Plaksin, “On the approximation of nonlinear conflict-controlled systems of neutral type”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  204–217  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 182–196  isi  scopus 7
18. M. I. Gomoyunov, D. V. Kornev, N. Yu. Lukoyanov, “On the numerical solution of a minmax control problem with a positional functional”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  58–75  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 77–95  isi  scopus 7
19. M. I. Gomoyunov, N. Yu. Lukoyanov, “On the stability of a procedure for solving a minimax control problem for a positional functional”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  68–82  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 54–69  isi  scopus 7
2013
20. N. Yu. Lukoyanov, A. R. Plaksin, “Finite-dimensional modeling guides in time-delay systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  182–195  mathnet  mathscinet  elib 7
21. D. V. Kornev, N. Yu. Lukoyanov, “On numerical solution of differential games with nonterminal payoff in classes of mixed strategies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 3,  34–48  mathnet 3
2012
22. M. I. Gomoyunov, N. Yu. Lukoyanov, “Calculating the optimal guaranteed result in systems with control delays”, Izv. IMI UdGU, 2012, no. 1(39),  38–39  mathnet
2010
23. N. Yu. Lukoyanov, “On Hamilton–Jacobi formalism in time-delay control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  269–277  mathnet  elib 2
2009
24. N. Yu. Lukoyanov, “Minimax and viscosity solutions in optimization problems for hereditary systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  183–194  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S214–S225  scopus 11
25. N. Yu. Lukoyanov, “On optimality conditions for the guaranteed result in control problems for time-delay systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  158–169  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S175–S187  isi  scopus 10
2008
26. N. Yu. Lukoyanov, “Stable functionals in control problems with hereditary information”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  77–80  mathnet
2007
27. N. Yu. Lukoyanov, “On viscosity solution of functional Hamilton–Jacobi type equations for hereditary systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  135–144  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S190–S200  scopus 25
2006
28. N. Yu. Lukoyanov, “On infinitesimal properties of the value functional in control problems with hereditary information”, Izv. IMI UdGU, 2006, no. 3(37),  83–84  mathnet
29. N. Yu. Lukoyanov, “Differential inequalities for a nonsmooth value functional in control systems with an aftereffect”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  108–118  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S103–S114  scopus 11
2001
30. N. Yu. Lukoyanov, “Minimax Solutions of Functional Equations of the Hamilton–Jacobi Type for Hereditary Systems”, Differ. Uravn., 37:2 (2001),  228–237  mathnet  mathscinet; Differ. Equ., 37:2 (2001), 246–256 6
31. N. Yu. Lukoyanov, “How to Compute the Value of a Positional Differential Game”, Differ. Uravn., 37:1 (2001),  18–26  mathnet  mathscinet; Differ. Equ., 37:1 (2001), 17–26 5
2000
32. N. N. Krasovskii, N. Yu. Lukoyanov, “Equations of Hamilton-Jacobi type in hereditary systems: minimax solutions”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  110–130  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S136–S153 13
1995
33. N. Yu. Lukoyanov, “On the conflict control problem with mixed constraints on the control actions”, Differ. Uravn., 31:9 (1995),  1473–1482  mathnet  mathscinet  zmath; Differ. Equ., 31:9 (1995), 1427–1436 3
1994
34. N. Yu. Lukoyanov, “On a differential game with an integral performance index”, Differ. Uravn., 30:11 (1994),  1905–1913  mathnet  mathscinet; Differ. Equ., 30:11 (1994), 1759–1766 4
2024
35. A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187  mathnet; Russian Math. Surveys, 79:4 (2024), 739–745
36. N. N. Andreev, S. E. Boichenko, S. O. Gorchinskiy, V. V. Kozlov, N. Yu. Lukoyanov, D. K. Mamyi, D. O. Orlov, A. M. Raigorodskii, “The Third Conference of Russian Mathematical Centers”, Uspekhi Mat. Nauk, 79:1(475) (2024),  191–194  mathnet  mathscinet; Russian Math. Surveys, 79:1 (2024), 183–187

Presentations in Math-Net.Ru
1. Уравнения Гамильтона—Якоби—Беллмана— Айзекса для динамических систем нейтрального типа
N. Yu. Lukoyanov
Conference dedicated to 70th anniversary of A. L. Skubachevsky
December 15, 2023 12:15   
2. Задачи оптимизации гарантии в динамических системах
N. Yu. Lukoyanov

September 19, 2023 09:40
3. Hereditary Hamilton–Jacobi equations: Minimax solution
N. Yu. Lukoyanov
Scientific seminar on the differential and functional differential equations
November 1, 2022 12:00   
4. Optimal guaranteed result in control problems of neutral-type systems
N. Yu. Lukoyanov, A. R. Plaksin
International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin
December 14, 2018 11:30   
5. Hamilton–Jacobi equations for neutral-type dynamical systems
N. Yu. Lukoyanov
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
May 31, 2018 11:00   
6. Finite-dimensional guides of neutral-type systems
N. Yu. Lukoyanov
International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov
September 22, 2016 17:50   
7. Позиционное управление в динамических системах: задача оптимизации гарантии
N. Yu. Lukoyanov
Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences
June 14, 2016 15:25   
8. Математика на Урале
V. I. Berdyshev, N. Yu. Lukoyanov
General Meeting of the Branch of Mathematical Sciences, RAS, 2015
March 21, 2016 14:10   

Organisations
 
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