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Lukoyanov, Nikolai Yur'evich

Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25
Presentations: 5

Number of views:
This page:2748
Abstract pages:4106
Full texts:1258
References:668
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person48100
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/366332

Publications in Math-Net.Ru
2019
1. N. Yu. Lukoyanov, A. R. Plaksin, “To the theory of positional differential games for neutral-type systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  118–128  mathnet  elib
2. N. Yu. Lukoyanov, A. R. Plaksin, “Stable Functionals of Neutral-Type Dynamical Systems”, Tr. Mat. Inst. Steklova, 304 (2019),  221–234  mathnet  elib; Proc. Steklov Inst. Math., 304 (2019), 205–218  isi  scopus
2018
3. 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
4. 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
2017
5. 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
2016
6. 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
2015
7. 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. N. Yu. Lukoyanov, A. R. Plaksin, “Differential games for neutral-type systems: An approximation model”, Tr. Mat. Inst. Steklova, 291 (2015),  202–214  mathnet  elib; Proc. Steklov Inst. Math., 291 (2015), 190–202  isi  scopus
2014
9. 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
10. 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
11. 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
2013
12. 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
13. 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, 3,  34–48  mathnet
2012
14. M. I. Gomoyunov, N. Yu. Lukoyanov, “Calculating the optimal guaranteed result in systems with control delays”, Izv. IMI UdGU, 2012, 1(39),  38–39  mathnet
2010
15. 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
2009
16. 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
17. 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
2008
18. N. Yu. Lukoyanov, “Stable functionals in control problems with hereditary information”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2,  77–80  mathnet
2007
19. 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
2006
20. N. Yu. Lukoyanov, “On infinitesimal properties of the value functional in control problems with hereditary information”, Izv. IMI UdGU, 2006, 3(37),  83–84  mathnet
21. 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
2001
22. 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
23. 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
2000
24. 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
1995
25. 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
1994
26. 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

Presentations in Math-Net.Ru
1. 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   
2. 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   
3. 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   
4. 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   
5. 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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