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Lukoyanov Nikolai Yur'evich

Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 23
Presentations: 4

Number of views:
This page:1726
Abstract pages:2605
Full texts:773
References:462
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person48100
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http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=366332

Publications in Math-Net.Ru
1. Approximation of minimax solutions to Hamilton-Jacobi functional equations for delay systems
M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin
Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  53–62
2. On the numerical solution of differential games for neutral-type linear systems
M. I. Gomoyunov, N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  75–87
3. Existence of the value and saddle point in positional differential games for neutral-type systems
M. I. Gomoyunov, N. Yu. Lukoyanov, A. R. Plaksin
Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  101–112
4. On a minimax control problem for a positional functional under geometric and integral constraints on control actions
D. V. Kornev, N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  87–101
5. Differential games for neutral-type systems: An approximation model
N. Yu. Lukoyanov, A. R. Plaksin
Tr. Mat. Inst. Steklova, 291 (2015),  202–214
6. On the approximation of nonlinear conflict-controlled systems of neutral type
N. Yu. Lukoyanov, A. R. Plaksin
Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  204–217
7. On the numerical solution of a minmax control problem with a positional functional
M. I. Gomoyunov, D. V. Kornev, N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  58–75
8. On the stability of a procedure for solving a minimax control problem for a positional functional
M. I. Gomoyunov, N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  68–82
9. Finite-dimensional modeling guides in time-delay systems
N. Yu. Lukoyanov, A. R. Plaksin
Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  182–195
10. On numerical solution of differential games with nonterminal payoff in classes of mixed strategies
D. V. Kornev, N. Yu. Lukoyanov
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 3,  34–48
11. Calculating the optimal guaranteed result in systems with control delays
M. I. Gomoyunov, N. Yu. Lukoyanov
Izv. IMI UdGU, 2012, no. 1(39),  38–39
12. On Hamilton–Jacobi formalism in time-delay control systems
N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  269–277
13. Minimax and viscosity solutions in optimization problems for hereditary systems
N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  183–194
14. On optimality conditions for the guaranteed result in control problems for time-delay systems
N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  158–169
15. Stable functionals in control problems with hereditary information
N. Yu. Lukoyanov
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  77–80
16. On viscosity solution of functional Hamilton–Jacobi type equations for hereditary systems
N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  135–144
17. On infinitesimal properties of the value functional in control problems with hereditary information
N. Yu. Lukoyanov
Izv. IMI UdGU, 2006, no. 3(37),  83–84
18. Differential inequalities for a nonsmooth value functional in control systems with an aftereffect
N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  108–118
19. Minimax Solutions of Functional Equations of the Hamilton–Jacobi Type for Hereditary Systems
N. Yu. Lukoyanov
Differ. Uravn., 37:2 (2001),  228–237
20. How to Compute the Value of a Positional Differential Game
N. Yu. Lukoyanov
Differ. Uravn., 37:1 (2001),  18–26
21. Equations of Hamilton-Jacobi type in hereditary systems: minimax solutions
N. N. Krasovskii, N. Yu. Lukoyanov
Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  110–130
22. On the conflict control problem with mixed constraints on the control actions
N. Yu. Lukoyanov
Differ. Uravn., 31:9 (1995),  1473–1482
23. On a differential game with an integral performance index
N. Yu. Lukoyanov
Differ. Uravn., 30:11 (1994),  1905–1913

Presentations in Math-Net.Ru
1. 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–June 1, 2018
2. 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   
3. Позиционное управление в динамических системах: задача оптимизации гарантии
N. Yu. Lukoyanov

June 14, 2016 15:25   
4. Математика на Урале
V. I. Berdyshev, N. Yu. Lukoyanov
General Meeting of the Branch of Mathematical Sciences, RAS, 2015
March 21, 2016 14:10   

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