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Gomoyunov, Mikhail Igorevich
Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 26
Presentations: 7

Number of views:
This page:4689
Abstract pages:14437
Full texts:3278
References:2244
Doctor of physico-mathematical sciences (2024)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 15.08.1990
E-mail:

https://www.mathnet.ru/eng/person70166
https://scholar.google.com/citations?user=hI8VCJkAAAAJ&hl=en
https://elibrary.ru/author_items.asp?spin=1729-8120
https://orcid.org/0000-0002-0871-920X

Publications in Math-Net.Ru Citations
2025
1. M. I. Gomoyunov, D. A. Serkov, “On the existence of a non-anticipative selection for a non-anticipative multivalued map”, Uspekhi Mat. Nauk, 80:4(484) (2025),  175–176  mathnet; Russian Math. Surveys, 80:4 (2025), 720–722
2024
2. 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  mathscinet; Russian Math. Surveys, 79:4 (2024), 733–735  isi  scopus 1
3. 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 4
4. 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; Proc. Steklov Inst. Math., 327, suppl. 1 (2024), S112–S123  scopus
2023
5. 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
6. M. I. Gomoyunov, “Criteria of minimax solutions for Hamilton–Jacobi equations with coinvariant fractional-order derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  25–42  mathnet  elib 1
7. 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 8
8. M. I. Gomoyunov, D. A. Serkov, “On guarantee optimization in control problem with finite set of disturbances”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021),  613–628  mathnet  isi 2
2020
9. M. I. Gomoyunov, “Minimax Solutions of Homogeneous Hamilton–Jacobi Equations with Fractional-Order Coinvariant Derivatives”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  106–125  mathnet  elib; Proc. Steklov Inst. Math., 315, suppl. 1 (2021), S97–S116  isi  scopus 5
10. 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., 313, suppl. 1 (2021), S73–S82  isi  scopus 3
11. M. I. Gomoyunov, D. A. Serkov, “Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020),  553–571  mathnet  isi 1
2019
12. M. I. Gomoyunov, “Extremal Shift to Accompanying Points in a Positional Differential Game for a Fractional-Order System”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  11–34  mathnet  elib; Proc. Steklov Inst. Math., 308, suppl. 1 (2020), S83–S105  isi  scopus 12
2018
13. 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., 304, suppl. 1 (2019), S68–S75  isi  scopus 5
14. 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
15. M. I. Gomoyunov, “About an estimate from above of the fractional derivative of the composition of two functions”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018),  261–267  mathnet  elib
2017
16. M. I. Gomoyunov, A. R. Plaksin, “Finite-dimensional approximations of neutral-type conflict-controlled systems”, Izv. IMI UdGU, 49 (2017),  111–122  mathnet  elib
17. M. I. Gomoyunov, D. A. Serkov, “Control with a guide in the guarantee optimization problem under functional constraints on the disturbance”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  82–94  mathnet  elib; Proc. Steklov Inst. Math., 299, suppl. 1 (2017), S49–S60  isi  scopus 2
18. 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., 301, suppl. 1 (2018), S44–S56  isi 14
2016
19. 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., 299, suppl. 1 (2017), S37–S48  isi  scopus 18
20. Mikhail I. Gomoyunov, Dmitry V. Kornev, “On calculating the value of a differential game in the class of counter strategies”, Ural Math. J., 2:1 (2016),  38–47  mathnet  zmath  elib 4
2015
21. M. I. Gomoyunov, “Linear-convex guarantee optimization problems with control delay”, Izv. IMI UdGU, 2015, no. 1(45),  37–105  mathnet  elib 1
2014
22. 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., 291, suppl. 1 (2015), S77–S95  isi  scopus 7
23. 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., 288, suppl. 1 (2015), S54–S69  isi  scopus 7
2013
24. M. I. Gomoyunov, D. V. Kornev, “On calculating the value of a differential game in the class of counterstrategies”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  59–68  mathnet  mathscinet  elib 5
2012
25. 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
2011
26. M. I. Gomoyunov, “On the problem of optimizing the guarantee in a system with delay in control”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3,  21–36  mathnet 2

Presentations in Math-Net.Ru
1. Introduction to the theory of generalized solutions of Hamilton–Jacobi equations
M. I. Gomoyunov
Siberian summer school: Current developments in Geometry
August 28, 2025 10:45   
2. Introduction to the theory of generalized solutions of Hamilton–Jacobi equations.
M. I. Gomoyunov
Siberian summer school: Current developments in Geometry
August 27, 2025 11:40   
3. Introduction to the theory of generalized solutions of Hamilton–Jacobi equations
M. I. Gomoyunov
Siberian summer school: Current developments in Geometry
August 25, 2025 10:45   
4. Introduction to the Theory of Generalized Solutions of Hamilton-Jacobi Equations
M. I. Gomoyunov
Geometric Theory of Optimal Control
February 13, 2025 16:45   
5. Optimal control problems for systems with fractional derivatives: dynamic programming principle and Hamilton–Jacobi equations
M. I. Gomoyunov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 7, 2022 15:15   
6. Hamilton – Jacobi – Bellman equations in optimal control problems for systems with fractional-order derivatives
M. I. Gomoyunov
Seminar "Optimal Control and Dynamical Systems"
February 18, 2022 13:00   
7. Аппроксимация дифференциальных систем с производными дробного порядка в задачах позиционного управления
M. I. Gomoyunov
VIII Internet video conference "Day of Mathematics and Mechanics"
September 17, 2018

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