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Gomoyunov, Mikhail Igorevich

Author ID:
gomoyunov.mikhail-igorevich Recent zbMATH articles by "Gomoyunov, Mikhail Igorevich"
Published as:
Gomoyunov, M. I.;Gomoyunov, Mikhail I.;Gomoyunov, Mikhail;Gomoyunov, Mikhail Igorevich;Gomoyunov, Mikhaĭl Igor’evich
External Links:
ORCID ·Math-Net.Ru
Documents Indexed:

49 Publications since 2011, including3 Additional arXiv Preprints

alltop 5

Serials

11 Proceedings of the Steklov Institute of Mathematics
3 Fractional Calculus \& Applied Analysis
3 Differential Equations
3 Dynamic Games and Applications
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
3 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
2 Journal of Applied Mathematics and Mechanics
2 Russian Mathematical Surveys
2 Applied Mathematics and Optimization
2 Doklady Mathematics
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 SIAM Journal on Control and Optimization
1 Archives of Control Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 International Game Theory Review
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Mathematical Control and Related Fields
1 Ural Mathematical Journal
1 Mechanics of Solids

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 230 times in111 DocumentsCited by ▼Year ▼
Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems. Zbl 1426.34012
Gomoyunov, Mikhail I.
2018
Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems. Zbl 1452.49017
Gomoyunov, Mikhail I.
2020
Solution to a zero-sum differential game with fractional dynamics via approximations. Zbl 1443.91054
Gomoyunov, Mikhail
2020
On representation formulas for solutions of linear differential equations with Caputo fractional derivatives. Zbl 1488.34036
Gomoyunov, Mikhail I.
2020
Path-dependent Hamilton-Jacobi equations: the minimax solutions revised. Zbl 1476.49032
Gomoyunov, Mikhail I.;Lukoyanov, Nikolai Yu.;Plaksin, Anton R.
2021
Hamilton-Jacobi functional equations and differential games for neutral-type systems. Zbl 1387.49051
Lukoyanov, N. Yu.;Gomoyunov, M. I.;Plaksin, A. R.
2017
Extremal shift to accompanying points in a positional differential game for a fractional-order system. Zbl 1444.91038
Gomoyunov, M. I.
2020
Optimal control problems with a fixed terminal time in linear fractional-order systems. Zbl 1457.49024
Gomoyunov, Mikhail I.
2020
To the theory of differential inclusions with Caputo fractional derivatives. Zbl 1458.34018
Gomoyunov, M. I.
2020
Existence of a value and a saddle point in positional differential games for neutral-type systems. Zbl 1410.91096
Gomoyunov, M. I.;Lukoyanov, N. Yu.;Plaksin, A. R.
2017
On the numerical solution of differential games for neutral-type linear systems. Zbl 1401.49056
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2018
Differential games in fractional-order systems: inequalities for directional derivatives of the value functional. Zbl 1482.91029
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2021
Guarantee optimization in functional-differential systems with a control aftereffect. Zbl 1423.49031
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2012
Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations. Zbl 1523.35294
Gomoyunov, M. I.;Plaksin, A. R.
2023
Differential games on minmax of the positional quality index. Zbl 1431.91037
Lukoyanov, Nikolai;Gomoyunov, Mikhail
2019
On basic equation of differential games for neutral-type systems. Zbl 1460.91037
Gomoyunov, M. I.;Plaksin, R. A.
2019
Approximation of minimax solutions of Hamilton-Jacobi functional equations for time-delay systems. Zbl 1421.49005
Gomoyunov, M. I.;Lukoyanov, N. Yu.;Plaksin, A. R.
2019
On differentiability of solutions of fractional differential equations with respect to initial data. Zbl 1503.34016
Gomoyunov, Mikhail I.
2022
Minimax solutions of homogeneous Hamilton-Jacobi equations with fractional-order coinvariant derivatives. Zbl 1482.35075
Gomoyunov, M. I.
2021
On the stability of a procedure for solving a minimax control problem for a positional functional. Zbl 1317.49007
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2015
Control with a guide in the guarantee optimization problem under functional constraints on the disturbance. Zbl 1387.49055
Gomoyunov, M. I.;Serkov, D. A.
2017
Minimax solutions of Hamilton-Jacobi equations in dynamic optimization problems for hereditary systems. Zbl 1552.35080
Gomoyunov, Mikhail I.;Lukoyanov, Nikolai Yu.
2024
Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. Zbl 1519.49028
Gomoyunov, Mikhail
2023
Construction of solutions to control problems for fractional-order linear systems based on approximation models. Zbl 1469.49030
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2021
On the relationship between the Pontryagin maximum principle and the Hamilton-Jacobi-Bellman equation in optimal control problems for fractional-order systems. Zbl 1531.49023
Gomoyunov, M. I.
2023
Minimax solutions of Hamilton-Jacobi equations with fractional coinvariant derivatives. Zbl 1486.35136
Gomoyunov, Mikhail Igorevich
2022
On calculating the value of a differential game in the class of counter strategies. Zbl 1398.91087
Gomoyunov, Mikhail I.;Kornev, Dmitry V.
2016
Optimal feedback in a linear-quadratic optimal control problem for a fractional-order system. Zbl 1523.49038
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2023
Linear-convex guarantee optimization problems with control delay. Zbl 1331.49049
Gomoyunov, M. I.
2015
On the numerical solution of a minimax control problem with a positional functional. Zbl 1336.49037
Gomoyunov, M. I.;Kornev, D. V.;Lukoyanov, N. Yu.
2015
On the problem of optimizing the guarantee in a system with delay in control. Zbl 1299.49058
Gomoyunov, M. I.
2011
Game theory applications to guarantee optimization in dynamical systems with control delays. Zbl 1287.49039
Gomoyunov, Mikhail;Kornev, Dmitri;Lukoyanov, Nikolai
2014
On guarantee optimization in control problem with finite set of disturbances. Zbl 1483.49046
Gomoyunov, Mikhail Igorevich;Serkov, Dmitriĭ Aleksandrovich
2021
The optimization of a guaranteed result with a delay in the control. Zbl 1432.49052
Gomoyunov, M. I.
2013
Value functional and optimal feedback control in linear-quadratic optimal control problem for fractional-order system. Zbl 1537.49033
Gomoyunov, Mikhail I.
2024
On linear-quadratic differential games for fractional-order systems. Zbl 1533.91063
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2023
On linear-quadratic differential games for fractional-order systems. Zbl 1520.91060
Gomoyunov, Mikhail I.;Lukoyanov, Nikolaĭ Yu.
2023
On optimal positional strategies in fractional optimal control problems. Zbl 1528.49017
Gomoyunov, Mikhail I.
2023
On a solution of an optimal control problem for a linear fractional-order system. Zbl 1544.93266
Gomoyunov, Mikhail I.
2020
Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances. Zbl 1479.49085
Gomoyunov, Mikhaĭl Igor’evich;Serkov, Dmitriĭ Aleksandrovich
2020
Minimax solutions of Hamilton-Jacobi equations in dynamic optimization problems for hereditary systems. Zbl 1552.35080
Gomoyunov, Mikhail I.;Lukoyanov, Nikolai Yu.
2024
Value functional and optimal feedback control in linear-quadratic optimal control problem for fractional-order system. Zbl 1537.49033
Gomoyunov, Mikhail I.
2024
Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations. Zbl 1523.35294
Gomoyunov, M. I.;Plaksin, A. R.
2023
Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. Zbl 1519.49028
Gomoyunov, Mikhail
2023
On the relationship between the Pontryagin maximum principle and the Hamilton-Jacobi-Bellman equation in optimal control problems for fractional-order systems. Zbl 1531.49023
Gomoyunov, M. I.
2023
Optimal feedback in a linear-quadratic optimal control problem for a fractional-order system. Zbl 1523.49038
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2023
On linear-quadratic differential games for fractional-order systems. Zbl 1533.91063
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2023
On linear-quadratic differential games for fractional-order systems. Zbl 1520.91060
Gomoyunov, Mikhail I.;Lukoyanov, Nikolaĭ Yu.
2023
On optimal positional strategies in fractional optimal control problems. Zbl 1528.49017
Gomoyunov, Mikhail I.
2023
On differentiability of solutions of fractional differential equations with respect to initial data. Zbl 1503.34016
Gomoyunov, Mikhail I.
2022
Minimax solutions of Hamilton-Jacobi equations with fractional coinvariant derivatives. Zbl 1486.35136
Gomoyunov, Mikhail Igorevich
2022
Path-dependent Hamilton-Jacobi equations: the minimax solutions revised. Zbl 1476.49032
Gomoyunov, Mikhail I.;Lukoyanov, Nikolai Yu.;Plaksin, Anton R.
2021
Differential games in fractional-order systems: inequalities for directional derivatives of the value functional. Zbl 1482.91029
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2021
Minimax solutions of homogeneous Hamilton-Jacobi equations with fractional-order coinvariant derivatives. Zbl 1482.35075
Gomoyunov, M. I.
2021
Construction of solutions to control problems for fractional-order linear systems based on approximation models. Zbl 1469.49030
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2021
On guarantee optimization in control problem with finite set of disturbances. Zbl 1483.49046
Gomoyunov, Mikhail Igorevich;Serkov, Dmitriĭ Aleksandrovich
2021
Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems. Zbl 1452.49017
Gomoyunov, Mikhail I.
2020
Solution to a zero-sum differential game with fractional dynamics via approximations. Zbl 1443.91054
Gomoyunov, Mikhail
2020
On representation formulas for solutions of linear differential equations with Caputo fractional derivatives. Zbl 1488.34036
Gomoyunov, Mikhail I.
2020
Extremal shift to accompanying points in a positional differential game for a fractional-order system. Zbl 1444.91038
Gomoyunov, M. I.
2020
Optimal control problems with a fixed terminal time in linear fractional-order systems. Zbl 1457.49024
Gomoyunov, Mikhail I.
2020
To the theory of differential inclusions with Caputo fractional derivatives. Zbl 1458.34018
Gomoyunov, M. I.
2020
On a solution of an optimal control problem for a linear fractional-order system. Zbl 1544.93266
Gomoyunov, Mikhail I.
2020
Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances. Zbl 1479.49085
Gomoyunov, Mikhaĭl Igor’evich;Serkov, Dmitriĭ Aleksandrovich
2020
Differential games on minmax of the positional quality index. Zbl 1431.91037
Lukoyanov, Nikolai;Gomoyunov, Mikhail
2019
On basic equation of differential games for neutral-type systems. Zbl 1460.91037
Gomoyunov, M. I.;Plaksin, R. A.
2019
Approximation of minimax solutions of Hamilton-Jacobi functional equations for time-delay systems. Zbl 1421.49005
Gomoyunov, M. I.;Lukoyanov, N. Yu.;Plaksin, A. R.
2019
Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems. Zbl 1426.34012
Gomoyunov, Mikhail I.
2018
On the numerical solution of differential games for neutral-type linear systems. Zbl 1401.49056
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2018
Hamilton-Jacobi functional equations and differential games for neutral-type systems. Zbl 1387.49051
Lukoyanov, N. Yu.;Gomoyunov, M. I.;Plaksin, A. R.
2017
Existence of a value and a saddle point in positional differential games for neutral-type systems. Zbl 1410.91096
Gomoyunov, M. I.;Lukoyanov, N. Yu.;Plaksin, A. R.
2017
Control with a guide in the guarantee optimization problem under functional constraints on the disturbance. Zbl 1387.49055
Gomoyunov, M. I.;Serkov, D. A.
2017
On calculating the value of a differential game in the class of counter strategies. Zbl 1398.91087
Gomoyunov, Mikhail I.;Kornev, Dmitry V.
2016
On the stability of a procedure for solving a minimax control problem for a positional functional. Zbl 1317.49007
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2015
Linear-convex guarantee optimization problems with control delay. Zbl 1331.49049
Gomoyunov, M. I.
2015
On the numerical solution of a minimax control problem with a positional functional. Zbl 1336.49037
Gomoyunov, M. I.;Kornev, D. V.;Lukoyanov, N. Yu.
2015
Game theory applications to guarantee optimization in dynamical systems with control delays. Zbl 1287.49039
Gomoyunov, Mikhail;Kornev, Dmitri;Lukoyanov, Nikolai
2014
The optimization of a guaranteed result with a delay in the control. Zbl 1432.49052
Gomoyunov, M. I.
2013
Guarantee optimization in functional-differential systems with a control aftereffect. Zbl 1423.49031
Gomoyunov, M. I.;Lukoyanov, N. Yu.
2012
On the problem of optimizing the guarantee in a system with delay in control. Zbl 1299.49058
Gomoyunov, M. I.
2011
alltop 5

Cited by 107 Authors

31 Gomoyunov, Mikhail Igorevich
15 Lukoyanov, Nikolaĭ Yur'evich
11 Plaksin, Anton Romanovich
8 Surkov, Platon Gennad'evich
7 Ushakov, Vladimir Nikolaevich
6 Obukhovskiĭ, Valeriĭ Vladimirovich
5 Ershov, Aleksandr Anatol'evich
5 Zeng, Shengda
4 Keller, Christian
4 Machtakova, Alëna Igor'evna
4 Petrov, Nikolaĭ Nikandrovich
4 Serkov, Dmitriĭ Aleksandrovich
3 Bouach, Abderrahim
3 Haddad, Tahar
3 Kamenskiĭ, Mikhaĭl Igor'evich
3 Lastra, Alberto
3 Michalik, Sławomir
3 Petrosyan, Garik Garikovich
3 Suwińska, Maria
3 Taras'ev, Aleksandr Mikhaĭlovich
2 Ardjouni, Abdelouaheb
2 Jolić, Maja
2 Konjik, Sanja
2 Kornev, Dmitriĭ Vasil'evich
2 Mahmudov, Elimhan Nadir
2 Yusubov, Shakir Sh.
1 Abdeljawad, Thabet
1 Ahsan, Sumbal
1 Alekseev, Aleksandr Vladimirovich
1 Alqarni, M. M.
1 Asadzade, Javad A.
1 Babu, Naladi Ram
1 Bandini, Elena
1 Bayraktar, Erhan
1 Benaissa, Hicham
1 Biswas, Raj Kumar
1 Braun, Moritz
1 Cao, Xiaoyu
1 Castaing, Charles
1 Chen, Song
1 Chen, Tehuan
1 Cheong, Huey Tyng
1 Chiranjeevi, Tirumalasetty
1 Chu, Jian
1 Criens, David
1 Das, Sanjukta
1 Devarapalli, Ramesh
1 Djoudi, Ahcene
1 Dolgiĭ, Yuriĭ Filippovich
1 Duarte-Mermoud, Manuel Armando
1 Egorov, Ivan Egorovich
1 El Moutaouakil, Karim
1 El Ouissari, Abdellatif
1 Faiz, Zakaria
1 Fedotov, Egor Dmitrievich
1 Gallegos, Javier A.
1 García Márquez, Fausto Pedro
1 Godet-Thobie, Christiane
1 Gong, Zhaohua
1 Han, Shuo
1 Hong, Shihuang
1 Huang, Jianping
1 Jiang, Jichao
1 Kaise, Hidehiro
1 Khlopin, Dmitriĭ Valer'evich
1 Kim, Arkadii Vladimirovich
1 Kornev, Sergeĭ Viktorovich
1 Lin, Ping
1 Lipin, Anton Evgen'evich
1 Liu, Chongyang
1 Luo, Xinggang
1 Mahmoud, Emad E.
1 Mahmudov, Nazim Idrisoglu
1 Matviĭchuk, Aleksandr Rostislavovich
1 Matychyn, Ivan I.
1 Mitrovic, Darko
1 Mukhsinov, Edgor Mirzoevich
1 Nawaz, Rashid
1 Onyshchenko, Viktoriia
1 Peng, Yunfei
1 Plaksin, R. A.
1 Rozanski, Michal
1 Saïdi, Soumia
1 Shah, Kamal
1 Shao, Menghao
1 Sikora, Beata
1 Smuda, Adrian
1 Sooppy Nisar, Kottakkaran
1 Soroka, M. S.
1 Soroka, Maria
1 Teo, Kok Lay
1 Tripathi, Vidushi
1 Ukhobotov, Viktor Ivanovich
1 Ul'vacheva, T. A.
1 Ushakov, Andreĭ Vladimirovich
1 Wang, Lanfang
1 Wang, Song
1 Webb, Jeffrey Ronald Leslie
1 Wen, Chingfeng
1 Wituła, Roman
...and 7 more Authors
alltop 5

Cited in 46 Serials

15 Proceedings of the Steklov Institute of Mathematics
8 Differential Equations
6 Applied Mathematics and Optimization
6 Fractional Calculus \& Applied Analysis
5 SIAM Journal on Control and Optimization
4 Archives of Control Sciences
4 Communications in Nonlinear Science and Numerical Simulation
4 Dynamic Games and Applications
4 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
4 Ural Mathematical Journal
3 Doklady Mathematics
3 Mathematical Control and Related Fields
2 Russian Mathematical Surveys
2 Journal of Computational and Applied Mathematics
2 Siberian Mathematical Journal
2 Computational Mathematics and Mathematical Physics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Lobachevskii Journal of Mathematics
2 Matematicheskaya Teoriya Igr i eë Prilozheniya
2 Journal of Nonlinear and Variational Analysis
1 Journal of Applied Mathematics and Mechanics
1 Mathematical Notes
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Results in Mathematics
1 Optimization
1 The Journal of Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 Fractals
1 NoDEA. Nonlinear Differential Equations and Applications
1 Sbornik: Mathematics
1 Differentsial'nye Uravneniya i Protsessy Upravleniya
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Applied Mathematics and Computing
1 Advances in Difference Equations
1 Journal of Industrial and Management Optimization
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
1 Minimax Theory and its Applications
1 Matematicheskie Zametki SVFU
1 Mechanics of Solids
1 Vestnik Rossiĭskikh Universitetov. Matematika
alltop 5

Cited in 18 Fields

52 Ordinary differential equations (34-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Real functions (26-XX)
27 Partial differential equations (35-XX)
23 Systems theory; control (93-XX)
14 Operator theory (47-XX)
6 Integral equations (45-XX)
6 Numerical analysis (65-XX)
4 Probability theory and stochastic processes (60-XX)
4 Operations research, mathematical programming (90-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Integral transforms, operational calculus (44-XX)
2 Biology and other natural sciences (92-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Mechanics of deformable solids (74-XX)
1 Quantum theory (81-XX)

Citations by Year

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