Edit Profile (opens in new tab) Gomoyunov, Mikhail Igorevich Co-Author Distance Author ID: gomoyunov.mikhail-igorevich Published as: Gomoyunov, M. I.; Gomoyunov, Mikhail I.; Gomoyunov, Mikhail; Gomoyunov, Mikhail Igorevich; Gomoyunov, Mikhaĭl Igor’evich more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 38 Publications since 2011 Co-Authors: 5 Co-Authors with 23 Joint Publications 3 Co-Co-Authors Co-Authors 15 single-authored 15 Lukoyanov, Nikolaĭ Yur’evich 6 Plaksin, Anton Romanovich 4 Serkov, Dmitriĭ Aleksandrovich 3 Kornev, Dmitriĭ Vasil’evich 1 Plaksin, R. A. all top 5 Serials 10 Proceedings of the Steklov Institute of Mathematics 3 Fractional Calculus & Applied Analysis 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 Applied Mathematics and Optimization 2 Differential Equations 1 Journal of Functional Analysis 1 SIAM Journal on Control and Optimization 1 Archives of Control Sciences 1 Doklady Mathematics 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 Ural Mathematical Journal 1 Mechanics of Solids all top 5 Fields 27 Calculus of variations and optimal control; optimization (49-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 6 Real functions (26-XX) 6 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 121 times in 63 Documents Cited by ▼ Year ▼ Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems. Zbl 1426.34012Gomoyunov, Mikhail I. 20 2018 Solution to a zero-sum differential game with fractional dynamics via approximations. Zbl 1443.91054Gomoyunov, Mikhail 11 2020 Hamilton-Jacobi functional equations and differential games for neutral-type systems. Zbl 1387.49051Lukoyanov, N. Yu.; Gomoyunov, M. I.; Plaksin, A. R. 10 2017 Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems. Zbl 1452.49017Gomoyunov, Mikhail I. 10 2020 Extremal shift to accompanying points in a positional differential game for a fractional-order system. Zbl 1444.91038Gomoyunov, M. I. 8 2020 On representation formulas for solutions of linear differential equations with Caputo fractional derivatives. Zbl 1488.34036Gomoyunov, Mikhail I. 8 2020 Guarantee optimization in functional-differential systems with a control aftereffect. Zbl 1423.49031Gomoyunov, M. I.; Lukoyanov, N. Yu. 6 2012 Path-dependent Hamilton-Jacobi equations: the minimax solutions revised. Zbl 1476.49032Gomoyunov, Mikhail I.; Lukoyanov, Nikolai Yu.; Plaksin, Anton R. 6 2021 Differential games on minmax of the positional quality index. Zbl 1431.91037Lukoyanov, Nikolai; Gomoyunov, Mikhail 5 2019 To the theory of differential inclusions with Caputo fractional derivatives. Zbl 1458.34018Gomoyunov, M. I. 5 2020 On the numerical solution of differential games for neutral-type linear systems. Zbl 1401.49056Gomoyunov, M. I.; Lukoyanov, N. Yu. 4 2018 Existence of a value and a saddle point in positional differential games for neutral-type systems. Zbl 1410.91096Gomoyunov, M. I.; Lukoyanov, N. Yu.; Plaksin, A. R. 4 2017 Optimal control problems with a fixed terminal time in linear fractional-order systems. Zbl 1457.49024Gomoyunov, Mikhail I. 4 2020 Control with a guide in the guarantee optimization problem under functional constraints on the disturbance. Zbl 1387.49055Gomoyunov, M. I.; Serkov, D. A. 3 2017 On the stability of a procedure for solving a minimax control problem for a positional functional. Zbl 1317.49007Gomoyunov, M. I.; Lukoyanov, N. Yu. 3 2015 On calculating the value of a differential game in the class of counter strategies. Zbl 1398.91087Gomoyunov, Mikhail I.; Kornev, Dmitry V. 2 2016 Approximation of minimax solutions of Hamilton-Jacobi functional equations for time-delay systems. Zbl 1421.49005Gomoyunov, M. I.; Lukoyanov, N. Yu.; Plaksin, A. R. 2 2019 The optimization of a guaranteed result with a delay in the control. Zbl 1432.49052Gomoyunov, M. I. 1 2013 Differential games in fractional-order systems: inequalities for directional derivatives of the value functional. Zbl 1482.91029Gomoyunov, M. I.; Lukoyanov, N. Yu. 1 2021 Minimax solutions of homogeneous Hamilton-Jacobi equations with fractional-order coinvariant derivatives. Zbl 1482.35075Gomoyunov, M. I. 1 2021 Linear-convex guarantee optimization problems with control delay. Zbl 1331.49049Gomoyunov, M. I. 1 2015 Game theory applications to guarantee optimization in dynamical systems with control delays. Zbl 1287.49039Gomoyunov, Mikhail; Kornev, Dmitri; Lukoyanov, Nikolai 1 2014 On the problem of optimizing the guarantee in a system with delay in control. Zbl 1299.49058Gomoyunov, M. I. 1 2011 On the numerical solution of a minimax control problem with a positional functional. Zbl 1336.49037Gomoyunov, M. I.; Kornev, D. V.; Lukoyanov, N. Yu. 1 2015 Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. Zbl 1519.49028Gomoyunov, Mikhail 1 2023 On basic equation of differential games for neutral-type systems. Zbl 1460.91037Gomoyunov, M. I.; Plaksin, R. A. 1 2019 Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances. Zbl 1479.49085Gomoyunov, Mikhaĭl Igor’evich; Serkov, Dmitriĭ Aleksandrovich 1 2020 Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. Zbl 1519.49028Gomoyunov, Mikhail 1 2023 Path-dependent Hamilton-Jacobi equations: the minimax solutions revised. Zbl 1476.49032Gomoyunov, Mikhail I.; Lukoyanov, Nikolai Yu.; Plaksin, Anton R. 6 2021 Differential games in fractional-order systems: inequalities for directional derivatives of the value functional. Zbl 1482.91029Gomoyunov, M. I.; Lukoyanov, N. Yu. 1 2021 Minimax solutions of homogeneous Hamilton-Jacobi equations with fractional-order coinvariant derivatives. Zbl 1482.35075Gomoyunov, M. I. 1 2021 Solution to a zero-sum differential game with fractional dynamics via approximations. Zbl 1443.91054Gomoyunov, Mikhail 11 2020 Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems. Zbl 1452.49017Gomoyunov, Mikhail I. 10 2020 Extremal shift to accompanying points in a positional differential game for a fractional-order system. Zbl 1444.91038Gomoyunov, M. I. 8 2020 On representation formulas for solutions of linear differential equations with Caputo fractional derivatives. Zbl 1488.34036Gomoyunov, Mikhail I. 8 2020 To the theory of differential inclusions with Caputo fractional derivatives. Zbl 1458.34018Gomoyunov, M. I. 5 2020 Optimal control problems with a fixed terminal time in linear fractional-order systems. Zbl 1457.49024Gomoyunov, Mikhail I. 4 2020 Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances. Zbl 1479.49085Gomoyunov, Mikhaĭl Igor’evich; Serkov, Dmitriĭ Aleksandrovich 1 2020 Differential games on minmax of the positional quality index. Zbl 1431.91037Lukoyanov, Nikolai; Gomoyunov, Mikhail 5 2019 Approximation of minimax solutions of Hamilton-Jacobi functional equations for time-delay systems. Zbl 1421.49005Gomoyunov, M. I.; Lukoyanov, N. Yu.; Plaksin, A. R. 2 2019 On basic equation of differential games for neutral-type systems. Zbl 1460.91037Gomoyunov, M. I.; Plaksin, R. A. 1 2019 Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems. Zbl 1426.34012Gomoyunov, Mikhail I. 20 2018 On the numerical solution of differential games for neutral-type linear systems. Zbl 1401.49056Gomoyunov, M. I.; Lukoyanov, N. Yu. 4 2018 Hamilton-Jacobi functional equations and differential games for neutral-type systems. Zbl 1387.49051Lukoyanov, N. Yu.; Gomoyunov, M. I.; Plaksin, A. R. 10 2017 Existence of a value and a saddle point in positional differential games for neutral-type systems. Zbl 1410.91096Gomoyunov, M. I.; Lukoyanov, N. Yu.; Plaksin, A. R. 4 2017 Control with a guide in the guarantee optimization problem under functional constraints on the disturbance. Zbl 1387.49055Gomoyunov, M. I.; Serkov, D. A. 3 2017 On calculating the value of a differential game in the class of counter strategies. Zbl 1398.91087Gomoyunov, Mikhail I.; Kornev, Dmitry V. 2 2016 On the stability of a procedure for solving a minimax control problem for a positional functional. Zbl 1317.49007Gomoyunov, M. I.; Lukoyanov, N. Yu. 3 2015 Linear-convex guarantee optimization problems with control delay. Zbl 1331.49049Gomoyunov, M. I. 1 2015 On the numerical solution of a minimax control problem with a positional functional. Zbl 1336.49037Gomoyunov, M. I.; Kornev, D. V.; Lukoyanov, N. Yu. 1 2015 Game theory applications to guarantee optimization in dynamical systems with control delays. Zbl 1287.49039Gomoyunov, Mikhail; Kornev, Dmitri; Lukoyanov, Nikolai 1 2014 The optimization of a guaranteed result with a delay in the control. Zbl 1432.49052Gomoyunov, M. I. 1 2013 Guarantee optimization in functional-differential systems with a control aftereffect. Zbl 1423.49031Gomoyunov, M. I.; Lukoyanov, N. Yu. 6 2012 On the problem of optimizing the guarantee in a system with delay in control. Zbl 1299.49058Gomoyunov, M. I. 1 2011 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 24 Gomoyunov, Mikhail Igorevich 10 Lukoyanov, Nikolaĭ Yur’evich 7 Plaksin, Anton Romanovich 6 Surkov, Platon Gennad’evich 4 Machtakova, Alëna Igor’evna 4 Petrov, Nikolaĭ Nikandrovich 3 Serkov, Dmitriĭ Aleksandrovich 3 Ushakov, Vladimir Nikolaevich 2 Ardjouni, Abdelouaheb 2 Kornev, Dmitriĭ Vasil’evich 2 Lastra, Alberto 2 Michalik, Sławomir 2 Suwińska, Maria 1 Abdeljawad, Thabet 1 Ahsan, Sumbal 1 Alqarni, M. M. 1 Bayraktar, Erhan 1 Bouach, Abderrahim 1 Braun, Moritz 1 Chen, Song 1 Chen, Tehuan 1 Chu, Jian 1 Djoudi, Ahcene 1 Dolgiĭ, Yuriĭ Filippovich 1 Duarte-Mermoud, Manuel Armando 1 Ershov, Aleksandr Anatol’evich 1 Gallegos, Javier A. 1 Haddad, Tahar 1 Han, Shuo 1 Jolić, Maja 1 Kaise, Hidehiro 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Keller, Christian 1 Konjik, Sanja 1 Kornev, Sergeĭ Viktorovich 1 Lin, Ping 1 Lipin, Anton Evgen’evich 1 Mahmoud, Emad E. 1 Mahmudov, Elimhan Nadir 1 Matychyn, Ivan I. 1 Mukhsinov, Edgor Mirzoevich 1 Nawaz, Rashid 1 Obukhovskiĭ, Valeriĭ Vladimirovich 1 Onyshchenko, Viktoriia 1 Plaksin, R. A. 1 Rozanski, Michal 1 Shah, Kamal 1 Sikora, Beata 1 Smuda, Adrian 1 Sooppy Nisar, Kottakkaran 1 Taras’ev, Aleksandr Mikhaĭlovich 1 Ukhobotov, Viktor Ivanovich 1 Wang, Lanfang 1 Wituła, Roman 1 Wong, Ngai-Ching 1 Xu, Chao 1 Yong, Jiongmin 1 Yusubov, Shakir Sh. 1 Zeng, Shengda 1 Zhong, Wenyong all top 5 Cited in 28 Serials 12 Proceedings of the Steklov Institute of Mathematics 6 Fractional Calculus & Applied Analysis 5 Differential Equations 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Dynamic Games and Applications 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Ural Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Archives of Control Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Journal of Applied Mathematics and Mechanics 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Results in Mathematics 1 Computational Mathematics and Mathematical Physics 1 Turkish Journal of Mathematics 1 Fractals 1 Sbornik: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 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 Mathematical Control and Related Fields 1 Journal of Nonlinear and Variational Analysis 1 Mechanics of Solids all top 5 Cited in 15 Fields 24 Calculus of variations and optimal control; optimization (49-XX) 23 Ordinary differential equations (34-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Real functions (26-XX) 14 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 3 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Citations by Year