Edit Profile (opens in new tab) Gusev, Mikhail Ivanovich Co-Author Distance Author ID: gusev.mikhail-i Published as: Gusev, M. I.; Gusev, Mikhail I.; Gusev, Mikhail; Gusev, Mikhail Ivanovich more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 46 Publications since 1962 3 Contributions as Editor Co-Authors: 24 Co-Authors with 18 Joint Publications 1,303 Co-Co-Authors all top 5 Co-Authors 31 single-authored 7 Kurzhanskiĭ, Aleksandr Borisovich 3 Zykov, Igor’ Vladimirovich 2 Krasovskiĭ, Nikolaĭ Nikolaevich 2 Osipov, Ivan Olegovich 2 Osipov, Yuriĭ Sergeevich 1 Anikin, S. A. 1 Berdyshev, Vitaliĭ Ivanovich 1 Chernous’ko, Feliks Leonidovich 1 Emel’yanov, Stanislav Vasil’evich 1 Filippova, Tat’yana Fëdorovna 1 Gaĭshun, Ivan Vasil’evich 1 Il’in, Vladimir Aleksandrovich 1 Izobov, Nikolaĭ Alekseevich 1 Korovin, Sergeĭ Konstantinovich 1 Kozlov, Valeriĭ Vasil’evich 1 Marchuk, Guriĭ Ivanovich 1 Mishchenko, Evgeniĭ Frolovich 1 Moiseev, Evgeniĭ Ivanovich 1 Romanov, Sergei A. 1 Sadovnichiĭ, Viktor Antonovich 1 Shemyakina, Tamara Kuz’minichna 1 Ushakov, Vladimir Nikolaevich 1 Vasilev, Stanislav Nikolaevich 1 Vasil’eva, Ekaterina Vladimirovna all top 5 Serials 11 Proceedings of the Steklov Institute of Mathematics 4 Ural Mathematical Journal 3 Differential Equations 3 Soviet Mathematics. Doklady 3 Automation and Remote Control 2 Differentsial’nye Uravneniya 1 Soviet Journal of Computer and Systems Sciences 1 Problems of Control and Information Theory 1 Journal of Computer and Systems Sciences International 1 Discrete and Continuous Dynamical Systems 1 Differential Equations 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet all top 5 Fields 39 Systems theory; control (93-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 84 times in 62 Documents Cited by ▼ Year ▼ On extremal properties of the boundary points of reachable sets for control systems with integral constraints. Zbl 1395.49017 Gusev, M. I.; Zykov, I. V. 9 2018 External estimates of the reachability sets of nonlinear controlled systems. Zbl 1307.93064 Gusev, M. I. 9 2012 Optimization of controlled systems with restrictions. I. Zbl 0226.49006 Gusev, M. I.; Kurzhanskij, A. B. 9 1971 Estimates of reachable sets of multidimensional control systems with nonlinear interconnections. Zbl 1226.93022 Gusev, M. I. 9 2010 Internal approximations of reachable sets of control systems with state constraints. Zbl 1305.93033 Gusev, M. I. 7 2014 On optimal control problem for the bundle of trajectories of uncertain system. Zbl 1280.93092 Gusev, Mikhail I. 5 2010 Estimates of the minimal eigenvalue of the controllability Gramian for a system containing a small parameter. Zbl 1441.93027 Gusev, Mikhail 4 2019 On external estimates for reachable sets of nonlinear control systems. Zbl 1294.93019 Gusev, M. I. 4 2011 On reachability analysis of nonlinear systems with joint integral constraints. Zbl 1447.93017 Gusev, Mikhail 3 2018 Multicriterial game-theoretic problems of control for systems with incomplete information. Zbl 0457.93047 Kurzhanskii, A. B.; Gusev, M. I. 3 1979 On the method of penalty functions for control systems with state constraints under integral constraints on the control. Zbl 1505.93096 Gusev, M. I. 3 2022 The limits of applicability of the linearization method in calculating small-time reachable sets. Zbl 1448.93050 Gusev, Mikhail I. 2 2020 A numerical method for solving linear-quadratic control problems with constraints. Zbl 1413.49043 Gusev, Mikhail I.; Zykov, Igor V. 2 2016 On reachability analysis for nonlinear control systems with state constraints. Zbl 1332.93048 Gusev, Mikhail 2 2015 Optimization of controlled systems with resrictions. II. Zbl 0226.49007 Gusev, M. I.; Kurzhanskij, A. B. 2 1971 Estimation of perturbing forces according to measurements of parameters of motion. Zbl 0715.49029 Anikin, S. A.; Gusev, M. I. 2 1986 On a local synthesis problem for nonlinear systems with integral constraints. Zbl 1507.93035 Gusev, Mikhail Ivanovich; Osipov, Ivan Olegovich 2 2022 On the geometry of reachable sets for control systems with isoperimetric constraints. Zbl 1421.93016 Gusev, M. I.; Zykov, I. V. 1 2019 An algorithm for computing boundary points of reachable sets of control systems under integral constraints. Zbl 1448.93019 Gusev, Mikhail I. 1 2017 On elimination of state constraints in the construction of reachable sets. Zbl 1341.93010 Gusev, M. I. 1 2016 Vector optimization of linear systems. Zbl 0289.49014 Gusev, M. I. 1 1972 Alexander Borisovich Kurzhanski (On the occasion of his 70th birthday). Zbl 1225.01054 Berdyshev, V. I.; Gusev, M. I.; Krasovskii, N. N.; Osipov, Yu. S.; Ushakov, V. N. 1 2010 Experiment design in guaranteed identification. Zbl 1146.93015 Gusev, M. I. 1 2007 Measurement optimization in the problem of estimating the state of a dynamical system with geometrical restrictions on the noise. Zbl 0713.93016 Gusev, M. I. 1 1988 On the method of penalty functions for control systems with state constraints under integral constraints on the control. Zbl 1505.93096 Gusev, M. I. 3 2022 On a local synthesis problem for nonlinear systems with integral constraints. Zbl 1507.93035 Gusev, Mikhail Ivanovich; Osipov, Ivan Olegovich 2 2022 The limits of applicability of the linearization method in calculating small-time reachable sets. Zbl 1448.93050 Gusev, Mikhail I. 2 2020 Estimates of the minimal eigenvalue of the controllability Gramian for a system containing a small parameter. Zbl 1441.93027 Gusev, Mikhail 4 2019 On the geometry of reachable sets for control systems with isoperimetric constraints. Zbl 1421.93016 Gusev, M. I.; Zykov, I. V. 1 2019 On extremal properties of the boundary points of reachable sets for control systems with integral constraints. Zbl 1395.49017 Gusev, M. I.; Zykov, I. V. 9 2018 On reachability analysis of nonlinear systems with joint integral constraints. Zbl 1447.93017 Gusev, Mikhail 3 2018 An algorithm for computing boundary points of reachable sets of control systems under integral constraints. Zbl 1448.93019 Gusev, Mikhail I. 1 2017 A numerical method for solving linear-quadratic control problems with constraints. Zbl 1413.49043 Gusev, Mikhail I.; Zykov, Igor V. 2 2016 On elimination of state constraints in the construction of reachable sets. Zbl 1341.93010 Gusev, M. I. 1 2016 On reachability analysis for nonlinear control systems with state constraints. Zbl 1332.93048 Gusev, Mikhail 2 2015 Internal approximations of reachable sets of control systems with state constraints. Zbl 1305.93033 Gusev, M. I. 7 2014 External estimates of the reachability sets of nonlinear controlled systems. Zbl 1307.93064 Gusev, M. I. 9 2012 On external estimates for reachable sets of nonlinear control systems. Zbl 1294.93019 Gusev, M. I. 4 2011 Estimates of reachable sets of multidimensional control systems with nonlinear interconnections. Zbl 1226.93022 Gusev, M. I. 9 2010 On optimal control problem for the bundle of trajectories of uncertain system. Zbl 1280.93092 Gusev, Mikhail I. 5 2010 Alexander Borisovich Kurzhanski (On the occasion of his 70th birthday). Zbl 1225.01054 Berdyshev, V. I.; Gusev, M. I.; Krasovskii, N. N.; Osipov, Yu. S.; Ushakov, V. N. 1 2010 Experiment design in guaranteed identification. Zbl 1146.93015 Gusev, M. I. 1 2007 Measurement optimization in the problem of estimating the state of a dynamical system with geometrical restrictions on the noise. Zbl 0713.93016 Gusev, M. I. 1 1988 Estimation of perturbing forces according to measurements of parameters of motion. Zbl 0715.49029 Anikin, S. A.; Gusev, M. I. 2 1986 Multicriterial game-theoretic problems of control for systems with incomplete information. Zbl 0457.93047 Kurzhanskii, A. B.; Gusev, M. I. 3 1979 Vector optimization of linear systems. Zbl 0289.49014 Gusev, M. I. 1 1972 Optimization of controlled systems with restrictions. I. Zbl 0226.49006 Gusev, M. I.; Kurzhanskij, A. B. 9 1971 Optimization of controlled systems with resrictions. II. Zbl 0226.49007 Gusev, M. I.; Kurzhanskij, A. B. 2 1971 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 16 Gusev, Mikhail Ivanovich 10 Ushakov, Vladimir Nikolaevich 7 Ushakov, Andreĭ Vladimirovich 6 Ershov, Aleksandr Anatol’evich 6 Kurzhanskiĭ, Aleksandr Borisovich 4 Osipov, Ivan Olegovich 4 Zykov, Igor’ Vladimirovich 3 Filippova, Tat’yana Fëdorovna 3 Huseyin, Anar 3 Kostousova, Elena K. 3 Parshikov, Grigoriĭ Virktorovich 2 Anan’ev, Boris Ivanovich 2 Huseyin, Nesir 2 Kuvshinov, Oleg Aleksandrovich 2 Matviychuk, Oksana G. 2 Nikol’skiĭ, Mikhaĭl Sergeevich 2 Ukhobotov, Viktor Ivanovich 2 Varaiya, Pravin Pratap 1 Anikin, S. A. 1 Chikriĭ, Arkadiĭ Alekseevich 1 Chikrii, Greta Ts. 1 Eremin, Ivan Ivanovich 1 Fedotov, Andrey A. 1 Gamkrelidze, Revaz Valerianovich 1 Grigorenko, Nikolaĭ Leont’evich 1 Grigor’ev, N. V. 1 Guseinov, Khalik G. 1 Izmest’ev, Igor’ Vyacheslavovich 1 Krasovskiĭ, Nikolaĭ Nikolaevich 1 Matviĭchuk, Aleksandr Rostislavovich 1 Matviichuk, O. G. 1 Mil’shtejn, G. N. 1 Mitchell, Ian M. 1 Patsko, Valerii S. 1 Pattison, Philippa E. 1 Robins, Garry L. 1 Rumyantsev, A. E. 1 Snijders, Tom A. B. 1 Solov’eva, O. Eh. 1 Subbotina, Nina N. 1 Trubnikov, Georgiĭ I. 1 Tynyanskij, N. T. 1 Wang, Peng 1 Zhukovskiĭ, Vladislav Iosifovich all top 5 Cited in 21 Serials 19 Proceedings of the Steklov Institute of Mathematics 6 Ural Mathematical Journal 4 Automation and Remote Control 4 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Doklady Mathematics 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Mechanics of Solids 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Ukrainian Mathematical Journal 1 Prikladnaya Matematika i Mekhanika 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Journal of Mathematical Psychology 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Moscow University Computational Mathematics and Cybernetics 1 Sbornik: Mathematics 1 Journal of Applied Analysis all top 5 Cited in 22 Fields 50 Systems theory; control (93-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year