Edit Profile Zelikin, Mikhail Il’ich Compute Distance To: Compute Author ID: zelikin.mikhail-i Published as: Zelikin, M.; Zelikin, M. I.; Zelikin, Michail I.; Zelikin, Mikhail I. Homepage: http://www.mi.ras.ru/index.php?c=pubs&id=8494&showmode=years&showall=show&l=1 External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate Documents Indexed: 100 Publications since 1958, including 4 Books all top 5 Co-Authors 47 single-authored 15 Borisov, V. F. 9 Lokutsievskiy, Lev Viacheslavovich 7 Osipov, Yuriĭ Sergeevich 6 Hildebrand, Roland 6 Zelikina, L. F. 5 Manita, Larissa A. 4 Arnol’d, Vladimir Igorevich 3 Anosov, Dmitriĭ Viktorovich 3 Mishchenko, Evgeniĭ Frolovich 3 Sinaĭ, Yakov Grigor’evich 3 Tikhomirov, Vladimir Mikhaĭlovich 2 Aseev, Sergei M. 2 Davydov, Alekseĭ Aleksandrovich 2 Gael’, V. V. 2 Gonchar, Andreĭ Aleksandrovich 2 Kozlov, Valeriĭ Vasil’evich 2 Lokutsievskij, O. V. 2 Melnikov, Nikolai B. 2 Novikov, Sergeĭ Petrovich 2 Sternin, Boris Yur’evich 2 Yakobson, M. V. 1 Agrachev, Andreĭ Aleksandrovich 1 Bakhvalov, Nikolai Sergeevich 1 Besov, Konstantin O. 1 Bolibrukh, Andreĭ Andreevich 1 Borisov, B. F. 1 Bukhshtaber, Viktor Matveevich 1 Chubarikov, Vladimir Nikolaevich 1 Demidov, A. V. 1 Demidov, Sergeĭ Sergeevich 1 Faddeev, Lyudvig Dmitrievich 1 Faminskii, Andrei V. 1 Gamkrelidze, Revaz Valerianovich 1 Grigorchuk, Rostislav Ivanovich 1 Grigorenko, Nikolaĭ Leont’evich 1 Grines, Vyacheslav Zigmundovich 1 Gurevich, B. M. 1 Ilyashenko, Yulij Sergeevich 1 Irmatov, Anwar A. 1 Kalashnikov, Anatolii S. 1 Kamynin, Vitaly L. 1 Katok, Anatole B. 1 Khlyustov, K. V. 1 Kiselev, Denis Dmitrievich 1 Klimenko, Alexey V. 1 Kolesov, Andreĭ Yur’evich 1 Kolmogorov, Andreĭ Nikolaevich 1 Kolomogorov, A. N. 1 Konovalov, S. P. 1 Krasovskiĭ, Nikolaĭ Nikolaevich 1 Kryazhimskiĭ, Arkadiĭ Viktorovich 1 Kurzhanski, Alexander Borisovich 1 Leksin, Vladimir Pavlovich 1 Lupanov, Oleg Borisovich 1 Magaril-Il’yaev, Gregoriĭ Geogrievich 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Manuĭlov, Vladimir Markovich 1 Mishchenko, Aleksandr Sergeevich 1 Monastyrskiĭ, Mikhail Il’ich 1 Neishtadt, Anatoly I. 1 Nikol’skiĭ, Mikhaĭl Sergeevich 1 Oleĭnik, Ol’ga Arsen’evna 1 Osipenko, Konstantin Yur’evich 1 Panov, Evgeniy Yu. 1 Petrosyan, N. S. 1 Postnikov, Mikhail Mikhaĭlovich 1 Rozov, Nikolaĭ Khristovich 1 Sataev, Evgueni A. 1 Sergeev, Armen Glebovich 1 Skopincev, S. V. 1 Solov’ëv, Yuriĭ Petrovich 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stepin, Anatolii Mikhailovich 1 Treshchev, Dmitriĭ Valer’evich 1 Troitskiĭ, Evgeniĭ Vadimovich 1 Tsfasman, Michael A. 1 Tynyanskij, N. T. 1 Usachev, R. A. 1 Uspenskiĭ, Vladimir Andreevich 1 Vladimirov, Vasiliĭ Sergeevich 1 Volevich, Leonid Romanovich 1 Volkov, Evgeniĭ Alekseevich 1 Vyalyi, Mikhail N. 1 Yaschenko, Ivan V. 1 Zhirov, Aleksei Yu 1 Zhizhchenko, Alexey B. 1 Zhuzhoma, Evgeniĭ Viktorovich all top 5 Serials 12 Journal of Mathematical Sciences (New York) 9 Russian Mathematical Surveys 7 Doklady Mathematics 7 Proceedings of the Steklov Institute of Mathematics 6 Sbornik: Mathematics 5 Soviet Mathematics. Doklady 5 Russian Journal of Mathematical Physics 3 Uspekhi Matematicheskikh Nauk [N. S.] 2 Mathematical Notes 2 Prikladnaya Matematika i Mekhanika 2 Mathematics of the USSR, Sbornik 2 Izvestiya: Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Matematicheskie Zametki 1 Differential Equations 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Problems of Control and Information Theory 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Physics-Doklady 1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya 1 Fundamental’naya i Prikladnaya Matematika 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Moscow Mathematical Journal 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki 1 Systems & Control: Foundations & Applications 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 65 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 History and biography (01-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of particles and systems (70-XX) 9 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 7 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 57 Publications have been cited 243 times in 148 Documents Cited by ▼ Year ▼ Theory of chattering control with applications to astronautics, robotics, economics, and engineering. Zbl 0820.70003Zelikin, M. I.; Borisov, V. F. 75 1994 Homogeneous spaces and the Riccati equation in the calculus of variations. Zbl 0951.49001Zelikin, M. I. 19 1998 Regimes with frequented switchings in problems of optimal control. Zbl 0774.49004Zelikin, M. I.; Borisov, V. F. 12 1991 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002Zelikin, M. I. 9 2000 Singular optimal regimes in problems of mathematical economics. Zbl 1088.49022Zelikin, M. I.; Borisov, V. F. 7 2003 Geometry of neighborhoods of singular trajectories in problems with multidimensional control. Zbl 1309.49021Zelikin, M. I.; Lokutsievskiy, L. V.; Hildebrand, R. 6 2012 Regimes with increasingly more frequent switchings in optimal control problems. Zbl 0782.49002Zelikin, M. I.; Borisov, V. F. 6 1991 Modes with switchings of increasing frequency in the problem of controlling a robot. Zbl 0711.70037Borisov, V. F.; Zelikin, M. I. 6 1988 Optimal chattering feedback control. Zbl 1024.49021Zelikin, M. I.; Borisov, V. F. 5 2001 Fields of optimal trajectories containing singular second order extremals and extremals with frequent switchings. Zbl 0699.49005Zelikin, M. I.; Borisov, V. F. 5 1989 Optimal modes with more frequent switchings in control problem for the Timoshenko beam. Zbl 1114.74416Zelikin, M. I.; Manita, L. A. 4 2006 One-parameter families of solutions to a class of PDE optimal control problems. Zbl 0892.93038Zelikin, M. I. 4 1997 The Fuller phenomenon in problems of vibration of two linked oscillators. Zbl 1058.49500Zelikin, M. I. 4 1996 Synthesis in optimal control problems containing trajectories with increasing switching frequency and singular trajectories of second order. Zbl 0698.49010Zelikin, M. I.; Borisov, V. F. 4 1990 On a differential game with incomplete information. Zbl 0256.90063Zelikin, M. I. 4 1972 Optimal control and Galois theory. Zbl 1286.49009Zelikin, M. I.; Kiselev, D. D.; Lokutsievskiy, L. V. 3 2013 Generic fractal structure of finite parts of trajectories of piecewise smooth Hamiltonian systems. Zbl 1276.70015Hildebrand, R.; Lokutsievskiy, L. V.; Zelikin, M. I. 3 2013 Accumulation of switchings in distributed parameter problems. Zbl 1154.74032Zelikin, M. I.; Manita, L. A. 3 2008 Singular stratified manifolds of involutive controlled systems. Zbl 1039.49031Zelikina, L. F.; Zelikin, M. I.; Khlyustov, K. V. 3 2001 Optimum control of solid body rotation. Zbl 0900.70400Zelikin, M. I. 3 1996 Irregularity of optimal control in regular extremal problems. Zbl 0873.49002Zelikin, M. I. 3 1995 On the theory of the matrix Riccati equation. II. Zbl 0786.49023Zelikin, M. I. 3 1992 On a system of integral equations that arises in the problem of S. L. Sobolev. Zbl 0358.35028Zelikin, M. I.; Sternin, B. Yu. 3 1977 Hessian measures in the aerodynamic Newton problem. Zbl 06909124Lokutsievskiy, L. V.; Zelikin, M. I. 2 2018 Higher-order elastics and elastic hulls. Zbl 1283.49061Osipov, Yu. S.; Zelikin, M. I. 2 2012 Multidimensional generalizations of Jacobi’s envelope theorem. Zbl 1254.53070Osipov, Yu. S.; Zelikin, M. I. 2 2012 Theory of fields of extremals for multiple integrals. Zbl 1230.49040Zelikin, M. I. 2 2011 Optimal synthesis in an infinite-dimensional space. Zbl 1302.49047Borisov, V. F.; Zelikin, M. I.; Manita, L. A. 2 2010 Extremals with accumulation of switchings in an infinite-dimensional space. Zbl 1202.49002Borisov, B. F.; Zelikin, M. I.; Manita, L. A. 2 2009 Geometry of operator cross ratio. Zbl 1144.37031Zelikin, M. I. 2 2006 Optimal control for a Timoshenko beam. Zbl 1107.74034Zelikin, Michail I.; Manita, Larissa A. 2 2006 The topological structure of the phase portrait of a typical fiber of optimal synthesis for chattering problems. Zbl 1014.49030Zelikin, M. I.; Melnikov, N. B.; Hildebrand, R. 2 2001 The deviation of a functional from the optimal value under chattering exponentially decays as the number of switchings tends to infinity. Zbl 0986.49022Zelikin, M. I.; Zelikina, L. F. 2 1999 On the theory of the Riccati matrix equation. Zbl 0747.49006Zelikin, M. I. 2 1991 Optimal synthesis containing chattering arcs and singular arcs of the second order. Zbl 0745.49021Zelikin, M. I.; Borisov, V. F. 2 1991 Groupsymmetry in degenerate extremal problems. Zbl 0654.49020Zelikin, M. I. 2 1988 Optimal control and variational calculus. Textbook. (Optimal’noe upravlenie i variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0678.49001Zelikin, M. I. 2 1985 Minimization of integrals of differential forms and degenerate variational problems. Zbl 0593.49030Zelikin, M. I. 2 1985 The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary. Zbl 1439.49058Lokutsievskiy, L. V.; Zelikin, M. I. 1 2020 Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side. Zbl 1385.49024Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. 1 2017 On optimal harvesting of a resource on a circle. Zbl 1380.91116Zelikin, M. I.; Lokutsievskiy, L. V.; Skopincev, S. V. 1 2017 Fractal theory of Saturn’s ring. Zbl 1337.85001Zelikin, M. I. 1 2015 Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians. Zbl 1294.37022Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. 1 2013 Accumulation of tangent points with the boundary and Lagrangian manifolds in problems with phase constraints. Zbl 1290.49071Zelikin, M. I.; Gael, V. V. 1 2011 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 Criterion for the symmetry of a spectrum. Zbl 1166.47008Zelikin, M. I. 1 2008 Optimal problems on Hölder function spaces. Zbl 1110.49006Zelikin, M. I. 1 2004 Hessian of the solution of the Hamilton-Jacobi equation in the theory of extremal problems. Zbl 1059.49030Zelikin, M. I. 1 2004 The \(\zeta\)-function of cross-ratio on Sato’s Grassmannian as an integral invariant of the Kadomtsev-Petviashvili hierarchy. Zbl 1247.37073Zelikin, M. I. 1 2003 Asymptotics of optimal synthesis for a class of extremal problems. Zbl 1014.49028Zelikin, M. I.; Zelikina, L. F.; Hildebrand, R. 1 2001 Synthesis of optimal trajectories that defines the Reeb foliation. Zbl 1014.49029Zelikin, M. I. 1 2001 Totally extremal manifolds for optimal control problems. Zbl 0861.49003Zelikin, Mikhail I. 1 1995 On the theory of the matrix Riccati equation. Zbl 0774.49003Zelikin, M. I. 1 1992 Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order. Zbl 0709.49002Zelikin, M. I.; Borisov, V. F. 1 1990 On the singular arcs. Zbl 0585.49012Zelikin, M. I. 1 1985 Necessary conditions of optimality of singular trajectories in linear control problems. Zbl 0646.49009Zelikin, M. I. 1 1984 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolomogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 1981 The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary. Zbl 1439.49058Lokutsievskiy, L. V.; Zelikin, M. I. 1 2020 Hessian measures in the aerodynamic Newton problem. Zbl 06909124Lokutsievskiy, L. V.; Zelikin, M. I. 2 2018 Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side. Zbl 1385.49024Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. 1 2017 On optimal harvesting of a resource on a circle. Zbl 1380.91116Zelikin, M. I.; Lokutsievskiy, L. V.; Skopincev, S. V. 1 2017 Fractal theory of Saturn’s ring. Zbl 1337.85001Zelikin, M. I. 1 2015 Optimal control and Galois theory. Zbl 1286.49009Zelikin, M. I.; Kiselev, D. D.; Lokutsievskiy, L. V. 3 2013 Generic fractal structure of finite parts of trajectories of piecewise smooth Hamiltonian systems. Zbl 1276.70015Hildebrand, R.; Lokutsievskiy, L. V.; Zelikin, M. I. 3 2013 Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians. Zbl 1294.37022Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. 1 2013 Geometry of neighborhoods of singular trajectories in problems with multidimensional control. Zbl 1309.49021Zelikin, M. I.; Lokutsievskiy, L. V.; Hildebrand, R. 6 2012 Higher-order elastics and elastic hulls. Zbl 1283.49061Osipov, Yu. S.; Zelikin, M. I. 2 2012 Multidimensional generalizations of Jacobi’s envelope theorem. Zbl 1254.53070Osipov, Yu. S.; Zelikin, M. I. 2 2012 Theory of fields of extremals for multiple integrals. Zbl 1230.49040Zelikin, M. I. 2 2011 Accumulation of tangent points with the boundary and Lagrangian manifolds in problems with phase constraints. Zbl 1290.49071Zelikin, M. I.; Gael, V. V. 1 2011 Optimal synthesis in an infinite-dimensional space. Zbl 1302.49047Borisov, V. F.; Zelikin, M. I.; Manita, L. A. 2 2010 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 Extremals with accumulation of switchings in an infinite-dimensional space. Zbl 1202.49002Borisov, B. F.; Zelikin, M. I.; Manita, L. A. 2 2009 Accumulation of switchings in distributed parameter problems. Zbl 1154.74032Zelikin, M. I.; Manita, L. A. 3 2008 Criterion for the symmetry of a spectrum. Zbl 1166.47008Zelikin, M. I. 1 2008 Optimal modes with more frequent switchings in control problem for the Timoshenko beam. Zbl 1114.74416Zelikin, M. I.; Manita, L. A. 4 2006 Geometry of operator cross ratio. Zbl 1144.37031Zelikin, M. I. 2 2006 Optimal control for a Timoshenko beam. Zbl 1107.74034Zelikin, Michail I.; Manita, Larissa A. 2 2006 Optimal problems on Hölder function spaces. Zbl 1110.49006Zelikin, M. I. 1 2004 Hessian of the solution of the Hamilton-Jacobi equation in the theory of extremal problems. Zbl 1059.49030Zelikin, M. I. 1 2004 Singular optimal regimes in problems of mathematical economics. Zbl 1088.49022Zelikin, M. I.; Borisov, V. F. 7 2003 The \(\zeta\)-function of cross-ratio on Sato’s Grassmannian as an integral invariant of the Kadomtsev-Petviashvili hierarchy. Zbl 1247.37073Zelikin, M. I. 1 2003 Optimal chattering feedback control. Zbl 1024.49021Zelikin, M. I.; Borisov, V. F. 5 2001 Singular stratified manifolds of involutive controlled systems. Zbl 1039.49031Zelikina, L. F.; Zelikin, M. I.; Khlyustov, K. V. 3 2001 The topological structure of the phase portrait of a typical fiber of optimal synthesis for chattering problems. Zbl 1014.49030Zelikin, M. I.; Melnikov, N. B.; Hildebrand, R. 2 2001 Asymptotics of optimal synthesis for a class of extremal problems. Zbl 1014.49028Zelikin, M. I.; Zelikina, L. F.; Hildebrand, R. 1 2001 Synthesis of optimal trajectories that defines the Reeb foliation. Zbl 1014.49029Zelikin, M. I. 1 2001 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002Zelikin, M. I. 9 2000 The deviation of a functional from the optimal value under chattering exponentially decays as the number of switchings tends to infinity. Zbl 0986.49022Zelikin, M. I.; Zelikina, L. F. 2 1999 Homogeneous spaces and the Riccati equation in the calculus of variations. Zbl 0951.49001Zelikin, M. I. 19 1998 One-parameter families of solutions to a class of PDE optimal control problems. Zbl 0892.93038Zelikin, M. I. 4 1997 The Fuller phenomenon in problems of vibration of two linked oscillators. Zbl 1058.49500Zelikin, M. I. 4 1996 Optimum control of solid body rotation. Zbl 0900.70400Zelikin, M. I. 3 1996 Irregularity of optimal control in regular extremal problems. Zbl 0873.49002Zelikin, M. I. 3 1995 Totally extremal manifolds for optimal control problems. Zbl 0861.49003Zelikin, Mikhail I. 1 1995 Theory of chattering control with applications to astronautics, robotics, economics, and engineering. Zbl 0820.70003Zelikin, M. I.; Borisov, V. F. 75 1994 On the theory of the matrix Riccati equation. II. Zbl 0786.49023Zelikin, M. I. 3 1992 On the theory of the matrix Riccati equation. Zbl 0774.49003Zelikin, M. I. 1 1992 Regimes with frequented switchings in problems of optimal control. Zbl 0774.49004Zelikin, M. I.; Borisov, V. F. 12 1991 Regimes with increasingly more frequent switchings in optimal control problems. Zbl 0782.49002Zelikin, M. I.; Borisov, V. F. 6 1991 On the theory of the Riccati matrix equation. Zbl 0747.49006Zelikin, M. I. 2 1991 Optimal synthesis containing chattering arcs and singular arcs of the second order. Zbl 0745.49021Zelikin, M. I.; Borisov, V. F. 2 1991 Synthesis in optimal control problems containing trajectories with increasing switching frequency and singular trajectories of second order. Zbl 0698.49010Zelikin, M. I.; Borisov, V. F. 4 1990 Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order. Zbl 0709.49002Zelikin, M. I.; Borisov, V. F. 1 1990 Fields of optimal trajectories containing singular second order extremals and extremals with frequent switchings. Zbl 0699.49005Zelikin, M. I.; Borisov, V. F. 5 1989 Modes with switchings of increasing frequency in the problem of controlling a robot. Zbl 0711.70037Borisov, V. F.; Zelikin, M. I. 6 1988 Groupsymmetry in degenerate extremal problems. Zbl 0654.49020Zelikin, M. I. 2 1988 Optimal control and variational calculus. Textbook. (Optimal’noe upravlenie i variatsionnoe ischislenie. Uchebnoe posobie). Zbl 0678.49001Zelikin, M. I. 2 1985 Minimization of integrals of differential forms and degenerate variational problems. Zbl 0593.49030Zelikin, M. I. 2 1985 On the singular arcs. Zbl 0585.49012Zelikin, M. I. 1 1985 Necessary conditions of optimality of singular trajectories in linear control problems. Zbl 0646.49009Zelikin, M. I. 1 1984 Vladimir Mikhailovich Alekseev. Obituary. Zbl 0494.01011Anosov, D. V.; Arnol’d, V. I.; Zelikin, M. I.; Kolomogorov, A. N.; Lokutsievskii, O. V.; Osipov, Yu. S.; Sinai, Ya. G.; Tikhomirov, V. M.; Yakobson, M. V. 1 1981 On a system of integral equations that arises in the problem of S. L. Sobolev. Zbl 0358.35028Zelikin, M. I.; Sternin, B. Yu. 3 1977 On a differential game with incomplete information. Zbl 0256.90063Zelikin, M. I. 4 1972 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 22 Zelikin, Mikhail Il’ich 9 Lokutsievskiy, Lev Viacheslavovich 7 Jacquemard, Alain 7 Manita, Larissa A. 5 Borisov, V. F. 4 Hildebrand, Roland 4 Osipov, Yuriĭ Sergeevich 4 Teixeira, Marco Antonio 4 Trélat, Emmanuel 3 Agrachev, Andreĭ Aleksandrovich 3 Biolo, Carolina 3 Cerf, Max 3 Khailov, Evgenii N. 3 Margaliot, Michael 3 Sigalotti, Mario 3 Zhu, Jiamin 2 Bertolim, Maria Alice 2 Boarotto, Francesco 2 Chen, Zheng 2 Chistyakov, Viktor Filimonovich 2 Chitour, Yacine 2 Del Moral, Pierre 2 Dupre, Maurice J. 2 Durán Fernandez, Carlos Eduardo 2 Felgenhauer, Ursula 2 Ferrara, Antonella 2 Formalskii, Alexander M. 2 Freiling, Gerhard 2 Gael’, V. V. 2 Glazebrook, James F. 2 Grigor’eva, E. V. 2 Kiselev, Denis Dmitrievich 2 Krivonogov, Andrey S. 2 Krym, Victor R. 2 Li, Rencang 2 Malisoff, Michael 2 Naumov, G. V. 2 Previato, Emma 2 Ronzhina, M. I. 2 Savin, Anton Yur’evich 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Sternin, Boris Yur’evich 2 Tugaut, Julian 1 Abramovskaya, Tat’yana Viktorovna 1 Aldakimov, Yu. V. 1 Alekseev, Anton Yu. 1 Álvarez Paiva, Juan Carlos 1 Ancona, Fabio 1 Andruchow, Esteban 1 Aniţa, Sebastian 1 Avvakumov, Sergey 1 Azhmyakov, Vadim 1 Becerra, Héctor M. 1 Becerra, Israel 1 Behringer, Stefan 1 Berger, Ari 1 Bieliavsky, Pierre 1 Bock, Hans Georg 1 Bokan, Neda 1 Bonvin, Dominique 1 Borisov, B. F. 1 Bressan, Alberto 1 Caillau, Jean-Baptiste 1 Chistyakova, Elena Viktorovna 1 Churkin, Valerii Avdeevich 1 Chyba, Monique 1 Coron, Jean-Michel 1 de Jong, Hidde 1 de Pinho, Maria do Rosário 1 Dinuzzo, Francesco 1 Dmitriev, M. G. 1 Dudina, Olga S. 1 Eberl, Hermann J. 1 Eliseeva, Yu. V. 1 Elyseeva, Julia V. 1 Evans, Robin James 1 Faulwasser, Timm 1 Fenichel, Eli P. 1 Foroozandeh, Zahra 1 Fukai, Yasunari 1 Fuong, Ta Zui 1 Fusaoka, Akira 1 Gabriel, Pierre 1 Gamkredidze, R. V. 1 Garnaev, Andrej Yu. 1 Garrett, C. Kristopher 1 Gouzé, Jean-Luc 1 Grigorieva, Ellina V. 1 Günther, Uwe 1 Gurman, Vladimir Iosifovich 1 Gutman, Per-Olof 1 Harko, Tiberiu 1 Hauser, John E. 1 He, Zerong 1 Herrera, Guillermo E. 1 Horan, Richard D. 1 Hutchinson, Seth A. 1 Ikeda, Yuki 1 Ioslovich, Ilya 1 Jank, Gerhard ...and 85 more Authors all top 5 Cited in 70 Serials 21 Journal of Mathematical Sciences (New York) 8 Proceedings of the Steklov Institute of Mathematics 6 Russian Journal of Mathematical Physics 5 SIAM Journal on Control and Optimization 5 Journal of Dynamical and Control Systems 5 Differential Equations 4 Journal of Applied Mathematics and Mechanics 4 Prikladnaya Matematika i Mekhanika 4 Journal of Optimization Theory and Applications 3 Journal of Mathematical Physics 3 Systems & Control Letters 3 Automation and Remote Control 3 Bulletin des Sciences Mathématiques 3 Doklady Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Automatica 2 Siberian Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential Geometry and its Applications 2 Vestnik St. Petersburg University. Mathematics 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Natural Resource Modeling 2 Complex Analysis and Operator Theory 2 Pacific Journal of Mathematics for Industry 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Mathematical Biology 1 Moscow University Mathematics Bulletin 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Algebra and Logic 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Optimization 1 Journal of Symbolic Computation 1 Journal of Economic Dynamics & Control 1 Computational Mathematics and Modeling 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Geometric Methods in Modern Physics 1 Mathematical Biosciences and Engineering 1 Mathematical Modelling of Natural Phenomena 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Quantum Chemistry 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Open Mathematics all top 5 Cited in 36 Fields 84 Calculus of variations and optimal control; optimization (49-XX) 36 Systems theory; control (93-XX) 17 Ordinary differential equations (34-XX) 17 Mechanics of particles and systems (70-XX) 15 Differential geometry (53-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 9 Numerical analysis (65-XX) 8 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Topological groups, Lie groups (22-XX) 4 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline