Edit Profile Zelikin, Mikhail Il’ich Compute Distance To: Compute Author ID: zelikin.mikhail-i Published as: Zelikin, M. I.; Zelikin, Mikhail I.; Zelikin, Michail I.; Zelikin, M. Homepage: http://www.mi.ras.ru/index.php?c=pubs&id=8494&showmode=years&showall=show&l=1 External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · GND 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, 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 Kalashnikov, Anatoliĭ Sergeevich 1 Kamynin, Vitaly L. 1 Katok, Anatole B. 1 Khlyustov, K. V. 1 Kiselev, Denis Dmitrievich 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 Kurzhanskiĭ, Aleksandr 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 Neĭshtadt, Anatoliĭ Iserovich 1 Nikol’skiĭ, Mikhaĭl Sergeevich 1 Oleĭnik, Ol’ga Arsen’evna 1 Osipenko, Konstantin Yur’evich 1 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 Encyclopaedia of Mathematical Sciences 1 Systems & Control: Foundations & Applications 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 64 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) 5 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 Open 57 Publications have been cited 248 times in 154 Documents Cited by ▼ Year ▼ Theory of chattering control with applications to astronautics, robotics, economics, and engineering. Zbl 0820.70003Zelikin, M. I.; Borisov, V. F. 82 1994 Homogeneous spaces and the Riccati equation in the calculus of variations. (Odnorodnye prostranstva i uravneniya Rikkati v variatsionnom ischislenij.) Zbl 0951.49001Zelikin, M. I. 18 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. 7 2000 Singular optimal regimes in problems of mathematical economics. Zbl 1088.49022Zelikin, M. I.; Borisov, V. F. 7 2003 Regimes with increasingly more frequent switchings in optimal control problems. Zbl 0782.49002Zelikin, M. I.; Borisov, V. F. 6 1991 Geometry of neighborhoods of singular trajectories in problems with multidimensional control. Zbl 1309.49021Zelikin, M. I.; Lokutsievskiy, L. V.; Hildebrand, R. 6 2012 Modes with switchings of increasing frequency in the problem of controlling a robot. Zbl 0711.70037Borisov, V. F.; Zelikin, M. I. 6 1988 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 chattering feedback control. Zbl 1024.49021Zelikin, M. I.; Borisov, V. F. 5 2001 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 Optimal modes with more frequent switchings in control problem for the Timoshenko beam. Zbl 1114.74416Zelikin, M. I.; Manita, L. A. 4 2006 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 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. 3 1999 On the theory of the matrix Riccati equation. II. Zbl 0786.49023Zelikin, M. I. 3 1992 Irregularity of optimal control in regular extremal problems. Zbl 0873.49002Zelikin, M. I. 3 1995 Optimum control of solid body rotation. Zbl 0900.70400Zelikin, M. I. 3 1996 On a differential game with incomplete information. Zbl 0256.90063Zelikin, M. I. 3 1972 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 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 Optimal synthesis containing chattering arcs and singular arcs of the second order. Zbl 0745.49021Zelikin, M. I.; Borisov, V. F. 2 1991 On the theory of the Riccati matrix equation. Zbl 0747.49006Zelikin, M. I. 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 Higher-order elastics and elastic hulls. Zbl 1283.49061Osipov, Yu. S.; Zelikin, M. I. 2 2012 Optimal control and Galois theory. Zbl 1286.49009Zelikin, M. I.; Kiselev, D. D.; Lokutsievskiy, L. V. 2 2013 Theory of fields of extremals for multiple integrals. Zbl 1230.49040Zelikin, M. I. 2 2011 Multidimensional generalizations of Jacobi’s envelope theorem. Zbl 1254.53070Osipov, Yu. S.; Zelikin, M. I. 2 2012 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 Optimal control for a Timoshenko beam. Zbl 1107.74034Zelikin, Michail I.; Manita, Larissa A. 2 2006 Minimization of integrals of differential forms and degenerate variational problems. Zbl 0593.49030Zelikin, M. I. 2 1985 Optimal synthesis in an infinite-dimensional space. Zbl 1302.49047Borisov, V. F.; Zelikin, M. I.; Manita, L. A. 2 2010 Geometry of operator cross ratio. Zbl 1144.37031Zelikin, M. I. 2 2006 On optimal harvesting of a resource on a circle. Zbl 1380.91116Zelikin, M. I.; Lokutsievskiy, L. V.; Skopincev, S. V. 2 2017 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. 2 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. 2 2017 Hessian measures in the aerodynamic Newton problem. Zbl 1472.76077Lokutsievskiy, L. V.; Zelikin, M. I. 2 2018 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 Necessary conditions of optimality of singular trajectories in linear control problems. Zbl 0646.49009Zelikin, M. I. 1 1984 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 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 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 Synthesis of optimal trajectories that defines the Reeb foliation. Zbl 1014.49029Zelikin, M. I. 1 2001 Asymptotics of optimal synthesis for a class of extremal problems. Zbl 1014.49028Zelikin, M. I.; Zelikina, L. F.; Hildebrand, R. 1 2001 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 Hessian of the solution of the Hamilton-Jacobi equation in the theory of extremal problems. Zbl 1059.49030Zelikin, M. I. 1 2004 Optimal problems on Hölder function spaces. Zbl 1110.49006Zelikin, M. I. 1 2004 Extremals with accumulation of switchings in an infinite-dimensional space. Zbl 1202.49002Borisov, B. F.; Zelikin, M. I.; Manita, L. A. 1 2009 Fractal theory of Saturn’s ring. Zbl 1337.85001Zelikin, M. I. 1 2015 On the singular arcs. Zbl 0585.49012Zelikin, M. I. 1 1985 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 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. 2 2020 Hessian measures in the aerodynamic Newton problem. Zbl 1472.76077Lokutsievskiy, L. V.; Zelikin, M. I. 2 2018 On optimal harvesting of a resource on a circle. Zbl 1380.91116Zelikin, M. I.; Lokutsievskiy, L. V.; Skopincev, S. V. 2 2017 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. 2 2017 Fractal theory of Saturn’s ring. Zbl 1337.85001Zelikin, M. I. 1 2015 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 Optimal control and Galois theory. Zbl 1286.49009Zelikin, M. I.; Kiselev, D. D.; Lokutsievskiy, L. V. 2 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. 1 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 Optimal control for a Timoshenko beam. Zbl 1107.74034Zelikin, Michail I.; Manita, Larissa A. 2 2006 Geometry of operator cross ratio. Zbl 1144.37031Zelikin, M. I. 2 2006 Hessian of the solution of the Hamilton-Jacobi equation in the theory of extremal problems. Zbl 1059.49030Zelikin, M. I. 1 2004 Optimal problems on Hölder function spaces. Zbl 1110.49006Zelikin, 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 Synthesis of optimal trajectories that defines the Reeb foliation. Zbl 1014.49029Zelikin, M. I. 1 2001 Asymptotics of optimal synthesis for a class of extremal problems. Zbl 1014.49028Zelikin, M. I.; Zelikina, L. F.; Hildebrand, R. 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. 7 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. 3 1999 Homogeneous spaces and the Riccati equation in the calculus of variations. (Odnorodnye prostranstva i uravneniya Rikkati v variatsionnom ischislenij.) Zbl 0951.49001Zelikin, M. I. 18 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. 82 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 Optimal synthesis containing chattering arcs and singular arcs of the second order. Zbl 0745.49021Zelikin, M. I.; Borisov, V. F. 2 1991 On the theory of the Riccati matrix equation. Zbl 0747.49006Zelikin, M. I. 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. 3 1972 all cited Publications top 5 cited Publications all top 5 Cited by 184 Authors 22 Zelikin, Mikhail Il’ich 9 Lokutsievskiy, Lev Viacheslavovich 7 Jacquemard, Alain 7 Manita, Larissa A. 5 Borisov, V. F. 4 Agrachev, Andreĭ Aleksandrovich 4 Hildebrand, Roland 4 Khailov, Evgenii N. 4 Osipov, Yuriĭ Sergeevich 4 Teixeira, Marco Antonio 4 Trélat, Emmanuel 3 Biolo, Carolina 3 Cerf, Max 3 Margaliot, Michael 3 Sigalotti, Mario 3 Zhu, Jiamin 2 Bertolim, Maria Alice 2 Boarotto, Francesco 2 Caillau, Jean-Baptiste 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 Gouzé, Jean-Luc 2 Grigorenko, Nikolaĭ Leont’evich 2 Krivonogov, Andrey S. 2 Krym, Victor R. 2 Li, Rencang 2 Mairet, Francis 2 Malisoff, Michael 2 Naumov, G. V. 2 Plakhov, A. Yu 2 Previato, Emma 2 Sager, Sebastian 2 Savin, Anton Yur’evich 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Sternin, Boris Yur’evich 2 Tugaut, Julian 1 Aldakimov, Yu. V. 1 Alekseev, Anton Yu. 1 Álvarez Paiva, Juan Carlos 1 Ancona, Fabio 1 Andruchow, Esteban 1 Aniţa, Sebastian 1 Azhmyakov, Vadim 1 Bayen, Térence 1 Becerra, Héctor M. 1 Becerra, Israel 1 Behringer, Stefan 1 Berger, Ari 1 Beschastnyi, Ivan Yu. 1 Bieliavsky, Pierre 1 Bock, Hans Georg 1 Bokan, Neda 1 Bonvin, Dominique 1 Borisov, B. F. 1 Bressan, Alberto 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 Egorova, Anastasia Vladimirovna 1 Eliseeva, Yu. V. 1 Elyseeva, Julia V. 1 Faulwasser, Timm 1 Fenichel, Eli P. 1 Foroozandeh, Zahra 1 Fuong, Ta Zui 1 Fusaoka, Akira 1 Gabriel, Pierre 1 Gamkredidze, R. V. 1 Garnaev, Andrey Yu. 1 Garrett, C. Kristopher 1 Göttlich, Simone 1 Grigor’eva, E. V. 1 Grigorieva, Ellina V. 1 Günther, Uwe 1 Gurman, Vladimir Iosifovich 1 Gutman, Per-Olof 1 Hante, Falk M. 1 He, Zerong 1 Herrera, Guillermo E. 1 Horan, Richard D. 1 Hutchinson, Seth A. 1 Ioslovich, Ilya 1 Jank, Gerhard ...and 84 more Authors all top 5 Cited in 74 Serials 21 Journal of Mathematical Sciences (New York) 9 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 Mathematical Notes 3 Systems & Control Letters 3 Automation and Remote Control 3 Mathematical Programming. Series A. Series B 3 Bulletin des Sciences Mathématiques 3 Doklady Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Automatica 2 Siberian Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Mathematical Biosciences and Engineering 2 Complex Analysis and Operator Theory 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Mathematical Biology 1 Nonlinearity 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 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Differential Geometry and its Applications 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 Linear Algebra and its Applications 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 Modelling of Natural Phenomena 1 São Paulo Journal of Mathematical Sciences 1 International Journal of Quantum Chemistry 1 Games 1 Journal of Theoretical Biology 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Pacific Journal of Mathematics for Industry 1 Open Mathematics 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 37 Fields 89 Calculus of variations and optimal control; optimization (49-XX) 37 Systems theory; control (93-XX) 18 Ordinary differential equations (34-XX) 17 Mechanics of particles and systems (70-XX) 15 Differential geometry (53-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 8 Operations research, mathematical programming (90-XX) 4 Topological groups, Lie groups (22-XX) 4 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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