Edit Profile (opens in new tab) Tonkov, Evgenii Leonidovich (b. 1940 d. 2014) Co-Author Distance Author ID: tonkov.e-l Published as: Tonkov, E. L.; Tonkov, E. External Links: Math-Net.Ru Documents Indexed: 75 Publications since 1966 5 Contributions as Editor Biographic References: 5 Publications Co-Authors: 30 Co-Authors with 44 Joint Publications 483 Co-Co-Authors all top 5 Co-Authors 31 single-authored 6 Popova, Svetlana Nikolaevna 5 Ivanov, Aleksandr Gennad’evich 4 Komlenko, Yu. V. 3 Bykova, T. S. 3 Irisov, A. E. 3 Panasenko, Elena Aleksandrovna 3 Tonkova, V. S. 3 Zhevlakov, G. N. 2 Blinov, I. N. 2 Jutkin, G. I. 2 Kultyshev, Sergeĭ Yur’evich 2 Nikolaev, S. F. 2 Petrova, Valentina V. 2 Ushakov, Vladimir Nikolaevich 2 Zaitsev, Vasilii Alexandrovich 1 Borisov, Alekseĭ Vladimirovich 1 Bulgakov, Aleksandr Ivanovich 1 Chentsov, Aleksandr Georgievich 1 Derr, Vasiliĭ Yakovlevich 1 Gryzlov, Anatoliĭ Aleksandrovich 1 Ho, Sun Chen 1 Karpov, Aleksandr Ivanovich 1 Komlenko, Ju. V. 1 Latypova, Natal’ya Vladimirovna 1 Lun’kov, V. A. 1 Maksimov, Vladimir Petrovich 1 Martynyuk, Anatoliĭ Andriĭovych 1 Petrov, Nikolaĭ Nikandrovich 1 Rodionova, Alla Grigor’evna 1 Tonkov, L. V. all top 5 Serials 17 Differential Equations 10 Differentsial’nye Uravneniya 7 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 5 Russian Mathematics 4 Matematicheskaya Fizika 4 Proceedings of the Steklov Institute of Mathematics 3 Soviet Mathematics. Doklady 3 Vestnik Udmurtskogo Universiteta 2 Differential Equations 1 Doklady Akademii Nauk BSSR 1 Journal of Applied Mathematics and Mechanics 1 Mathematical Notes 1 Matematicheskie Zametki 1 Siberian Mathematical Journal 1 Automation and Remote Control 1 Cybernetics and Systems Analysis 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Functional Differential Equations 1 Trudy Instituta Matematiki 1 Nonlinear Dynamics and Systems Theory 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Nelineĭnaya Dinamika all top 5 Fields 55 Systems theory; control (93-XX) 45 Ordinary differential equations (34-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 139 times in 74 Documents Cited by ▼ Year ▼ Ein Kriterium für die gleichmäßige Regelbarkeit und die Stabilisierung eines linearen rekurrenten Systems. Zbl 0434.93011 Tonkov, E. L. 13 1979 Attainability, compatibility and V. M. Millionshchikov’s method of rotations. Zbl 1049.93504 Zaĭtsev, V. A.; Tonkov, E. L. 9 1999 Invariant and stably invariant sets for differential inclusions. Zbl 1167.34001 Panasenko, E. A.; Tonkov, E. L. 7 2008 Control over the Lyapunov exponents of consistent systems. I. Zbl 0852.93079 Popova, S. N.; Tonkov, E. L. 6 1994 Consistent systems and control of Lyapunov exponents. Zbl 0908.93039 Popova, S. N.; Tonkov, E. L. 6 1997 The statistically weak invariant sets of control systems. Zbl 1299.93024 Rodina, L. I.; Tonkov, E. L. 6 2011 The space clcv(\(\mathbb R^n\)) with the Hausdorff-Bebutov metric and differential inclusions. Zbl 1294.93048 Panasenko, E. A.; Rodina, L. I.; Tonkov, E. L. 5 2011 Extension of E. A. Barbashin’s and N. N. Krasovskii’s stability theorems to controlled dynamical systems. Zbl 1302.93182 Panasenko, E. A.; Tonkov, E. L. 5 2010 Nichtoszillation und Zahl der Umschaltungen in einem zeitoptimalen linearen instationären System. Zbl 0286.49010 Tonkov, E. L. 4 1973 On the property of uniform complete controllability of a discrete-time linear control system. Zbl 1329.93034 Zaitsev, V. A.; Popova, S. N.; Tonkov, E. L. 4 2014 The optimal control over periodic motions. Zbl 0447.49014 Tonkov, E. L. 4 1977 A dynamical system of translations and questions of the uniform controllability of a linear system. Zbl 0475.93020 Tonkov, E. L. 4 1981 Control of the Lyapunov exponents of consistent systems. II. Zbl 0852.93080 Popova, S. N.; Tonkov, E. L. 3 1994 Uniform consistency of linear systems. Zbl 0852.93010 Popova, S. N.; Tonkov, E. L. 3 1995 Lyapunov-Floquet representation for differential equations with aftereffect. Zbl 0858.34065 Komlenko, Yu. V.; Tonkov, E. L. 3 1995 Control over Lyapunov exponents of consistent systems. III. Zbl 0852.93081 Popova, S. N.; Tonkov, E. L. 3 1995 Uniform local controllability of a linear system. Zbl 0798.93009 Ivanov, A. G.; Tonkov, E. L. 3 1992 Lineares Problem der optimalen Steuerung periodischer Lösungen. Zbl 0337.49009 Tonkov, E. L. 3 1976 Complete controllability conditions for a linear nonstationary system in a critical case. Zbl 1068.93013 Rodina, L. I.; Tonkov, E. L. 3 2004 Sufficient conditions of the existence and optimality of periodic solutions for a differential inclusion. Zbl 0451.49021 Irisov, A. E.; Tonkov, E. 3 1980 On the continuity of the speed function of a linear system in the critical case. Zbl 0846.49001 Rodionova, A. G.; Tonkov, E. L. 2 1993 On the controllability set of a linear almost periodic system. Zbl 0742.93005 Ivanov, A. G.; Tonkov, E. L. 2 1991 Periodic solutions and stability of a linear differential equation with periodic coefficients. Zbl 0263.34009 Tonkov, E. L.; Jutkin, G. I. 2 1972 Control problems for Lyapunov exponents. Zbl 0865.34039 Tonkov, E. L. 2 1995 Controllability of a nonlinear system in a linear approximation. Zbl 0303.93016 Tonkov, E. L. 2 1974 Lyapunov reducibility of a linear system, stabilization and control of the Izobov exponents. Zbl 0978.93064 Tonkov, E. L. 2 2000 On a periodic equation of second order. Zbl 0184.12102 Tonkov, E. L. 2 1969 A periodic boundary value problem for an ordinary second-order differential equation. Zbl 0172.11604 Komlenko, Yu. V.; Tonkov, E. L. 2 1968 Barbashin and Krasovskii’s asymptotic stability theorem in application to control systems on smooth manifolds. Zbl 1334.93150 Tonkov, E. L. 2 2015 Uniform attainability and Lyapunov reducibility of bilinear control system. Zbl 1116.93310 Tonkov, E. L. 2 2000 A criterion for the uniform controllability and the stability of a linear recurrent system. Zbl 0446.93014 Tonkov, E. L. 2 1980 Periodic solutions of a differential inclusion. Zbl 0543.34005 Irisov, A. E.; Tonkova, V. S.; Tonkov, E. L. 2 1978 Statistical characteristics of attainable set of controllable system, non-wandering, and minimal attraction center. Zbl 07956650 Rodina, L. I.; Tonkov, E. L. 2 2009 Differentiability of the optimal time vector and positional control of a linear subcritical system. Zbl 0986.49016 Nikolaev, S. F.; Tonkov, E. L. 1 2000 On the multipliers of a linear periodic differential equation with a deviating argument. Zbl 0311.34078 Komlenko, Ju. V.; Tonkov, E. L. 1 1975 Steuerbarkeit eines linearen instationären Systems. Zbl 0333.93006 Kultysev, S. Ju.; Tonkov, E. L. 1 1975 Methods of topological dynamics in the uniform local controllability problem. Zbl 0875.93046 Ivanov, A. G.; Tonkov, E. L. 1 1995 Existence of solutions of ordinary nonlinear differential equations with linear boundary conditions. Zbl 0241.34015 Zhevlakov, G. N.; Komlenko, Yu. V.; Tonkov, E. L. 1 1972 Some properties of averaged solutions of a regularization system with a discontinuous nonlinearity. Zbl 0303.93034 Tonkova, V. S.; Tonkov, E. L. 1 1974 The structure of the controllability set of a linear subcritical system. Zbl 0989.93014 Nikolaev, S. F.; Tonkov, E. L. 1 1999 Eine Bemerkung über die Regelbarkeit eines linearen periodischen Systems. Zbl 0389.93006 Tonkov, E. L. 1 1978 The controllability set of a linear equation. Zbl 0528.93017 Tonkov, E. L. 1 1983 On uniform local controllability of a linear equation. Zbl 0532.93009 Tonkov, E. L. 1 1983 On the existence of periodic solutions of differential inclusions. Zbl 0543.34006 Irisov, A. E.; Tonkova, V. S.; Tonkov, E. L. 1 1977 On global controllability of a conditionally periodic linear system. Zbl 0516.93008 Blinov, I. N.; Tonkov, E. L. 1 1982 Uniform local controllability and stabilization of a nonlinear recurrent system. Zbl 0496.93013 Tonkov, E. L. 1 1982 Turnpike processes of control systems on smooth manifolds. Zbl 1299.34213 Tonkov, E. L. 1 2013 Barbashin and Krasovskii’s asymptotic stability theorem in application to control systems on smooth manifolds. Zbl 1334.93150 Tonkov, E. L. 2 2015 On the property of uniform complete controllability of a discrete-time linear control system. Zbl 1329.93034 Zaitsev, V. A.; Popova, S. N.; Tonkov, E. L. 4 2014 Turnpike processes of control systems on smooth manifolds. Zbl 1299.34213 Tonkov, E. L. 1 2013 The statistically weak invariant sets of control systems. Zbl 1299.93024 Rodina, L. I.; Tonkov, E. L. 6 2011 The space clcv(\(\mathbb R^n\)) with the Hausdorff-Bebutov metric and differential inclusions. Zbl 1294.93048 Panasenko, E. A.; Rodina, L. I.; Tonkov, E. L. 5 2011 Extension of E. A. Barbashin’s and N. N. Krasovskii’s stability theorems to controlled dynamical systems. Zbl 1302.93182 Panasenko, E. A.; Tonkov, E. L. 5 2010 Statistical characteristics of attainable set of controllable system, non-wandering, and minimal attraction center. Zbl 07956650 Rodina, L. I.; Tonkov, E. L. 2 2009 Invariant and stably invariant sets for differential inclusions. Zbl 1167.34001 Panasenko, E. A.; Tonkov, E. L. 7 2008 Complete controllability conditions for a linear nonstationary system in a critical case. Zbl 1068.93013 Rodina, L. I.; Tonkov, E. L. 3 2004 Lyapunov reducibility of a linear system, stabilization and control of the Izobov exponents. Zbl 0978.93064 Tonkov, E. L. 2 2000 Uniform attainability and Lyapunov reducibility of bilinear control system. Zbl 1116.93310 Tonkov, E. L. 2 2000 Differentiability of the optimal time vector and positional control of a linear subcritical system. Zbl 0986.49016 Nikolaev, S. F.; Tonkov, E. L. 1 2000 Attainability, compatibility and V. M. Millionshchikov’s method of rotations. Zbl 1049.93504 Zaĭtsev, V. A.; Tonkov, E. L. 9 1999 The structure of the controllability set of a linear subcritical system. Zbl 0989.93014 Nikolaev, S. F.; Tonkov, E. L. 1 1999 Consistent systems and control of Lyapunov exponents. Zbl 0908.93039 Popova, S. N.; Tonkov, E. L. 6 1997 Uniform consistency of linear systems. Zbl 0852.93010 Popova, S. N.; Tonkov, E. L. 3 1995 Lyapunov-Floquet representation for differential equations with aftereffect. Zbl 0858.34065 Komlenko, Yu. V.; Tonkov, E. L. 3 1995 Control over Lyapunov exponents of consistent systems. III. Zbl 0852.93081 Popova, S. N.; Tonkov, E. L. 3 1995 Control problems for Lyapunov exponents. Zbl 0865.34039 Tonkov, E. L. 2 1995 Methods of topological dynamics in the uniform local controllability problem. Zbl 0875.93046 Ivanov, A. G.; Tonkov, E. L. 1 1995 Control over the Lyapunov exponents of consistent systems. I. Zbl 0852.93079 Popova, S. N.; Tonkov, E. L. 6 1994 Control of the Lyapunov exponents of consistent systems. II. Zbl 0852.93080 Popova, S. N.; Tonkov, E. L. 3 1994 On the continuity of the speed function of a linear system in the critical case. Zbl 0846.49001 Rodionova, A. G.; Tonkov, E. L. 2 1993 Uniform local controllability of a linear system. Zbl 0798.93009 Ivanov, A. G.; Tonkov, E. L. 3 1992 On the controllability set of a linear almost periodic system. Zbl 0742.93005 Ivanov, A. G.; Tonkov, E. L. 2 1991 The controllability set of a linear equation. Zbl 0528.93017 Tonkov, E. L. 1 1983 On uniform local controllability of a linear equation. Zbl 0532.93009 Tonkov, E. L. 1 1983 On global controllability of a conditionally periodic linear system. Zbl 0516.93008 Blinov, I. N.; Tonkov, E. L. 1 1982 Uniform local controllability and stabilization of a nonlinear recurrent system. Zbl 0496.93013 Tonkov, E. L. 1 1982 A dynamical system of translations and questions of the uniform controllability of a linear system. Zbl 0475.93020 Tonkov, E. L. 4 1981 Sufficient conditions of the existence and optimality of periodic solutions for a differential inclusion. Zbl 0451.49021 Irisov, A. E.; Tonkov, E. 3 1980 A criterion for the uniform controllability and the stability of a linear recurrent system. Zbl 0446.93014 Tonkov, E. L. 2 1980 Ein Kriterium für die gleichmäßige Regelbarkeit und die Stabilisierung eines linearen rekurrenten Systems. Zbl 0434.93011 Tonkov, E. L. 13 1979 Periodic solutions of a differential inclusion. Zbl 0543.34005 Irisov, A. E.; Tonkova, V. S.; Tonkov, E. L. 2 1978 Eine Bemerkung über die Regelbarkeit eines linearen periodischen Systems. Zbl 0389.93006 Tonkov, E. L. 1 1978 The optimal control over periodic motions. Zbl 0447.49014 Tonkov, E. L. 4 1977 On the existence of periodic solutions of differential inclusions. Zbl 0543.34006 Irisov, A. E.; Tonkova, V. S.; Tonkov, E. L. 1 1977 Lineares Problem der optimalen Steuerung periodischer Lösungen. Zbl 0337.49009 Tonkov, E. L. 3 1976 On the multipliers of a linear periodic differential equation with a deviating argument. Zbl 0311.34078 Komlenko, Ju. V.; Tonkov, E. L. 1 1975 Steuerbarkeit eines linearen instationären Systems. Zbl 0333.93006 Kultysev, S. Ju.; Tonkov, E. L. 1 1975 Controllability of a nonlinear system in a linear approximation. Zbl 0303.93016 Tonkov, E. L. 2 1974 Some properties of averaged solutions of a regularization system with a discontinuous nonlinearity. Zbl 0303.93034 Tonkova, V. S.; Tonkov, E. L. 1 1974 Nichtoszillation und Zahl der Umschaltungen in einem zeitoptimalen linearen instationären System. Zbl 0286.49010 Tonkov, E. L. 4 1973 Periodic solutions and stability of a linear differential equation with periodic coefficients. Zbl 0263.34009 Tonkov, E. L.; Jutkin, G. I. 2 1972 Existence of solutions of ordinary nonlinear differential equations with linear boundary conditions. Zbl 0241.34015 Zhevlakov, G. N.; Komlenko, Yu. V.; Tonkov, E. L. 1 1972 On a periodic equation of second order. Zbl 0184.12102 Tonkov, E. L. 2 1969 A periodic boundary value problem for an ordinary second-order differential equation. Zbl 0172.11604 Komlenko, Yu. V.; Tonkov, E. L. 2 1968 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 9 Zaitsev, Vasilii Alexandrovich 5 Babiarz, Artur 5 Czornik, Adam 5 Tonkov, Evgenii Leonidovich 4 Kozlov, Aleksandr Aleksandrovich 4 Makarov, Evgeniĭ Konstantinovich 4 Popova, Svetlana Nikolaevna 3 Nikol’skiĭ, Mikhaĭl Sergeevich 3 Panasenko, Elena Aleksandrovna 2 Anisovich, V. V. 2 Borisovich, Yuriĭ Grigor’evich 2 Demidenko, Gennadiĭ Vladimirovich 2 Doan, Thai Son 2 Erbe, Lynn Harry 2 Gel’man, Boris Danielovich 2 Ints, Irina Viktorovna 2 Kiguradze, Ivan Tarielovich 2 Kim, Inna Geral’dovna 2 Larina, Yana Yur’evna 2 Matveeva, Inessa Izotovna 2 Myshkis, Anatoliĭ Dmitrievich 2 Niezabitowski, Michał 2 Obukhovskiĭ, Valeriĭ Vladimirovich 2 Rodina, Lyudmila Ivanova 1 Abady, I. M. 1 Amer, Tarek S. 1 Anh, Pham The 1 Ashchepkov, Leonid Timofeevich 1 Awrejcewicz, Jan 1 Banshchikova, Irina Nikolaevna 1 Blinov, I. N. 1 Burak, Alekseĭ Dmitrievich 1 Chentsov, Aleksandr Georgievich 1 Chernov, Andreĭ Vladimirovich 1 Cuong, Le Viet 1 Danilov, Leonid Ivanovich 1 Elkafly, H. F. 1 Galal, A. A. 1 Grasse, Kevin A. 1 Hamidov, Sabir I. 1 Henríquez, Hernán R. 1 Il’in, Vladimir Aleksandrovich 1 Izobov, Nikolaĭ Alekseevich 1 Johnson, Russell Allan 1 Kern, Günter 1 Khammadi, A. Kh. 1 Khartovskiĭ, Vadim Evgen’evich 1 Krasovskiĭ, Nikolaĭ Nikolaevich 1 Kryukov, B. I. 1 Kurzhanskiĭ, Aleksandr Borisovich 1 Lescot, Paul 1 Masterkov, Yuriĭ Viktorovich 1 Mironov, N. B. 1 Morozov, M. V. 1 Nerurkar, Mahesh G. 1 Nieto Roig, Juan Jose 1 Nikolaev, S. F. 1 Nistri, Paolo 1 Petrenko, Pavel Sergeevich 1 Petrov, Nikolaĭ Nikandrovich 1 Prokopczyk, Andréa C. 1 Przycłuski, K. Maciej 1 Puzyrov, Volodymyr 1 Rodina, Lyudmila Ivanovna 1 Rozov, Nikolaĭ Khristovich 1 Sergeev, Igor’ Nikolaevich 1 Shcheglova, Alla Arkad’evna 1 Shekhter, B. L. 1 Shemyakina, Tamara Kuz’minichna 1 Siegmund, Stefan 1 Smetannikova, E. N. 1 Sobolev, Vladimir A. 1 Šremr, Jiří 1 Tisdell, Christopher C. 1 Tolstonogov, Aleksandr Aleksandrovich 1 Ushakov, Vladimir Nikolaevich 1 Valade, Laurène 1 Wax, Nelson 1 Zhukovskiĭ, Evgeniĭ Semenovich all top 5 Cited in 30 Serials 11 Differential Equations 8 Russian Mathematics 7 Proceedings of the Steklov Institute of Mathematics 7 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 4 Journal of Soviet Mathematics 4 SIAM Journal on Control and Optimization 3 Journal of Mathematical Sciences (New York) 2 Journal of Applied Mathematics and Mechanics 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Automation and Remote Control 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Automatica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Siberian Mathematical Journal 1 Moscow University Computational Mathematics and Cybernetics 1 Systems & Control Letters 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Pokroky Matematiky, Fyziky & Astronomie 1 Journal of Dynamics and Differential Equations 1 Sbornik: Mathematics 1 Nonlinear Dynamics 1 Fixed Point Theory and Applications 1 Advances in Difference Equations 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 17 Fields 44 Systems theory; control (93-XX) 31 Ordinary differential equations (34-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 General topology (54-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 2 Algebraic topology (55-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year