Edit Profile (opens in new tab) Yakubovich, Vladimir Andreevich (b. 1926 d. 2012) Co-Author Distance Author ID: yakubovich.vladimir-andreevich Published as: Yakubovich, V. A.; Yakubovich, Vladimir A.; Yakubovich, Vladimir Andreevich; Vakubovich, V. A.; Yakuvobich, V. A.; Yakubovich, V. more...less Homepage: http://www.math.spbu.ru/htmlsources/yakubovi.html External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 257 Publications since 1948, including 9 Books 1 Further Contribution Reviewing Activity: 55 Reviews Biographic References: 7 Publications Co-Authors: 57 Co-Authors with 104 Joint Publications 1,015 Co-Co-Authors all top 5 Co-Authors 146 single-authored 23 Proskurnikov, Anton Viktorovich 11 Likhtarnikov, A. L. 5 Antonov, V. G. 5 Fradkov, Aleksandr L’vovich 5 Nebos’ko, E. Yu. 4 Shepeleva, R. P. 3 Andreev, Valentin A. 3 Dokuchaev, Nikolai G. 3 Fomin, Vladimir Nikolaevich 3 Gelig, Arkadiĭ Khaimovich 3 Gusev, D. E. 3 Gusev, Sergei V. 3 Kazarinov, Yurii F. 3 Kreĭn, Mark Grigor’evich 3 Lindquist, Anders Gunnar 3 Megretski, Alexandre 3 Shmidt, A. A. 3 Starzhinskiĭ, Vyacheslav Mikhaĭlovich 3 Tomberg, Eh. A. 2 Arov, Damir Zyamovich 2 Bondarko, V. A. 2 Derguzov, Victor Ivanovich 2 Kozinets, B. N. 2 Leonov, Gennadiĭ Alekseevich 2 Levit, M. V. 2 Linnik, Yuriĭ Vladimirovich 2 Polunin, I. A. 2 Ponomarenko, Vladimir Ivanovich 2 Yakubovich, E. D. 1 Abramov, L. M. 1 Altshuller, Dmitry A. 1 Artemov, Yu. V. 1 Barabanov, A. T. 1 Barabanov, Nikita E. 1 Belenkov, V. D. 1 Birman, Mikhail Shlëmovich 1 Burkin, Igor’ Mikhaĭlovich 1 Faddeev, Dmitriĭ Konstantinovich 1 Frolov, V. M. 1 Georgievskij, V. S. 1 Gromov, Mikhael Leonidovich 1 Hill, David John 1 Katkovnik, Vladimir Ya. 1 Kharichev, V. V. 1 Khlypalo, E. I. 1 Lantsman, R. M. 1 Lindkvist, A. 1 Lozinskiĭ, Sergeĭ Mikhaĭlovich 1 Lozinskij, V. I. 1 Lyapin, Evgeny Sergeevich 1 Lyubachevskiĭ, B. D. 1 Nelepin, R. A. 1 Penev, G. D. 1 Pittel, Boris G. 1 Pliss, Viktor Aleksandrovich 1 Romanovskiĭ, Iosif Vladimirovich 1 Ruzhanskiĭ, V. I. 1 Savkin, Andrey V. 1 Shiryaev, A. S. 1 Shvedov, A. M. 1 Smirnov, Vladimir Ivanovich 1 Sokolov, B. M. 1 Timofeev, Andrey V. 1 Vershik, Anatoliĭ Moiseevich 1 Vulikh, Boris Zakharovich 1 Yakubovich, Dmitry V. 1 Zalgaller, Viktor Abramovich 1 Zotov, Yu. K. 1 Zuber, Irina Efremovna all top 5 Serials 26 Automation and Remote Control 24 Doklady Mathematics 23 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 20 Soviet Mathematics. Doklady 16 Siberian Mathematical Journal 13 Sibirskiĭ Matematicheskiĭ Zhurnal 12 Vestnik Leningrad University. Mathematics 8 Uspekhi Matematicheskikh Nauk [N. S.] 8 Doklady Akademii Nauk 7 Doklady Akademii Nauk SSSR 7 Soviet Physics. Doklady 6 Translations. Series 2. American Mathematical Society 5 Matematicheskiĭ Sbornik. Novaya Seriya 5 Doklady Akademii Nauk SSSR. Novaya Seriya 4 Metody Vychisleniĭ 3 IEEE Transactions on Automatic Control 3 Systems & Control Letters 3 Physics-Doklady 3 St. Petersburg Mathematical Journal 2 Avtomatika i Telemekhanika 2 Prikladnaya Matematika i Mekhanika 2 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 2 Journal of Computer and Systems Sciences International 2 Kibernetika i Vychislitel’naya Tekhnika 1 Journal of Applied Mathematics and Mechanics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Journal of Soviet Mathematics 1 Kibernetika 1 Mathematics of the USSR. Izvestiya 1 Engineering Cybernetics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Leningrad University Mechanics Bulletin 1 Algebra i Analiz 1 International Journal of Adaptive Control and Signal Processing 1 Dynamics and Control 1 Elektronische Informationsverarbeitung und Kybernetik 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 International Journal of Robust and Nonlinear Control 1 Vestnik St. Petersburg University. Mathematics 1 Russian Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva 1 European Journal of Control 1 PMM, Journal of Applied Mathematics and Mechanics 1 Series on Stability, Vibration and Control of Systems. Series A 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society all top 5 Fields 130 Systems theory; control (93-XX) 63 Ordinary differential equations (34-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of particles and systems (70-XX) 9 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 Operations research, mathematical programming (90-XX) 5 Operator theory (47-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 1,240 times in 853 Documents Cited by ▼ Year ▼ The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051 Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A. 129 1978 S-procedure in nonlinear control theory. Zbl 0232.93010 Yakubovich, V. A. 108 1971 Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002 Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh. 101 2004 Adaptive control of dynamical objects. (Adaptivnoe upravlenie dinamicheskimi ob”ektami). Zbl 0522.93002 Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A. 99 1981 Linear differential equations with periodic coefficients. Vol. 1, 2. Translated from Russian by D. Louvish. Zbl 0308.34001 Yakubovich, V. A.; Starzhinskij, V. M. 70 1975 Frequency conditions for the absolute stability of control systems with several nonlinear or linear nonstationary blocks. Zbl 0155.14801 Yakubovich, V. A. 32 1967 Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009 Yakubovich, V. A. 29 1992 A frequency theorem in control theory. Zbl 0271.93017 Yakubovich, V. A. 27 1973 Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024 Yakubovich, V. A. 26 1973 The solution of certain matrix inequalities in automatic control theory. Zbl 0196.51304 Yakubovich, V. A. 25 1962 Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066 Yakubovich, V. A. 19 1988 S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033 Fradkov, A. L.; Yakubovich, V. A. 18 1973 The matrix-inequality method in the theory of the stability of nonlinear control systems. I: The absolute stability of forced vibrations. Zbl 0132.32902 Yakubovich, V. A. 17 1965 Minimization of quadratic functionals under quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems. Zbl 0305.93036 Yakubovich, V. A. 16 1973 Factorization of symmetric matrix polynomials. Zbl 0264.15009 Yakubovich, V. A. 14 1970 To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031 Yakubovich, V. A. 14 1977 Frequency theorem for evolution type equations. Zbl 0375.93031 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1976 The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1977 The frequency theorem for equations of evolutionary type. Zbl 0405.93025 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1977 Oscillatory properties of the solutions of canonical equations. Zbl 0158.09703 Yakubovich, V. A. 12 1964 The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059 Bondarko, V. A.; Yakubovich, V. A. 12 1992 The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016 Fradkov, A. L.; Yakubovich, V. A. 12 1979 Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037 Yakubovich, V. A. 11 1986 The method of matrix inequalities in the theory of stability of non- linear controlled systems. III: Absolute stability of systems with hysteresis non-linearities. Zbl 0137.06303 Yakubovich, V. A. 11 1965 Frequenzsatz für den Fall, dass die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. I. Zbl 0283.49010 Yakubovich, V. A. 11 1974 Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425 Lindquist, Anders; Yakubovich, Vladimir A. 10 1999 Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046 Likhtarnikov, A. L.; Yakubovich, V. A. 9 1997 Algebraic criterion for stochastic stability of linear systems with parametric action of the white noise type. Zbl 0256.60033 Levit, M. V.; Yakubovich, V. A. 9 1972 Frequenzsatz für den Fall, daß die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. II. Zbl 0326.49020 Yakubovich, V. A. 9 1975 Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045 Barabanov, N. E.; Yakubovich, V. A. 9 1979 Dissipativity of \(T\)-periodic linear systems. Zbl 1366.93452 Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V. 9 2007 Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Zbl 0142.36301 Yakubovich, V. A. 8 1965 Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013 Yakubovich, V. A. 8 1990 Popov’s method and its subsequent development. Zbl 1293.93599 Yakubovich, V. A. 8 2002 Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061 Yakubovich, V. A. 7 1988 The method of matrix inequalities in the stability theory of nonlinear control systems. II: Absolute stability in a class of nonlinearities with a condition on the derivatives. Zbl 0158.09904 Yakubovich, V. A. 7 1965 Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010 Yakubovich, V. A. 7 1974 Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033 Tomberg, Eh. A.; Yakubovich, V. A. 7 1989 Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020 Matveev, A. S.; Yakubovich, V. A. 7 1994 Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030 Matveev, A.; Yakubovich, V. 7 1997 Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003 Yakubovich, V. A.; Starzhinskij, V. M. 7 1987 Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032 Proskurnikov, A. V.; Yakubovich, V. A. 6 2003 Nonconvex global optimization problems in control theory. Zbl 0978.49027 Matveev, A. S.; Yakubovich, V. A. 6 1998 Necessity in quadratic criterion for absolute stability. Zbl 1163.93378 Yakubovich, V. A. 6 2000 Solution of certain matrix inequalities encountered in linear control theory. Zbl 0132.06904 Yakubovich, V. A. 6 1964 Mathematical analysis of the suspension bridges based on the example of the Tackoma bridge. Zbl 0176.25502 Pittel’, B. G.; Yakubovich, V. A. 6 1969 A frequency theorem for the case in which the state and control spaces are Hilbert spaces, with an application to some problems in the synthesis of optimal controls. I. Zbl 0302.49017 Yakubovich, V. A. 6 1975 Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037 Tomberg, Eh. A.; Yakubovich, V. A. 5 1989 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029 Arov, D. Z.; Yakubovich, V. A. 5 1982 Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025 Yakubovich, V. A. 5 1975 The small parameter method for canonical systems with periodic coefficients. Zbl 0095.28705 Yakubovich, V. A. 5 1959 Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806 Krein, M. G.; Yakubovich, V. A. 5 1963 Solution of an algebraic problem encountered in control theory. Zbl 0225.93023 Yakubovich, V. A. 5 1970 Absolute instability of nonlinear control systems. II: Systems with nonstationary nonlinearities. The circle criterion. Zbl 0269.93044 Yakubovich, V. A. 5 1971 Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024 Yakubovich, V. A. 5 1973 Universal regulators in invariance and tracking problems. Zbl 0879.93018 Yakubovich, V. A. 5 1995 Optimization and invariance of linear stationary control systems. Zbl 0564.93026 Yakubovich, V. A. 4 1984 On one problem of Smale. Zbl 0973.34026 Tomberg, Eh. A.; Yakubovich, V. A. 4 2000 On the invariance of a control system. Zbl 1075.93019 Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich 4 2003 Theory of adaptive systems. Zbl 0181.47604 Yakubovich, V. A. 4 1968 Periodic and almost periodic limit states of controlled systems with several, in general, discontinuous nonlinearities. Zbl 0183.16003 Yakubovich, V. A. 4 1966 Argumente auf einer Gruppe symplektischer Matrizen. Zbl 0267.22015 Yakubovich, V. A. 4 1961 A frequency theorem for the case in which the state and control spaces are Hilbert spaces, with an application to some problems of synthesis of optimal controls. II. Zbl 0333.49020 Yakubovich, V. A. 4 1976 Discrete frequency theorem for the case of Hilbert spaces of controls and states. Zbl 0346.49005 Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 4 1976 Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005 Yakubovich, V. A. 4 1977 Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044 Yakubovich, V. A. 3 1981 A turnpike theorem in a continuous optimization problem. Zbl 0524.49028 Gusev, D. E.; Yakubovich, V. A. 3 1983 Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060 Yakubovich, V. A. 3 1994 Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033 Yakubovich, V. A. 3 1994 Synthesis of an adaptive regulator in the problem of invariance of an uncertain discrete linear system. Zbl 1180.93038 Nebos’ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A. 3 2009 Adaptive systems with multistep goal conditions. Zbl 0211.18702 Yakubovich, V. A. 3 1968 Design of stabilizing controllers that ensure that the output variable of a control system is independent of the external action. Zbl 1075.93535 Yakubovich, V. A. 3 2001 The structure of the function space of complex canonical equations with periodic coefficients. Zbl 0114.31201 Yakubovich, V. A. 3 1961 The conditions for absolute stability of a control system with a hysteresis-type nonlinearity. Zbl 0131.31703 Yakubovich, V. A. 3 1963 Absolute stability of nonlinear control systems in critical cases. II. Zbl 0137.28901 Yakubovich, V. A. 3 1963 Problem in unsupervised learning of purposeful behavior. Zbl 0214.42503 Yakubovich, V. A. 3 1969 On synthesis of optimal controls in a linear differential game with quadratic payoff. Zbl 0227.90061 Yakubovich, V. A. 3 1970 Absolute instability of nonlinear control systems. I: General frequency criteria. Zbl 0269.93043 Yakubovich, V. A. 3 1970 The problem of the invariance of a control system with respect to some of the output variables. Zbl 1155.93411 Proskurnikov, A. V.; Yakubovich, V. A. 3 2006 Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001 Yakubovich, V. A. 3 1985 Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035 Megretskij, A. V.; Yakubovich, V. A. 3 1993 Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011 Yakubovich, V. A. 3 1991 The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053 Proskurnikov, A. V.; Yakubovich, V. A. 3 2008 On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037 Yakubovich, V. A. 2 1982 Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029 Gusev, D. E.; Yakubovich, V. A. 2 1983 Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058 Lindkvist, A.; Yakubovich, V. A. 2 1998 A quadratic criterion for absolute stability. Zbl 0981.93059 Yakubovich, V. A. 2 1998 Frequency conditions of existence of two almost periodic solutions in a nonlinear control system. Zbl 0335.93025 Burkin, I. M.; Yakubovich, V. A. 2 1976 The problem of absolute invariance for control systems with delay. Zbl 1064.93016 Proskurnikov, A. V.; Yakubovich, V. A. 2 2004 Questions of the stability of solutions of a system of two linear differential equations of canonical form with periodic coefficients. Translat. by W. S. Loud. Zbl 0080.07002 Yakubovich, V. A. 2 1958 On the boundedness and stability in the whole of the solutions of some non-linear differential equations. Zbl 0085.30702 Yakubovich, V. A. 2 1958 On the dynamic stability of elastic systems. Zbl 0085.18402 Yakubovich, V. A. 2 1958 The absolute stability of nonlinear control systems in critical cases. III. Zbl 0139.04603 Yakubovich, V. A. 2 1964 Über das asymptotische Verhalten von Differentialgleichungen. Zbl 0042.09604 Yakubovich, V. A. 2 1951 Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003 Yakubovich, V. A.; Yakubovich, E. D. 2 1993 Linear control systems with a reference model. Zbl 1152.93028 Proskurnikov, A. V.; Yakubovich, V. A. 2 2007 Universal regulators for optimal tracking of polyharmonic signals in systems with delays. Zbl 1155.93412 Proskurnikov, A. V.; Yakubovich, V. A. 2 2006 Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039 Lindquist, Anders; Yakubovich, Vladimir A. 2 1997 Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009 Likhtarnikov, A. L.; Yakubovich, V. A. 2 1977 Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012 Yakubovich, V. A. 2 1978 Stabilization of a certain class of uniformly controllable systems. Zbl 1264.93028 Zuber, I. E.; Yakubovich, V. A.; Gelig, A. Kh. 1 2012 Synthesis of an adaptive regulator in the problem of invariance of an uncertain discrete linear system. Zbl 1180.93038 Nebos’ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A. 3 2009 Synthesis of an adaptive regulator in the stabilization of an uncertain discrete linear system. Zbl 1181.93073 Nebos’ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A. 1 2009 The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053 Proskurnikov, A. V.; Yakubovich, V. A. 3 2008 Optimal tracking of stochastic signals with unknown spectral density in discrete-time control systems. Zbl 1164.93008 Proskurnikov, A. V.; Yakubovich, V. A. 1 2008 Dissipativity of \(T\)-periodic linear systems. Zbl 1366.93452 Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V. 9 2007 Linear control systems with a reference model. Zbl 1152.93028 Proskurnikov, A. V.; Yakubovich, V. A. 2 2007 The problem of the invariance of a control system with respect to some of the output variables. Zbl 1155.93411 Proskurnikov, A. V.; Yakubovich, V. A. 3 2006 Universal regulators for optimal tracking of polyharmonic signals in systems with delays. Zbl 1155.93412 Proskurnikov, A. V.; Yakubovich, V. A. 2 2006 Universal regulators for optimal tracking of stochastic signals with an unknown spectral density. Zbl 1138.93053 Proskurnikov, A. V.; Yakubovich, V. A. 1 2006 Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002 Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh. 101 2004 The problem of absolute invariance for control systems with delay. Zbl 1064.93016 Proskurnikov, A. V.; Yakubovich, V. A. 2 2004 Frequency criteria of dichotomy and the absolute stability of the integral equations with quadratic constraints and delays. Zbl 1069.45003 Altshuller, D.; Proskurnikov, A. V.; Yakubovich, V. A. 1 2004 Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032 Proskurnikov, A. V.; Yakubovich, V. A. 6 2003 On the invariance of a control system. Zbl 1075.93019 Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich 4 2003 Nonconvex global optimization problems: Constrained infinite-horizon linear-quadratic control problems for discrete systems. Zbl 1161.49311 Yakubovich, V. A. 1 2003 Popov’s method and its subsequent development. Zbl 1293.93599 Yakubovich, V. A. 8 2002 Design of stabilizing controllers that ensure that the output variable of a control system is independent of the external action. Zbl 1075.93535 Yakubovich, V. A. 3 2001 Necessity in quadratic criterion for absolute stability. Zbl 1163.93378 Yakubovich, V. A. 6 2000 On one problem of Smale. Zbl 0973.34026 Tomberg, Eh. A.; Yakubovich, V. A. 4 2000 Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425 Lindquist, Anders; Yakubovich, Vladimir A. 10 1999 Nonconvex global optimization problems in control theory. Zbl 0978.49027 Matveev, A. S.; Yakubovich, V. A. 6 1998 Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058 Lindkvist, A.; Yakubovich, V. A. 2 1998 A quadratic criterion for absolute stability. Zbl 0981.93059 Yakubovich, V. A. 2 1998 Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046 Likhtarnikov, A. L.; Yakubovich, V. A. 9 1997 Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030 Matveev, A.; Yakubovich, V. 7 1997 Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039 Lindquist, Anders; Yakubovich, Vladimir A. 2 1997 Universal controllers for optimal damping of forced oscillations in linear discrete systems. Zbl 0960.93035 Lindkvist, A.; Yakubovich, V. A. 1 1997 Optimal tracing of harmonic signals in linear systems with noise in measurements. Zbl 0971.93036 Shiryaev, A. S.; Yakubovich, V. A. 1 1997 Optimal damping of forced oscillations in discrete-time systems by output feedback. Zbl 0886.93025 Lindquist, Anders; Yakubovich, Vladimir A. 1 1997 Universal regulators in invariance and tracking problems. Zbl 0879.93018 Yakubovich, V. A. 5 1995 Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020 Matveev, A. S.; Yakubovich, V. A. 7 1994 Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060 Yakubovich, V. A. 3 1994 Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033 Yakubovich, V. A. 3 1994 On M. G. Krein’s work in the theory of linear periodic Hamiltonian systems. Zbl 0852.70010 Yakubovich, V. A. 1 1994 Optimal tracking of deterministic harmonic signals with known spectrum. Zbl 0847.93034 Yakubovich, V. A. 1 1994 Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035 Megretskij, A. V.; Yakubovich, V. A. 3 1993 Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003 Yakubovich, V. A.; Yakubovich, E. D. 2 1993 Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009 Yakubovich, V. A. 29 1992 The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059 Bondarko, V. A.; Yakubovich, V. A. 12 1992 A stochastic linear-quadratic optimal control problem for stationary systems with quadratic constraints. Zbl 0839.93080 Dokuchaev, N. G.; Yakubovich, V. A. 1 1992 Nonconvex problems of global optimization. Zbl 0818.49015 Matveev, A. S.; Yakubovich, V. A. 1 1992 Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011 Yakubovich, V. A. 3 1991 Nonoscillatority criteria of linear periodic Hamiltonian systems and their applications. Zbl 0782.70014 Yakubovich, V. A. 1 1991 Using the recurrent AIM inequalities method for adaptive control of nonminimumphase systems. Zbl 0735.93045 Bondarko, V. A.; Gusev, S. V.; Yakubovich, V. A. 1 1991 Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013 Yakubovich, V. A. 8 1990 Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033 Tomberg, Eh. A.; Yakubovich, V. A. 7 1989 Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037 Tomberg, Eh. A.; Yakubovich, V. A. 5 1989 Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066 Yakubovich, V. A. 19 1988 Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061 Yakubovich, V. A. 7 1988 Orbital stability of periodic Laplace motions in the three body problem. Zbl 0652.70020 Polunin, I. A.; Yakubovich, V. A. 1 1988 Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003 Yakubovich, V. A.; Starzhinskij, V. M. 7 1987 Application of the theory of linear periodic Hamiltonian systems to problems of absolute stability of nonlinear systems with periodically time-dependent linear part. Zbl 0632.34057 Yakubovich, V. A. 1 1987 Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037 Yakubovich, V. A. 11 1986 A frequency theorem for periodic systems. Zbl 0608.93041 Yakubovich, V. A. 1 1986 Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001 Yakubovich, V. A. 3 1985 Optimization and invariance of linear stationary control systems. Zbl 0564.93026 Yakubovich, V. A. 4 1984 Sufficient conditions in optimal control problems. Zbl 0531.49015 Yakubovich, V. A. 1 1984 A turnpike theorem in a continuous optimization problem. Zbl 0524.49028 Gusev, D. E.; Yakubovich, V. A. 3 1983 Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029 Gusev, D. E.; Yakubovich, V. A. 2 1983 Critical frequencies of quasicanonical systems. Zbl 0516.34047 Yakubovich, V. A. 1 1983 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029 Arov, D. Z.; Yakubovich, V. A. 5 1982 On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037 Yakubovich, V. A. 2 1982 The maximum principle for stochastic differential equations with determined control. Zbl 0509.93067 Dokuchaev, N. G.; Yakubovich, V. A. 1 1982 Adaptive control of dynamical objects. (Adaptivnoe upravlenie dinamicheskimi ob”ektami). Zbl 0522.93002 Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A. 99 1981 Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044 Yakubovich, V. A. 3 1981 A discrete frequency theorem for the case of Hilbert spaces of states and controls. II. Zbl 0473.49005 Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 1 1981 A discrete frequency theorem for the case of Hilbert spaces of states and controls. I. Zbl 0442.93046 Antonov, V. G.; Likhtarnikov, A. L.; Yakubovich, V. A. 2 1980 Adaptive control algorithm for a manipulator. Zbl 0484.93047 Gusev, S. V.; Yakubovich, V. A. 1 1980 On the determination of optimal strategies in linear discrete games with quadratic payoff functional. Zbl 0437.90114 Antonov, V. G.; Yakubovich, V. A. 1 1980 Maximum principle in a problem of regulator optimization. Zbl 0462.49028 Yakubovich, V. A. 1 1980 The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016 Fradkov, A. L.; Yakubovich, V. A. 12 1979 Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045 Barabanov, N. E.; Yakubovich, V. A. 9 1979 The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051 Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A. 129 1978 Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012 Yakubovich, V. A. 2 1978 Frequency theorems and a stabilization theorem for unbounded operators. Zbl 0426.93046 Likhtarnikov, A. L.; Yakubovich, V. A. 2 1978 Adaptive system for control of autonomous mobile robot. Zbl 0448.93029 Belenkov, V. D.; Gusev, S. V.; Zotov, Yu. K.; Ruzhanskiĭ, V. I.; Timofeev, A. V.; Frolov, V. M.; Yakubovich, V. A. 2 1978 A contribution to the abstract theory of optimal control. II. Zbl 0412.49016 Yakubovich, V. A. 1 1978 To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031 Yakubovich, V. A. 14 1977 The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1977 The frequency theorem for equations of evolutionary type. Zbl 0405.93025 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1977 Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005 Yakubovich, V. A. 4 1977 Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009 Likhtarnikov, A. L.; Yakubovich, V. A. 2 1977 Frequency theorem for evolution type equations. Zbl 0375.93031 Likhtarnikov, A. L.; Yakubovich, V. A. 13 1976 A frequency theorem for the case in which the state and control spaces are Hilbert spaces, with an application to some problems of synthesis of optimal controls. II. Zbl 0333.49020 Yakubovich, V. A. 4 1976 Discrete frequency theorem for the case of Hilbert spaces of controls and states. Zbl 0346.49005 Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 4 1976 Frequency conditions of existence of two almost periodic solutions in a nonlinear control system. Zbl 0335.93025 Burkin, I. M.; Yakubovich, V. A. 2 1976 Adaptive suboptimale Steuerung eines linearen dynamischen Objekts bei Vorhandensein einer Retardierung in der Steuerung. Zbl 0324.93024 Yakubovich, V. A. 1 1976 Linear differential equations with periodic coefficients. Vol. 1, 2. Translated from Russian by D. Louvish. Zbl 0308.34001 Yakubovich, V. A.; Starzhinskij, V. M. 70 1975 Frequenzsatz für den Fall, daß die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. II. Zbl 0326.49020 Yakubovich, V. A. 9 1975 A frequency theorem for the case in which the state and control spaces are Hilbert spaces, with an application to some problems in the synthesis of optimal controls. I. Zbl 0302.49017 Yakubovich, V. A. 6 1975 Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025 Yakubovich, V. A. 5 1975 On the determination of optimal strategies in linear discrete games with the quadratic functional of payment. Zbl 0318.90063 Antonov, V. G.; Yakubovich, V. A. 1 1975 Frequenzsatz für den Fall, dass die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. I. Zbl 0283.49010 Yakubovich, V. A. 11 1974 Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010 Yakubovich, V. A. 7 1974 Adaptive control of stable dynamic plants. Zbl 0297.93030 Lyubachevskij, B. D.; Yakubovich, V. A. 1 1974 A frequency theorem in control theory. Zbl 0271.93017 Yakubovich, V. A. 27 1973 Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024 Yakubovich, V. A. 26 1973 S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033 Fradkov, A. L.; Yakubovich, V. A. 18 1973 Minimization of quadratic functionals under quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems. Zbl 0305.93036 Yakubovich, V. A. 16 1973 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 985 Authors 35 Leonov, Gennadiĭ Alekseevich 34 Fradkov, Aleksandr L’vovich 28 Yakubovich, Vladimir Andreevich 17 Proskurnikov, Anton Viktorovich 16 Logemann, Hartmut 15 Efimov, Denis V. 15 Petersen, Ian Richard 14 Gelig, Arkadiĭ Khaimovich 14 Kogan, Mark Mikhailovich 13 Reitmann, Volker 12 Barabanov, Nikita E. 12 Kuznetsov, Nikolay Vladimirovich 12 Savkin, Andrey V. 12 Sokolov, Victor F. 12 Zuber, Irina Efremovna 10 Balandin, Dmitriĭ Vladimirovich 10 Guiver, Chris 10 Nijmeijer, Henk 9 Xia, Yong 8 Anikushin, Mikhaĭl Mikhaĭlovich 8 Núñez Jiménez, Carmen 8 Polyak, Boris Teodorovich 8 Ugrinovskii, Valery A. 7 Gazzola, Filippo 7 Pogromsky, Alexander Yu. 7 Scherer, Carsten W. 7 van de Wouw, Nathan 6 Bunich, A. L. 6 Fabbri, Roberta 6 Gusev, Sergei V. 6 Johnson, Russell Allan 6 Kamenetskij, V. A. 6 Ortega, Romeo S. 6 Pandolfi, Luciano 6 Shiriaev, Anton Stanislavovich 5 Andrievskii, B. R. 5 Barabanov, Andreĭ Evgen’evich 5 Bondarko, V. A. 5 Carrasco, Joaquín 5 Churilov, Alexander N. 5 Franzè, Giuseppe 5 Heath, William Paul 5 Huang, Lin 5 Iwasaki, Tetsuya 5 Kılınç Karzan, Fatma 5 Mokaev, R. N. 5 Rapoport, Lev B. 5 Smirnova, Vera Borisovna 5 Wang, Shu 5 Yang, Ying 5 Zhou, Jun 4 Aleksandrov, Al’bert Georgievich 4 Bachelier, Olivier 4 Barkin, A. I. 4 Bomze, Immanuel M. 4 Brusin, Vladimir A. 4 Burkin, Igor’ Mikhaĭlovich 4 Figotin, Alexander 4 Halanay, Aristide 4 Hill, David John 4 Jönsson, Ulf T. 4 Khusainov, Denis Ya. 4 Li, Duan 4 Mehdi, Driss 4 Morari, Manfred 4 Nebos’ko, E. Yu. 4 Obaya, Rafael 4 Pakshin, P. V. 4 Perkin, A. A. 4 Răsvan, Vladimir B. 4 Ryashko, Lev Borisovich 4 Seiler, Peter J. 4 Šepitka, Peter 4 Serovaĭskiĭ, Simon Ya. 4 Sheu, Ruey-Lin 4 Šimon Hilscher, Roman 4 Tempo, Roberto 4 Utina, N. V. 4 Wang, Alex L. 4 Zhong, Shou-Ming 3 Aleksandrov, Konstantin Dmitrievich 3 Annaswamy, Anuradha M. 3 Belova, Anna Sergeevna 3 Berchio, Elvise 3 Cao, Jiuwen 3 Diblík, Josef 3 Du, Baozhu 3 Duan, Zhisheng 3 Emel’yanov, Stanislav Vasil’evich 3 Famularo, Domenico 3 Flores-Bazán, Fabián 3 Fridman, Leonid M. 3 Fu, Minyue 3 Ibragimova, Liliya Sunagatovna 3 Ionescu, Vlad 3 Jiang, Rujun 3 Kalinichenko, Dina Yu. 3 Kiseleva, M. A. 3 Kostyukova, Olga Ivanova 3 Kudryashova, Elena Vladimirovna ...and 885 more Authors all top 5 Cited in 167 Serials 102 Automation and Remote Control 82 Automatica 53 Systems & Control Letters 42 Siberian Mathematical Journal 33 Vestnik St. Petersburg University. 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Principles and Applications of Systems and Integration 5 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Chaos, Solitons and Fractals 5 Applied Mathematics and Computation 5 Journal of Soviet Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 SIAM Journal on Control and Optimization 5 Computational Mathematics and Modeling 5 Mathematical Programming. Series A. Series B 5 Journal of Dynamics and Differential Equations 5 Nonlinear Analysis. Hybrid Systems 4 Prikladnaya Matematika i Mekhanika 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Vibration and Control 4 Nonlinear Analysis. 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Mathematica 1 Advances in Mathematics 1 BIT 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 IEEE Transactions on Automatic Control ...and 67 more Serials all top 5 Cited in 50 Fields 539 Systems theory; control (93-XX) 201 Ordinary differential equations (34-XX) 88 Operations research, mathematical programming (90-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 78 Dynamical systems and ergodic theory (37-XX) 57 Mechanics of particles and systems (70-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 33 Partial differential equations (35-XX) 27 Operator theory (47-XX) 23 Mechanics of deformable solids (74-XX) 22 Computer science (68-XX) 21 Biology and other natural sciences (92-XX) 19 Numerical analysis (65-XX) 17 Difference and functional equations (39-XX) 15 Probability theory and stochastic processes (60-XX) 14 Optics, electromagnetic theory (78-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Fluid mechanics (76-XX) 9 Information and communication theory, circuits (94-XX) 7 Differential geometry (53-XX) 6 History and biography (01-XX) 6 Integral equations (45-XX) 6 Quantum theory (81-XX) 5 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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