Edit Profile Yakubovich, Vladimir Andreevich Compute Distance To: Compute Author ID: yakubovich.vladimir-andreevich Published as: Yakubovich, V. A.; Yakubovich, Vladimir A.; Yakubovich, Vladimir Andreevich; Vakubovich, V. A.; Yakuvobich, V. A.; Yakubovich, V. 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: 5 Publications 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, Sergeĭ Valentinovich 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 Lindkvist, A. 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 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 Ruzhanskij, V. I. 1 Savkin, Andrey V. 1 Shiryaev, A. S. 1 Shvedov, A. M. 1 Smirnov, V. I. 1 Smirnov, Vladimir Ivanovich 1 Sokolov, B. M. 1 Timofeev, Andrey V. 1 Vershik, Anatoliĭ Moiseevich 1 Volkov, Yu. A. 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 129 Systems theory; control (93-XX) 62 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) 7 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 138 Publications have been cited 1,039 times in 717 Documents Cited by ▼ Year ▼ The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A. 121 1978 S-procedure in nonlinear control theory. Zbl 0232.93010Yakubovich, V. A. 94 1971 Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh. 90 2004 Adaptive control of dynamical objects. (Adaptivnoe upravlenie dinamicheskimi ob”ektami). Zbl 0522.93002Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A. 88 1981 Frequency conditions for the absolute stability of control systems with several nonlinear or linear nonstationary blocks. Zbl 0155.14801Yakubovich, V. A. 29 1967 A frequency theorem in control theory. Zbl 0271.93017Yakubovich, V. A. 26 1973 Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009Yakubovich, V. A. 24 1992 Linear differential equations with periodic coefficients. Vol. 1, 2. Translated from Russian by D. Louvish. Zbl 0308.34001Yakubovich, V. A.; Starzhinskij, V. M. 23 1975 Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024Yakubovich, V. A. 22 1973 The solution of certain matrix inequalities in automatic control theory. Zbl 0196.51304Yakubovich, V. A. 20 1962 Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066Yakubovich, V. A. 19 1988 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 0305.93036Yakubovich, V. A. 15 1973 The matrix-inequality method in the theory of the stability of nonlinear control systems. I: The absolute stability of forced vibrations. Zbl 0132.32902Yakubovich, V. A. 15 1965 S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033Fradkov, A. L.; Yakubovich, V. A. 15 1973 To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031Yakubovich, V. A. 13 1977 Frequency theorem for evolution type equations. Zbl 0375.93031Likhtarnikov, A. L.; Yakubovich, V. A. 13 1976 Factorization of symmetric matrix polynomials. Zbl 0264.15009Yakubovich, V. A. 13 1970 The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059Bondarko, V. A.; Yakubovich, V. A. 11 1992 Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037Yakubovich, V. A. 11 1986 Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425Lindquist, Anders; Yakubovich, Vladimir A. 10 1999 Frequenzsatz für den Fall, dass die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. I. Zbl 0283.49010Yakubovich, V. A. 10 1974 The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030Likhtarnikov, A. L.; Yakubovich, V. A. 9 1977 The frequency theorem for equations of evolutionary type. Zbl 0405.93025Likhtarnikov, A. L.; Yakubovich, V. A. 9 1977 Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045Barabanov, N. E.; Yakubovich, V. A. 9 1979 Frequenzsatz für den Fall, daß die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. II. Zbl 0326.49020Yakubovich, V. A. 9 1975 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 0137.06303Yakubovich, V. A. 9 1965 Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046Likhtarnikov, A. L.; Yakubovich, V. A. 9 1997 The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016Fradkov, A. L.; Yakubovich, V. A. 8 1979 Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Zbl 0142.36301Yakubovich, V. A. 8 1965 Oscillatory properties of the solutions of canonical equations. Zbl 0158.09703Yakubovich, V. A. 8 1964 Algebraic criterion for stochastic stability of linear systems with parametric action of the white noise type. Zbl 0256.60033Levit, M. V.; Yakubovich, V. A. 8 1972 Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013Yakubovich, V. A. 7 1990 Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030Matveev, A.; Yakubovich, V. 7 1997 Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061Yakubovich, V. A. 7 1988 Dissipativity of \(T\)-periodic linear systems. Zbl 1366.93452Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V. 7 2007 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 0302.49017Yakubovich, V. A. 6 1975 Mathematical analysis of the suspension bridges based on the example of the Tackoma bridge. Zbl 0176.25502Pittel’, B. G.; Yakubovich, V. A. 6 1969 Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033Tomberg, Eh. A.; Yakubovich, V. A. 6 1989 Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010Yakubovich, V. A. 6 1974 Popov’s method and its subsequent development. Zbl 1293.93599Yakubovich, V. A. 6 2002 Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025Yakubovich, V. A. 5 1975 Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806Krein, M. G.; Yakubovich, V. A. 5 1963 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 0158.09904Yakubovich, V. A. 5 1965 Necessity in quadratic criterion for absolute stability. Zbl 1163.93378Yakubovich, V. A. 5 2000 Solution of an algebraic problem encountered in control theory. Zbl 0225.93023Yakubovich, V. A. 5 1970 Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020Matveev, A. S.; Yakubovich, V. A. 5 1994 Universal regulators in invariance and tracking problems. Zbl 0879.93018Yakubovich, V. A. 5 1995 The small parameter method for canonical systems with periodic coefficients. Zbl 0095.28705Yakubovich, V. A. 5 1959 Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005Yakubovich, V. A. 4 1977 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 0333.49020Yakubovich, V. A. 4 1976 Discrete frequency theorem for the case of Hilbert spaces of controls and states. Zbl 0346.49005Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 4 1976 Solution of certain matrix inequalities encountered in linear control theory. Zbl 0132.06904Yakubovich, V. A. 4 1964 Periodic and almost periodic limit states of controlled systems with several, in general, discontinuous nonlinearities. Zbl 0183.16003Yakubovich, V. A. 4 1966 Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032Proskurnikov, A. V.; Yakubovich, V. A. 4 2003 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029Arov, D. Z.; Yakubovich, V. A. 4 1982 Nonconvex global optimization problems in control theory. Zbl 0978.49027Matveev, A. S.; Yakubovich, V. A. 4 1998 On one problem of Smale. Zbl 0973.34026Tomberg, Eh. A.; Yakubovich, V. A. 4 2000 Absolute instability of nonlinear control systems. II: Systems with nonstationary nonlinearities. The circle criterion. Zbl 0269.93044Yakubovich, V. A. 4 1971 Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024Yakubovich, V. A. 4 1973 Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037Tomberg, Eh. A.; Yakubovich, V. A. 4 1989 The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053Proskurnikov, A. V.; Yakubovich, V. A. 3 2008 Synthesis of an adaptive regulator in the problem of invariance of an uncertain discrete linear system. Zbl 1180.93038Nebos’ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A. 3 2009 The structure of the function space of complex canonical equations with periodic coefficients. Zbl 0114.31201Yakubovich, V. A. 3 1961 The conditions for absolute stability of a control system with a hysteresis-type nonlinearity. Zbl 0131.31703Yakubovich, V. A. 3 1963 Absolute stability of nonlinear control systems in critical cases. II. Zbl 0137.28901Yakubovich, V. A. 3 1963 Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044Yakubovich, V. A. 3 1981 A turnpike theorem in a continuous optimization problem. Zbl 0524.49028Gusev, D. E.; Yakubovich, V. A. 3 1983 On the invariance of a control system. Zbl 1075.93019Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich 3 2003 Design of stabilizing controllers that ensure that the output variable of a control system is independent of the external action. Zbl 1075.93535Yakubovich, V. A. 3 2001 On synthesis of optimal controls in a linear differential game with quadratic payoff. Zbl 0227.90061Yakubovich, V. A. 3 1970 Absolute instability of nonlinear control systems. I: General frequency criteria. Zbl 0269.93043Yakubovich, V. A. 3 1970 Optimization and invariance of linear stationary control systems. Zbl 0564.93026Yakubovich, V. A. 3 1984 Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033Yakubovich, V. A. 3 1994 The problem of the invariance of a control system with respect to some of the output variables. Zbl 1155.93411Proskurnikov, A. V.; Yakubovich, V. A. 3 2006 Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001Yakubovich, V. A. 3 1985 Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060Yakubovich, V. A. 3 1994 Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035Megretskij, A. V.; Yakubovich, V. A. 2 1993 Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012Yakubovich, V. A. 2 1978 Frequency theorems and a stabilization theorem for unbounded operators. Zbl 0426.93046Likhtarnikov, A. L.; Yakubovich, V. A. 2 1978 On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037Yakubovich, V. A. 2 1982 Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029Gusev, D. E.; Yakubovich, V. A. 2 1983 Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011Yakubovich, V. A. 2 1991 Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058Lindkvist, A.; Yakubovich, V. A. 2 1998 A quadratic criterion for absolute stability. Zbl 0981.93059Yakubovich, V. A. 2 1998 Existence of solutions of linear Hamilton equations with unbounded operator coefficients. Zbl 0202.14903Derguzov, V. I.; Yakubovich, V. A. 2 1963 Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039Lindquist, Anders; Yakubovich, Vladimir A. 2 1997 Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003Yakubovich, V. A.; Yakubovich, E. D. 2 1993 Linear control systems with a reference model. Zbl 1152.93028Proskurnikov, A. V.; Yakubovich, V. A. 2 2007 Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003Yakubovich, V. A.; Starzhinskij, V. M. 2 1987 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 0080.07002Yakubovich, V. A. 2 1958 On the dynamic stability of elastic systems. Zbl 0085.18402Yakubovich, V. A. 2 1958 Frequency criteria of dichotomy and the absolute stability of the integral equations with quadratic constraints and delays. Zbl 1069.45003Altshuller, D.; Proskurnikov, A. V.; Yakubovich, V. A. 1 2004 Using the recurrent AIM inequalities method for adaptive control of nonminimumphase systems. Zbl 0735.93045Bondarko, V. A.; Gusev, S. V.; Yakubovich, V. A. 1 1991 Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009Likhtarnikov, A. L.; Yakubovich, V. A. 1 1977 A contribution to the abstract theory of optimal control. II. Zbl 0412.49016Yakubovich, V. A. 1 1978 On the determination of optimal strategies in linear discrete games with quadratic payoff functional. Zbl 0437.90114Antonov, V. G.; Yakubovich, V. A. 1 1980 Adaptive system for control of autonomous mobile robot. Zbl 0448.93029Belenkov, V. D.; Gusev, S. V.; Zotov, Yu. K.; Ruzhanskij, V. I.; Timofeev, A. V.; Frolov, V. M.; Yakubovich, V. A. 1 1978 Maximum principle in a problem of regulator optimization. Zbl 0462.49028Yakubovich, V. A. 1 1980 A discrete frequency theorem for the case of Hilbert spaces of states and controls. II. Zbl 0473.49005Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 1 1981 On the determination of optimal strategies in linear discrete games with the quadratic functional of payment. Zbl 0318.90063Antonov, V. G.; Yakubovich, V. A. 1 1975 Stabilization of a certain class of uniformly controllable systems. Zbl 1264.93028Zuber, 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 1180.93038Nebos’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 1181.93073Nebos’ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A. 1 2009 The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053Proskurnikov, A. V.; Yakubovich, V. A. 3 2008 Optimal tracking of stochastic signals with unknown spectral density in discrete-time control systems. Zbl 1164.93008Proskurnikov, A. V.; Yakubovich, V. A. 1 2008 Dissipativity of \(T\)-periodic linear systems. Zbl 1366.93452Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V. 7 2007 Linear control systems with a reference model. Zbl 1152.93028Proskurnikov, 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 1155.93411Proskurnikov, A. V.; Yakubovich, V. A. 3 2006 Universal regulators for optimal tracking of polyharmonic signals in systems with delays. Zbl 1155.93412Proskurnikov, A. V.; Yakubovich, V. A. 1 2006 Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh. 90 2004 Frequency criteria of dichotomy and the absolute stability of the integral equations with quadratic constraints and delays. Zbl 1069.45003Altshuller, D.; Proskurnikov, A. V.; Yakubovich, V. A. 1 2004 The problem of absolute invariance for control systems with delay. Zbl 1064.93016Proskurnikov, A. V.; Yakubovich, V. A. 1 2004 Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032Proskurnikov, A. V.; Yakubovich, V. A. 4 2003 On the invariance of a control system. Zbl 1075.93019Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich 3 2003 Nonconvex global optimization problems: Constrained infinite-horizon linear-quadratic control problems for discrete systems. Zbl 1161.49311Yakubovich, V. A. 1 2003 Popov’s method and its subsequent development. Zbl 1293.93599Yakubovich, V. A. 6 2002 Design of stabilizing controllers that ensure that the output variable of a control system is independent of the external action. Zbl 1075.93535Yakubovich, V. A. 3 2001 Necessity in quadratic criterion for absolute stability. Zbl 1163.93378Yakubovich, V. A. 5 2000 On one problem of Smale. Zbl 0973.34026Tomberg, Eh. A.; Yakubovich, V. A. 4 2000 Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425Lindquist, Anders; Yakubovich, Vladimir A. 10 1999 Nonconvex global optimization problems in control theory. Zbl 0978.49027Matveev, A. S.; Yakubovich, V. A. 4 1998 Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058Lindkvist, A.; Yakubovich, V. A. 2 1998 A quadratic criterion for absolute stability. Zbl 0981.93059Yakubovich, V. A. 2 1998 Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046Likhtarnikov, A. L.; Yakubovich, V. A. 9 1997 Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030Matveev, A.; Yakubovich, V. 7 1997 Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039Lindquist, Anders; Yakubovich, Vladimir A. 2 1997 Optimal damping of forced oscillations in discrete-time systems by output feedback. Zbl 0886.93025Lindquist, Anders; Yakubovich, Vladimir A. 1 1997 Universal controllers for optimal damping of forced oscillations in linear discrete systems. Zbl 0960.93035Lindkvist, A.; Yakubovich, V. A. 1 1997 Optimal tracing of harmonic signals in linear systems with noise in measurements. Zbl 0971.93036Shiryaev, A. S.; Yakubovich, V. A. 1 1997 Universal regulators in invariance and tracking problems. Zbl 0879.93018Yakubovich, V. A. 5 1995 Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020Matveev, A. S.; Yakubovich, V. A. 5 1994 Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033Yakubovich, V. A. 3 1994 Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060Yakubovich, V. A. 3 1994 Optimal tracking of deterministic harmonic signals with known spectrum. Zbl 0847.93034Yakubovich, V. A. 1 1994 On M. G. Krein’s work in the theory of linear periodic Hamiltonian systems. Zbl 0852.70010Yakubovich, V. A. 1 1994 Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035Megretskij, A. V.; Yakubovich, V. A. 2 1993 Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003Yakubovich, V. A.; Yakubovich, E. D. 2 1993 Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009Yakubovich, V. A. 24 1992 The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059Bondarko, V. A.; Yakubovich, V. A. 11 1992 A stochastic linear-quadratic optimal control problem for stationary systems with quadratic constraints. Zbl 0839.93080Dokuchaev, N. G.; Yakubovich, V. A. 1 1992 Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011Yakubovich, V. A. 2 1991 Using the recurrent AIM inequalities method for adaptive control of nonminimumphase systems. Zbl 0735.93045Bondarko, V. A.; Gusev, S. V.; Yakubovich, V. A. 1 1991 Nonoscillatority criteria of linear periodic Hamiltonian systems and their applications. Zbl 0782.70014Yakubovich, V. A. 1 1991 Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013Yakubovich, V. A. 7 1990 Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033Tomberg, Eh. A.; Yakubovich, V. A. 6 1989 Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037Tomberg, Eh. A.; Yakubovich, V. A. 4 1989 Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066Yakubovich, V. A. 19 1988 Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061Yakubovich, V. A. 7 1988 Orbital stability of periodic Laplace motions in the three body problem. Zbl 0652.70020Polunin, I. A.; Yakubovich, V. A. 1 1988 Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003Yakubovich, V. A.; Starzhinskij, V. M. 2 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 0632.34057Yakubovich, V. A. 1 1987 Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037Yakubovich, V. A. 11 1986 A frequency theorem for periodic systems. Zbl 0608.93041Yakubovich, V. A. 1 1986 Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001Yakubovich, V. A. 3 1985 Optimization and invariance of linear stationary control systems. Zbl 0564.93026Yakubovich, V. A. 3 1984 Sufficient conditions in optimal control problems. Zbl 0531.49015Yakubovich, V. A. 1 1984 A turnpike theorem in a continuous optimization problem. Zbl 0524.49028Gusev, D. E.; Yakubovich, V. A. 3 1983 Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029Gusev, D. E.; Yakubovich, V. A. 2 1983 Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029Arov, D. Z.; Yakubovich, V. A. 4 1982 On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037Yakubovich, V. A. 2 1982 The maximum principle for stochastic differential equations with determined control. Zbl 0509.93067Dokuchaev, N. G.; Yakubovich, V. A. 1 1982 Adaptive control of dynamical objects. (Adaptivnoe upravlenie dinamicheskimi ob”ektami). Zbl 0522.93002Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A. 88 1981 Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044Yakubovich, V. A. 3 1981 A discrete frequency theorem for the case of Hilbert spaces of states and controls. II. Zbl 0473.49005Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 1 1981 On the determination of optimal strategies in linear discrete games with quadratic payoff functional. Zbl 0437.90114Antonov, V. G.; Yakubovich, V. A. 1 1980 Maximum principle in a problem of regulator optimization. Zbl 0462.49028Yakubovich, V. A. 1 1980 A discrete frequency theorem for the case of Hilbert spaces of states and controls. I. Zbl 0442.93046Antonov, V. G.; Likhtarnikov, A. L.; Yakubovich, V. A. 1 1980 Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045Barabanov, N. E.; Yakubovich, V. A. 9 1979 The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016Fradkov, A. L.; Yakubovich, V. A. 8 1979 The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A. 121 1978 Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012Yakubovich, V. A. 2 1978 Frequency theorems and a stabilization theorem for unbounded operators. Zbl 0426.93046Likhtarnikov, A. L.; Yakubovich, V. A. 2 1978 A contribution to the abstract theory of optimal control. II. Zbl 0412.49016Yakubovich, V. A. 1 1978 Adaptive system for control of autonomous mobile robot. Zbl 0448.93029Belenkov, V. D.; Gusev, S. V.; Zotov, Yu. K.; Ruzhanskij, V. I.; Timofeev, A. V.; Frolov, V. M.; Yakubovich, V. A. 1 1978 To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031Yakubovich, V. A. 13 1977 The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030Likhtarnikov, A. L.; Yakubovich, V. A. 9 1977 The frequency theorem for equations of evolutionary type. Zbl 0405.93025Likhtarnikov, A. L.; Yakubovich, V. A. 9 1977 Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005Yakubovich, V. A. 4 1977 Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009Likhtarnikov, A. L.; Yakubovich, V. A. 1 1977 Frequency theorem for evolution type equations. Zbl 0375.93031Likhtarnikov, 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 0333.49020Yakubovich, V. A. 4 1976 Discrete frequency theorem for the case of Hilbert spaces of controls and states. Zbl 0346.49005Likhtarnikov, A. L.; Ponomarenko, V. I.; Yakubovich, V. A. 4 1976 Adaptive suboptimale Steuerung eines linearen dynamischen Objekts bei Vorhandensein einer Retardierung in der Steuerung. Zbl 0324.93024Yakubovich, V. A. 1 1976 Frequency conditions of existence of two almost periodic solutions in a nonlinear control system. Zbl 0335.93025Burkin, I. M.; Yakubovich, V. A. 1 1976 Linear differential equations with periodic coefficients. Vol. 1, 2. Translated from Russian by D. Louvish. Zbl 0308.34001Yakubovich, V. A.; Starzhinskij, V. M. 23 1975 Frequenzsatz für den Fall, daß die Zustands- und Steuerungsräume Hilberträume sind, und Anwendung des Satzes auf einige Syntheseaufgaben der optimalen Steuerung. II. Zbl 0326.49020Yakubovich, 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 0302.49017Yakubovich, V. A. 6 1975 Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025Yakubovich, V. A. 5 1975 On the determination of optimal strategies in linear discrete games with the quadratic functional of payment. Zbl 0318.90063Antonov, 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 0283.49010Yakubovich, V. A. 10 1974 Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010Yakubovich, V. A. 6 1974 A frequency theorem in control theory. Zbl 0271.93017Yakubovich, V. A. 26 1973 Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024Yakubovich, V. A. 22 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 0305.93036Yakubovich, V. A. 15 1973 S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033Fradkov, A. L.; Yakubovich, V. A. 15 1973 Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024Yakubovich, V. A. 4 1973 Algebraic criterion for stochastic stability of linear systems with parametric action of the white noise type. Zbl 0256.60033Levit, M. V.; Yakubovich, V. A. 8 1972 Synthesis of optimal controls for linear nonhomogeneous systems in the problem of minimizing the mean value of a quadratic functional. Zbl 0254.49011Andreev, V. A.; Kazarinov, Yu. F.; Yakubovich, V. A. 1 1972 Über die Synthese optimaler Regelungen in Problemen der Minimierung quadratischer Funktionale. Zbl 0265.49011Andreev, Valentin A.; Kazarinov, Yurii F.; Yakubovich, Vladimir A. 1 1972 Kritische Frequenzen von Systemen, die in bezug auf die Zeitumkehr invariant sind. Zbl 0284.34048Shepeleva, R. P.; Yakubovich, V. A. 1 1972 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 782 Authors 35 Leonov, Gennadiĭ Alekseevich 30 Fradkov, Aleksandr L’vovich 28 Yakubovich, Vladimir Andreevich 16 Proskurnikov, Anton Viktorovich 15 Logemann, Hartmut 15 Petersen, Ian Richard 14 Kogan, Mark Mikhailovich 13 Efimov, Denis V. 13 Gelig, Arkadiĭ Khaimovich 12 Barabanov, Nikita E. 12 Savkin, Andrey V. 11 Reitmann, Volker 11 Sokolov, Victor F. 11 Zuber, Irina Efremovna 10 Balandin, Dmitriĭ Vladimirovich 9 Guiver, Chris 9 Kuznetsov, Nikolay Vladimirovich 9 Nijmeijer, Henk 8 Núñez, Carmen A. 8 Polyak, Boris Teodorovich 8 Ugrinovskii, Valery A. 7 Andrievskiĭ, Boris Rostislavich 7 Pogromsky, Alexander Yu. 7 van de Wouw, Nathan 6 Bunich, A. L. 6 Fabbri, Roberta 6 Gazzola, Filippo 6 Johnson, Russell Allan 6 Ortega, Romeo S. 6 Pandolfi, Luciano 6 Scherer, Carsten W. 5 Anikushin, Mikhaĭl Mikhaĭlovich 5 Barabanov, Andreĭ Evgen’evich 5 Bondarko, V. A. 5 Carrasco, Joaquín 5 Churilov, Alexander N. 5 Gusev, Sergeĭ Valentinovich 5 Heath, William Paul 5 Huang, Lin 5 Iwasaki, Tetsuya 5 Kamenetskij, V. A. 5 Shiriaev, Anton Stanislavovich 5 Smirnova, Vera Borisovna 5 Xia, Yong 4 Bachelier, Olivier 4 Barkin, A. I. 4 Brusin, Vladimir A. 4 Burkin, Igor’ Mikhaĭlovich 4 Halanay, Aristide 4 Hill, David John 4 Jönsson, Ulf T. 4 Khusainov, Denis Ya. 4 Li, Duan 4 Mehdi, Driss 4 Mokaev, R. N. 4 Morari, Manfred 4 Nebos’ko, E. Yu. 4 Obaya, Rafael 4 Perkin, A. A. 4 Rapoport, Lev B. 4 Răsvan, Vladimir B. 4 Ryashko, Lev Borisovich 4 Tempo, Roberto 4 Utina, N. V. 4 Yang, Ying 4 Zhong, Shou-Ming 3 Aleksandrov, Al’bert Georgievich 3 Aleksandrov, Konstantin Dmitrievich 3 Berchio, Elvise 3 Bomze, Immanuel M. 3 Cao, Jiuwen 3 Diblík, Josef 3 Duan, Zhisheng 3 Emel’yanov, Stanislav Vasil’evich 3 Flores-Bazán, Fabián 3 Fu, Minyue 3 Ionescu, Vlad 3 Jiang, Rujun 3 Kalinichenko, Dina Yu. 3 Kiseleva, M. A. 3 Lanzon, Alexander 3 Li, Guoyin 3 Maltseva, Anastasia A. 3 Martynyuk, Anatoliĭ Andriĭovych 3 Megretski, Alexandre 3 Novo, Sylvia 3 Nudel’man, M. A. 3 Pakshin, P. V. 3 Rodman, Leiba X. 3 Sarkans, E. 3 Seiler, Peter J. 3 Shepelyavyi, A. I. 3 Sheu, Ruey-Lin 3 Solov’eva, E. P. 3 Stefanovski, Jovan D. 3 Steur, Erik 3 Wang, Shu 3 Xu, Yashan 3 Zvyagintseva, Tat’yana Evgen’evna 2 Abdalova, Yulia Alexandrovna ...and 682 more Authors all top 5 Cited in 128 Serials 96 Automation and Remote Control 77 Automatica 49 Systems & Control Letters 42 Siberian Mathematical Journal 27 Vestnik St. Petersburg University. 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