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Yakubovich, Vladimir Andreevich

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Author ID: yakubovich.vladimir-andreevich Recent zbMATH articles by "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
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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

Publications by Year

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 0544.93051
Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A.
121
1978
S-procedure in nonlinear control theory. Zbl 0232.93010
Yakubovich, V. A.
94
1971
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
90
2004
Adaptive control of dynamical objects. (Adaptivnoe upravlenie dinamicheskimi ob”ektami). Zbl 0522.93002
Fomin, 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 0155.14801
Yakubovich, V. A.
29
1967
A frequency theorem in control theory. Zbl 0271.93017
Yakubovich, V. A.
26
1973
Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009
Yakubovich, V. A.
24
1992
Linear differential equations with periodic coefficients. Vol. 1, 2. Translated from Russian by D. Louvish. Zbl 0308.34001
Yakubovich, V. A.; Starzhinskij, V. M.
23
1975
Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024
Yakubovich, V. A.
22
1973
The solution of certain matrix inequalities in automatic control theory. Zbl 0196.51304
Yakubovich, V. A.
20
1962
Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066
Yakubovich, 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 0305.93036
Yakubovich, 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 0132.32902
Yakubovich, V. A.
15
1965
S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033
Fradkov, A. L.; Yakubovich, V. A.
15
1973
To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031
Yakubovich, V. A.
13
1977
Frequency theorem for evolution type equations. Zbl 0375.93031
Likhtarnikov, A. L.; Yakubovich, V. A.
13
1976
Factorization of symmetric matrix polynomials. Zbl 0264.15009
Yakubovich, V. A.
13
1970
The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059
Bondarko, V. A.; Yakubovich, V. A.
11
1992
Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037
Yakubovich, V. A.
11
1986
Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425
Lindquist, 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 0283.49010
Yakubovich, V. A.
10
1974
The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030
Likhtarnikov, A. L.; Yakubovich, V. A.
9
1977
The frequency theorem for equations of evolutionary type. Zbl 0405.93025
Likhtarnikov, A. L.; Yakubovich, V. A.
9
1977
Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045
Barabanov, 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 0326.49020
Yakubovich, 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 0137.06303
Yakubovich, V. A.
9
1965
Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046
Likhtarnikov, A. L.; Yakubovich, V. A.
9
1997
The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016
Fradkov, A. L.; Yakubovich, V. A.
8
1979
Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Zbl 0142.36301
Yakubovich, V. A.
8
1965
Oscillatory properties of the solutions of canonical equations. Zbl 0158.09703
Yakubovich, V. A.
8
1964
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.
8
1972
Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013
Yakubovich, V. A.
7
1990
Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030
Matveev, A.; Yakubovich, V.
7
1997
Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061
Yakubovich, V. A.
7
1988
Dissipativity of \(T\)-periodic linear systems. Zbl 1366.93452
Yakubovich, 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 0302.49017
Yakubovich, V. A.
6
1975
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
Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033
Tomberg, Eh. A.; Yakubovich, V. A.
6
1989
Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010
Yakubovich, V. A.
6
1974
Popov’s method and its subsequent development. Zbl 1293.93599
Yakubovich, V. A.
6
2002
Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025
Yakubovich, V. A.
5
1975
Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806
Krein, 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 0158.09904
Yakubovich, V. A.
5
1965
Necessity in quadratic criterion for absolute stability. Zbl 1163.93378
Yakubovich, V. A.
5
2000
Solution of an algebraic problem encountered in control theory. Zbl 0225.93023
Yakubovich, V. A.
5
1970
Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020
Matveev, A. S.; Yakubovich, V. A.
5
1994
Universal regulators in invariance and tracking problems. Zbl 0879.93018
Yakubovich, V. A.
5
1995
The small parameter method for canonical systems with periodic coefficients. Zbl 0095.28705
Yakubovich, V. A.
5
1959
Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005
Yakubovich, 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 0333.49020
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
Solution of certain matrix inequalities encountered in linear control theory. Zbl 0132.06904
Yakubovich, V. A.
4
1964
Periodic and almost periodic limit states of controlled systems with several, in general, discontinuous nonlinearities. Zbl 0183.16003
Yakubovich, V. A.
4
1966
Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032
Proskurnikov, A. V.; Yakubovich, V. A.
4
2003
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
4
1982
Nonconvex global optimization problems in control theory. Zbl 0978.49027
Matveev, A. S.; Yakubovich, V. A.
4
1998
On one problem of Smale. Zbl 0973.34026
Tomberg, Eh. A.; Yakubovich, V. A.
4
2000
Absolute instability of nonlinear control systems. II: Systems with nonstationary nonlinearities. The circle criterion. Zbl 0269.93044
Yakubovich, V. A.
4
1971
Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024
Yakubovich, V. A.
4
1973
Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037
Tomberg, Eh. A.; Yakubovich, V. A.
4
1989
The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053
Proskurnikov, A. V.; Yakubovich, V. A.
3
2008
Synthesis of an adaptive regulator in the problem of invariance of an uncertain discrete linear system. Zbl 1180.93038
Nebos’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 0114.31201
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
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
On the invariance of a control system. Zbl 1075.93019
Proskurnikov, 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 1075.93535
Yakubovich, V. A.
3
2001
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
Optimization and invariance of linear stationary control systems. Zbl 0564.93026
Yakubovich, V. A.
3
1984
Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033
Yakubovich, V. A.
3
1994
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
Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060
Yakubovich, V. A.
3
1994
Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035
Megretskij, A. V.; Yakubovich, V. A.
2
1993
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
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
Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011
Yakubovich, V. A.
2
1991
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
Existence of solutions of linear Hamilton equations with unbounded operator coefficients. Zbl 0202.14903
Derguzov, V. I.; Yakubovich, V. A.
2
1963
Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039
Lindquist, Anders; Yakubovich, Vladimir A.
2
1997
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
Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003
Yakubovich, 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 0080.07002
Yakubovich, V. A.
2
1958
On the dynamic stability of elastic systems. Zbl 0085.18402
Yakubovich, V. A.
2
1958
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
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
Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009
Likhtarnikov, A. L.; Yakubovich, V. A.
1
1977
A contribution to the abstract theory of optimal control. II. Zbl 0412.49016
Yakubovich, V. A.
1
1978
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
Adaptive system for control of autonomous mobile robot. Zbl 0448.93029
Belenkov, 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 0462.49028
Yakubovich, V. A.
1
1980
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
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
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.
7
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.
1
2006
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, 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 1069.45003
Altshuller, D.; Proskurnikov, A. V.; Yakubovich, V. A.
1
2004
The problem of absolute invariance for control systems with delay. Zbl 1064.93016
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.
4
2003
On the invariance of a control system. Zbl 1075.93019
Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich
3
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.
6
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.
5
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.
4
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
Optimal damping of forced oscillations in discrete-time systems by output feedback. Zbl 0886.93025
Lindquist, Anders; Yakubovich, Vladimir A.
1
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
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.
5
1994
Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033
Yakubovich, V. A.
3
1994
Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060
Yakubovich, V. A.
3
1994
Optimal tracking of deterministic harmonic signals with known spectrum. Zbl 0847.93034
Yakubovich, V. A.
1
1994
On M. G. Krein’s work in the theory of linear periodic Hamiltonian systems. Zbl 0852.70010
Yakubovich, V. A.
1
1994
Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035
Megretskij, A. V.; Yakubovich, V. A.
2
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.
24
1992
The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059
Bondarko, V. A.; Yakubovich, V. A.
11
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
Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011
Yakubovich, V. A.
2
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
Nonoscillatority criteria of linear periodic Hamiltonian systems and their applications. Zbl 0782.70014
Yakubovich, V. A.
1
1991
Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013
Yakubovich, V. A.
7
1990
Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033
Tomberg, Eh. A.; Yakubovich, V. A.
6
1989
Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037
Tomberg, Eh. A.; Yakubovich, V. A.
4
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.
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 0632.34057
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.
3
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
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
4
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.
88
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
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
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.
1
1980
Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045
Barabanov, N. E.; Yakubovich, V. A.
9
1979
The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016
Fradkov, 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 0544.93051
Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A.
121
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
A contribution to the abstract theory of optimal control. II. Zbl 0412.49016
Yakubovich, V. A.
1
1978
Adaptive system for control of autonomous mobile robot. Zbl 0448.93029
Belenkov, 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 0369.93031
Yakubovich, V. A.
13
1977
The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030
Likhtarnikov, A. L.; Yakubovich, V. A.
9
1977
The frequency theorem for equations of evolutionary type. Zbl 0405.93025
Likhtarnikov, A. L.; Yakubovich, V. A.
9
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.
1
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
Adaptive suboptimale Steuerung eines linearen dynamischen Objekts bei Vorhandensein einer Retardierung in der Steuerung. Zbl 0324.93024
Yakubovich, V. A.
1
1976
Frequency conditions of existence of two almost periodic solutions in a nonlinear control system. Zbl 0335.93025
Burkin, I. M.; 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.
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 0326.49020
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.
10
1974
Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010
Yakubovich, V. A.
6
1974
A frequency theorem in control theory. Zbl 0271.93017
Yakubovich, V. A.
26
1973
Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024
Yakubovich, 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 0305.93036
Yakubovich, V. A.
15
1973
S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033
Fradkov, A. L.; Yakubovich, V. A.
15
1973
Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024
Yakubovich, V. A.
4
1973
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.
8
1972
Synthesis of optimal controls for linear nonhomogeneous systems in the problem of minimizing the mean value of a quadratic functional. Zbl 0254.49011
Andreev, V. A.; Kazarinov, Yu. F.; Yakubovich, V. A.
1
1972
Über die Synthese optimaler Regelungen in Problemen der Minimierung quadratischer Funktionale. Zbl 0265.49011
Andreev, Valentin A.; Kazarinov, Yurii F.; Yakubovich, Vladimir A.
1
1972
Kritische Frequenzen von Systemen, die in bezug auf die Zeitumkehr invariant sind. Zbl 0284.34048
Shepeleva, R. P.; Yakubovich, V. A.
1
1972
...and 38 more Documents
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
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Cited in 128 Serials

96 Automation and Remote Control
77 Automatica
49 Systems & Control Letters
42 Siberian Mathematical Journal
27 Vestnik St. Petersburg University. Mathematics
23 Differential Equations
20 International Journal of Robust and Nonlinear Control
17 International Journal of Control
17 Journal of Applied Mathematics and Mechanics
15 Doklady Mathematics
13 Journal of Optimization Theory and Applications
13 Linear Algebra and its Applications
13 European Journal of Control
13 Differentsial’nye Uravneniya i Protsessy Upravleniya
12 Journal of Mathematical Analysis and Applications
11 Journal of the Franklin Institute
10 Journal of Computer and Systems Sciences International
9 SIAM Journal on Optimization
8 Journal of Differential Equations
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 MCSS. Mathematics of Control, Signals, and Systems
6 Journal of Global Optimization
6 Nonlinear Dynamics
5 Mathematical Notes
5 Ukrainian Mathematical Journal
5 Applied Mathematics and Computation
5 Applied Mathematics and Optimization
5 Journal of Soviet Mathematics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Computational Mathematics and Modeling
5 Journal of Mathematical Sciences (New York)
4 Journal of Mathematical Physics
4 Chaos, Solitons and Fractals
4 Prikladnaya Matematika i Mekhanika
4 SIAM Journal on Control and Optimization
4 Journal of Dynamics and Differential Equations
4 Journal of Vibration and Control
4 Nonlinear Analysis. Hybrid Systems
4 Nonlinear Analysis. Theory, Methods & Applications
3 Computers & Mathematics with Applications
3 Soviet Applied Mechanics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functional Analysis and its Applications
3 Acta Applicandae Mathematicae
3 Mathematical Programming. Series A. Series B
3 Discrete and Continuous Dynamical Systems
3 Communications in Nonlinear Science and Numerical Simulation
3 Optimization Letters
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Archive for Rational Mechanics and Analysis
2 Discrete Applied Mathematics
2 Integral Equations and Operator Theory
2 Mathematics and Computers in Simulation
2 Multidimensional Systems and Signal Processing
2 International Journal of Adaptive Control and Signal Processing
2 Computational Mathematics and Mathematical Physics
2 European Journal of Operational Research
2 Russian Mathematics
2 Numerical Linear Algebra with Applications
2 Mathematical Problems in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Positivity
2 CEJOR. Central European Journal of Operations Research
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Australian Mathematical Society
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Difference Equations
2 Mathematical Modelling of Natural Phenomena
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Communications in Mathematical Physics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Acta Mathematica Vietnamica
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Advances in Mathematics
1 BIT
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 IEEE Transactions on Automatic Control
1 Information Sciences
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Michigan Mathematical Journal
1 Optimal Control Applications & Methods
1 Cybernetics
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 Neural Networks
1 Journal of Applied Mathematics and Stochastic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Annals of Operations Research
1 Applications of Mathematics
1 Dynamics and Control
...and 28 more Serials
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Cited in 44 Fields

482 Systems theory; control (93-XX)
170 Ordinary differential equations (34-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
73 Operations research, mathematical programming (90-XX)
58 Dynamical systems and ergodic theory (37-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
36 Mechanics of particles and systems (70-XX)
21 Partial differential equations (35-XX)
18 Operator theory (47-XX)
18 Mechanics of deformable solids (74-XX)
18 Biology and other natural sciences (92-XX)
15 Computer science (68-XX)
14 Difference and functional equations (39-XX)
13 Probability theory and stochastic processes (60-XX)
13 Numerical analysis (65-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Information and communication theory, circuits (94-XX)
7 Fluid mechanics (76-XX)
7 Optics, electromagnetic theory (78-XX)
5 Integral equations (45-XX)
4 Functional analysis (46-XX)
3 History and biography (01-XX)
3 Convex and discrete geometry (52-XX)
3 Differential geometry (53-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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