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 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: 6 Publications Co-Authors: 57 Co-Authors with 104 Joint Publications 941 Co-Co-Authors
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### 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 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 Volkov, Yuriĭ Aleksandrovich 1 Vulikh, Boris Zakharovich 1 Yakubovich, Dmitry V. 1 Zalgaller, Viktor Abramovich 1 Zotov, Yu. K. 1 Zuber, Irina Efremovna
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all top 5

### Fields

 130 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) 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)

### Citations contained in zbMATH Open

139 Publications have been cited 1,064 times in 736 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.
1978
S-procedure in nonlinear control theory. Zbl 0232.93010
Yakubovich, V. A.
1971
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
2004
Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A.
1981
Frequency conditions for the absolute stability of control systems with several nonlinear or linear nonstationary blocks. Zbl 0155.14801
Yakubovich, V. A.
1967
Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009
Yakubovich, V. A.
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.
1975
A frequency theorem in control theory. Zbl 0271.93017
Yakubovich, V. A.
1973
Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024
Yakubovich, V. A.
1973
The solution of certain matrix inequalities in automatic control theory. Zbl 0196.51304
Yakubovich, V. A.
1962
Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066
Yakubovich, V. A.
1988
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.
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.
1973
S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033
Fradkov, A. L.; Yakubovich, V. A.
1973
To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031
Yakubovich, V. A.
1977
Frequency theorem for evolution type equations. Zbl 0375.93031
Likhtarnikov, A. L.; Yakubovich, V. A.
1976
Factorization of symmetric matrix polynomials. Zbl 0264.15009
Yakubovich, V. A.
1970
The frequency theorem for equations of evolutionary type. Zbl 0405.93025
Likhtarnikov, A. L.; Yakubovich, V. A.
1977
Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037
Yakubovich, V. A.
1986
The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059
Bondarko, V. A.; Yakubovich, V. A.
1992
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.
1974
The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030
Likhtarnikov, A. L.; Yakubovich, V. A.
1977
The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016
Fradkov, A. L.; Yakubovich, V. A.
1979
Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425
1999
Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045
Barabanov, N. E.; Yakubovich, V. A.
1979
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.
1965
Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046
Likhtarnikov, A. L.; Yakubovich, V. A.
1997
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.
1975
Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Zbl 0142.36301
Yakubovich, V. A.
1965
Oscillatory properties of the solutions of canonical equations. Zbl 0158.09703
Yakubovich, V. A.
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.
1972
Dissipativity of $$T$$-periodic linear systems. Zbl 1366.93452
Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V.
2007
Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030
Matveev, A.; Yakubovich, V.
1997
Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061
Yakubovich, V. A.
1988
Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013
Yakubovich, V. A.
1990
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.
1975
Popov’s method and its subsequent development. Zbl 1293.93599
Yakubovich, V. A.
2002
Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010
Yakubovich, V. A.
1974
Mathematical analysis of the suspension bridges based on the example of the Tackoma bridge. Zbl 0176.25502
Pittel’, B. G.; Yakubovich, V. A.
1969
Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033
Tomberg, Eh. A.; Yakubovich, V. A.
1989
The small parameter method for canonical systems with periodic coefficients. Zbl 0095.28705
Yakubovich, V. A.
1959
Hamiltonian systems of linear differential equations with periodic coefficients. Zbl 0121.40806
Krein, M. G.; Yakubovich, V. A.
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.
1965
Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020
Matveev, A. S.; Yakubovich, V. A.
1994
Universal regulators in invariance and tracking problems. Zbl 0879.93018
Yakubovich, V. A.
1995
Nonconvex global optimization problems in control theory. Zbl 0978.49027
Matveev, A. S.; Yakubovich, V. A.
1998
Necessity in quadratic criterion for absolute stability. Zbl 1163.93378
Yakubovich, V. A.
2000
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
1982
Solution of an algebraic problem encountered in control theory. Zbl 0225.93023
Yakubovich, V. A.
1970
Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025
Yakubovich, V. A.
1975
Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037
Tomberg, Eh. A.; Yakubovich, V. A.
1989
Solution of certain matrix inequalities encountered in linear control theory. Zbl 0132.06904
Yakubovich, V. A.
1964
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.
1976
Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005
Yakubovich, V. A.
1977
On one problem of Smale. Zbl 0973.34026
Tomberg, Eh. A.; Yakubovich, V. A.
2000
Absolute instability of nonlinear control systems. II: Systems with nonstationary nonlinearities. The circle criterion. Zbl 0269.93044
Yakubovich, V. A.
1971
Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024
Yakubovich, V. A.
1973
Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032
Proskurnikov, A. V.; Yakubovich, V. A.
2003
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.
1976
Periodic and almost periodic limit states of controlled systems with several, in general, discontinuous nonlinearities. Zbl 0183.16003
Yakubovich, V. A.
1966
Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001
Yakubovich, V. A.
1985
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.
2009
Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033
Yakubovich, V. A.
1994
The structure of the function space of complex canonical equations with periodic coefficients. Zbl 0114.31201
Yakubovich, V. A.
1961
The conditions for absolute stability of a control system with a hysteresis-type nonlinearity. Zbl 0131.31703
Yakubovich, V. A.
1963
Absolute stability of nonlinear control systems in critical cases. II. Zbl 0137.28901
Yakubovich, V. A.
1963
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.
2006
On the invariance of a control system. Zbl 1075.93019
Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich
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.
2001
Optimization and invariance of linear stationary control systems. Zbl 0564.93026
Yakubovich, V. A.
1984
Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044
Yakubovich, V. A.
1981
A turnpike theorem in a continuous optimization problem. Zbl 0524.49028
Gusev, D. E.; Yakubovich, V. A.
1983
On synthesis of optimal controls in a linear differential game with quadratic payoff. Zbl 0227.90061
Yakubovich, V. A.
1970
Absolute instability of nonlinear control systems. I: General frequency criteria. Zbl 0269.93043
Yakubovich, V. A.
1970
The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053
Proskurnikov, A. V.; Yakubovich, V. A.
2008
Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060
Yakubovich, V. A.
1994
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.
1958
On the dynamic stability of elastic systems. Zbl 0085.18402
Yakubovich, V. A.
1958
Linear control systems with a reference model. Zbl 1152.93028
Proskurnikov, A. V.; Yakubovich, V. A.
2007
Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039
1997
Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012
Yakubovich, V. A.
1978
Frequency theorems and a stabilization theorem for unbounded operators. Zbl 0426.93046
Likhtarnikov, A. L.; Yakubovich, V. A.
1978
Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058
Lindkvist, A.; Yakubovich, V. A.
1998
A quadratic criterion for absolute stability. Zbl 0981.93059
Yakubovich, V. A.
1998
Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035
Megretskij, A. V.; Yakubovich, V. A.
1993
Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011
Yakubovich, V. A.
1991
On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037
Yakubovich, V. A.
1982
Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029
Gusev, D. E.; Yakubovich, V. A.
1983
Existence of solutions of linear Hamilton equations with unbounded operator coefficients. Zbl 0202.14903
Derguzov, V. I.; Yakubovich, V. A.
1963
Adaptive systems with multistep goal conditions. Zbl 0211.18702
Yakubovich, V. A.
1968
Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003
Yakubovich, V. A.; Yakubovich, E. D.
1993
Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003
Yakubovich, V. A.; Starzhinskij, V. M.
1987
On a class of non-linear differential equations. Zbl 0079.14102
Yakubovich, V. A.
1957
A frequency theorem for periodic systems. Zbl 0608.93041
Yakubovich, V. A.
1986
Maximum principle in a problem of regulator optimization. Zbl 0462.49028
Yakubovich, V. A.
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.
1981
On the boundedness and stability in the whole of the solutions of some non-linear differential equations. Zbl 0085.30702
Yakubovich, V. A.
1958
On non-linear differential equations of automatic control systems with one control unit. Zbl 0093.09501
Yakubovich, V. A.
1960
Absolute stability of nonlinear control systems in critical cases. I. Zbl 0118.08403
Yakubovich, V. A.
1963
The absolute stability of nonlinear control systems in critical cases. III. Zbl 0139.04603
Yakubovich, V. A.
1964
Stabilization of a certain class of uniformly controllable systems. Zbl 1264.93028
Zuber, I. E.; Yakubovich, V. A.; Gelig, A. Kh.
2012
Synthesis of an adaptive regulator in the problem of invariance of an uncertain discrete linear system. Zbl 1180.93038
Nebos&rsquo;ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A.
2009
Synthesis of an adaptive regulator in the stabilization of an uncertain discrete linear system. Zbl 1181.93073
Nebos&rsquo;ko, E. Yu.; Proskurnikov, A. V.; Yakubovich, V. A.
2009
The problem of absolute invariance of a linear discrete-time control system. Zbl 1215.93053
Proskurnikov, A. V.; Yakubovich, V. A.
2008
Optimal tracking of stochastic signals with unknown spectral density in discrete-time control systems. Zbl 1164.93008
Proskurnikov, A. V.; Yakubovich, V. A.
2008
Dissipativity of $$T$$-periodic linear systems. Zbl 1366.93452
Yakubovich, Vladimir A.; Fradkov, Alexander L.; Hill, David J.; Proskurnikov, Anton V.
2007
Linear control systems with a reference model. Zbl 1152.93028
Proskurnikov, A. V.; Yakubovich, V. A.
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.
2006
Universal regulators for optimal tracking of polyharmonic signals in systems with delays. Zbl 1155.93412
Proskurnikov, A. V.; Yakubovich, V. A.
2006
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
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.
2004
The problem of absolute invariance for control systems with delay. Zbl 1064.93016
Proskurnikov, A. V.; Yakubovich, V. A.
2004
Approximate solution to the problem of the invariance of a control system. Zbl 1219.93032
Proskurnikov, A. V.; Yakubovich, V. A.
2003
On the invariance of a control system. Zbl 1075.93019
Proskurnikov, Anton V.; Yakubovich, Vladimir Andreevich
2003
Nonconvex global optimization problems: Constrained infinite-horizon linear-quadratic control problems for discrete systems. Zbl 1161.49311
Yakubovich, V. A.
2003
Popov’s method and its subsequent development. Zbl 1293.93599
Yakubovich, V. A.
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.
2001
Necessity in quadratic criterion for absolute stability. Zbl 1163.93378
Yakubovich, V. A.
2000
On one problem of Smale. Zbl 0973.34026
Tomberg, Eh. A.; Yakubovich, V. A.
2000
Universal regulators for optimal tracking in discrete-time systems affected by harmonic disturbances. Zbl 1136.93425
1999
Nonconvex global optimization problems in control theory. Zbl 0978.49027
Matveev, A. S.; Yakubovich, V. A.
1998
Universal controllers for the optimal tracking of signals in linear discrete systems. Zbl 0958.93058
Lindkvist, A.; Yakubovich, V. A.
1998
A quadratic criterion for absolute stability. Zbl 0981.93059
Yakubovich, V. A.
1998
Dichotomy and absolute stability of undetermined nonlinear systems in Hilbert spaces. Zbl 0909.34046
Likhtarnikov, A. L.; Yakubovich, V. A.
1997
Nonconvex problems of global optimization: Linear-quadratic control problems with quadratic constraints. Zbl 0917.49030
Matveev, A.; Yakubovich, V.
1997
Optimal damping of forced oscillations in discrete-time systems. Zbl 0938.93039
1997
Optimal damping of forced oscillations in discrete-time systems by output feedback. Zbl 0886.93025
1997
Universal controllers for optimal damping of forced oscillations in linear discrete systems. Zbl 0960.93035
Lindkvist, A.; Yakubovich, V. A.
1997
Optimal tracing of harmonic signals in linear systems with noise in measurements. Zbl 0971.93036
Shiryaev, A. S.; Yakubovich, V. A.
1997
Universal regulators in invariance and tracking problems. Zbl 0879.93018
Yakubovich, V. A.
1995
Abstract optimal control theory. (Abstraktnaya teoriya optimal’nogo upravleniya.) Zbl 0886.49020
Matveev, A. S.; Yakubovich, V. A.
1994
Optimal damping of forced oscillations based on prescribed system output. Zbl 0847.93033
Yakubovich, V. A.
1994
Absolute stability of nonlinear discrete systems with several quadratic constraints. Zbl 0837.93060
Yakubovich, V. A.
1994
On M. G. Krein’s work in the theory of linear periodic Hamiltonian systems. Zbl 0852.70010
Yakubovich, V. A.
1994
Optimal tracking of deterministic harmonic signals with known spectrum. Zbl 0847.93034
Yakubovich, V. A.
1994
Singular stationary non-homogeneous linear-quadratic optimal control. Zbl 0796.49035
Megretskij, A. V.; Yakubovich, V. A.
1993
Optimum stabilization of control systems under constraints on the output variable. Zbl 0838.49003
Yakubovich, V. A.; Yakubovich, E. D.
1993
Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints. Zbl 0776.49009
Yakubovich, V. A.
1992
The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059
Bondarko, V. A.; Yakubovich, V. A.
1992
A stochastic linear-quadratic optimal control problem for stationary systems with quadratic constraints. Zbl 0839.93080
Dokuchaev, N. G.; Yakubovich, V. A.
1992
Nonoscillation of linear periodic Hamilton equations, and related topics. Zbl 0792.70011
Yakubovich, V. A.
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.
1991
Nonoscillatority criteria of linear periodic Hamiltonian systems and their applications. Zbl 0782.70014
Yakubovich, V. A.
1991
Linear-quadratic optimization problem and the frequency theorem for periodic systems. II. Zbl 0741.49013
Yakubovich, V. A.
1990
Conditions for auto-oscillations in nonlinear systems. Zbl 0717.34033
Tomberg, Eh. A.; Yakubovich, V. A.
1989
Conditions of auto-oscillations in nonlinear systems. Zbl 0685.34037
Tomberg, Eh. A.; Yakubovich, V. A.
1989
Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part. Zbl 0664.93066
Yakubovich, V. A.
1988
Absolute stability of nonlinear systems with a periodically nonstationary linear part. Zbl 0662.93061
Yakubovich, V. A.
1988
Orbital stability of periodic Laplace motions in the three body problem. Zbl 0652.70020
Polunin, I. A.; Yakubovich, V. A.
1988
Parametric resonance in linear systems. (Parametricheskij rezonans v linejnykh sistemakh). Zbl 0623.34003
Yakubovich, V. A.; Starzhinskij, V. M.
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.
1987
Linearly quadratic optimization problem and a frequency theorem for periodic systems. I. Zbl 0648.93037
Yakubovich, V. A.
1986
A frequency theorem for periodic systems. Zbl 0608.93041
Yakubovich, V. A.
1986
Singular problem in optimal control of linear stationary system with quadratic functional. Zbl 0602.49001
Yakubovich, V. A.
1985
Optimization and invariance of linear stationary control systems. Zbl 0564.93026
Yakubovich, V. A.
1984
Sufficient conditions in optimal control problems. Zbl 0531.49015
Yakubovich, V. A.
1984
A turnpike theorem in a continuous optimization problem. Zbl 0524.49028
Gusev, D. E.; Yakubovich, V. A.
1983
Turnpike theorem in the problem of continuous optimization with phase restrictions. Zbl 0524.49029
Gusev, D. E.; Yakubovich, V. A.
1983
Conditions of semiboundedness of quadratic functionals on Hardy spaces. Zbl 0493.30029
Arov, D. Z.; Yakubovich, V. A.
1982
On an abstract theory of absolute stability of nonlinear systems. Zbl 0494.93037
Yakubovich, V. A.
1982
The maximum principle for stochastic differential equations with determined control. Zbl 0509.93067
Dokuchaev, N. G.; Yakubovich, V. A.
1982
Fomin, V. N.; Fradkov, A. L.; Yakubovich, V. A.
1981
Conditions of semiboundedness of a quadratic functional on a subspace of Hilbert space. Zbl 0481.93044
Yakubovich, V. A.
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.
1981
Maximum principle in a problem of regulator optimization. Zbl 0462.49028
Yakubovich, V. A.
1980
On the determination of optimal strategies in linear discrete games with quadratic payoff functional. Zbl 0437.90114
Antonov, V. G.; Yakubovich, V. A.
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.
1980
The s-procedure and a duality relations in nonconvex problems of quadratic programming. Zbl 0423.49016
Fradkov, A. L.; Yakubovich, V. A.
1979
Absolute stability of control systems with one hysteresis nonlinearity. Zbl 0458.93045
Barabanov, N. E.; Yakubovich, V. A.
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.
1978
Zur abstrakten Theorie der optimalen Steuerung. II. Zbl 0394.49012
Yakubovich, V. A.
1978
Frequency theorems and a stabilization theorem for unbounded operators. Zbl 0426.93046
Likhtarnikov, A. L.; Yakubovich, V. A.
1978
A contribution to the abstract theory of optimal control. II. Zbl 0412.49016
Yakubovich, V. A.
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.
1978
To an abstract theory of absolute stability of nonlinear systems. Zbl 0369.93031
Yakubovich, V. A.
1977
The frequency theorem for equations of evolutionary type. Zbl 0405.93025
Likhtarnikov, A. L.; Yakubovich, V. A.
1977
The frequency theorem for continuous one-parameter semigroups. Zbl 0387.93030
Likhtarnikov, A. L.; Yakubovich, V. A.
1977
Zur abstrakten Theorie der optimalen Steuerung. I. Zbl 0354.49005
Yakubovich, V. A.
1977
Ein Frequenzsatz für stetige einparametrige Halbgruppen. Zbl 0362.93009
Likhtarnikov, A. L.; Yakubovich, V. A.
1977
Frequency theorem for evolution type equations. Zbl 0375.93031
Likhtarnikov, A. L.; Yakubovich, V. A.
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.
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.
1976
Adaptive suboptimale Steuerung eines linearen dynamischen Objekts bei Vorhandensein einer Retardierung in der Steuerung. Zbl 0324.93024
Yakubovich, V. A.
1976
Frequency conditions of existence of two almost periodic solutions in a nonlinear control system. Zbl 0335.93025
Burkin, I. M.; Yakubovich, V. A.
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.
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.
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.
1975
Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity. Zbl 0342.93025
Yakubovich, V. A.
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.
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.
1974
Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component. Zbl 0287.93010
Yakubovich, V. A.
1974
A frequency theorem in control theory. Zbl 0271.93017
Yakubovich, V. A.
1973
Frequenzsatz in der Theorie der Steuerung. Zbl 0257.93024
Yakubovich, V. A.
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.
1973
S-procedure and duality relation in nonconvex quadratic extremisation problems. Zbl 0259.93033
Fradkov, A. L.; Yakubovich, V. A.
1973
Frequenzbedingungen der Eigenschwingungen in nichtlinearen Systemen mit einer stationären Nichtlinearität. Zbl 0283.93024
Yakubovich, V. A.
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.
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.
1972
Über die Synthese optimaler Regelungen in Problemen der Minimierung quadratischer Funktionale. Zbl 0265.49011
Andreev, Valentin A.; Kazarinov, Yurii F.; Yakubovich, Vladimir A.
1972
Kritische Frequenzen von Systemen, die in bezug auf die Zeitumkehr invariant sind. Zbl 0284.34048
Shepeleva, R. P.; Yakubovich, V. A.
1972
...and 39 more Documents
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### Cited by 806 Authors

 35 Leonov, Gennadiĭ Alekseevich 31 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 Reitmann, Volker 12 Savkin, Andrey V. 11 Balandin, Dmitriĭ Vladimirovich 11 Sokolov, Victor F. 11 Zuber, Irina Efremovna 10 Kuznetsov, Nikolay Vladimirovich 9 Guiver, Chris 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 Anikushin, Mikhaĭl Mikhaĭlovich 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. 6 Xia, Yong 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 Mokaev, R. N. 5 Shiriaev, Anton Stanislavovich 5 Smirnova, Vera Borisovna 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 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 Serovaĭskiĭ, Simon Ya. 4 Sheu, Ruey-Lin 4 Tempo, Roberto 4 Utina, N. V. 4 Wang, Shu 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 Du, Baozhu 3 Duan, Zhisheng 3 Emel’yanov, Stanislav Vasil’evich 3 Famularo, Domenico 3 Flores-Bazán, Fabián 3 Franzè, Giuseppe 3 Fu, Minyue 3 Ionescu, Vlad 3 Jiang, Rujun 3 Kalinichenko, Dina Yu. 3 Kılınç Karzan, Fatma 3 Kiseleva, M. A. 3 Lanzon, Alexander 3 Li, Guoyin 3 Maltseva, Anastasia A. 3 Martynyuk, Anatoliĭ Andriĭovych 3 Megretski, Alexandre 3 Nguyen, Huu Quang 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. ...and 706 more Authors
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### Cited in 131 Serials

 96 Automation and Remote Control 77 Automatica 50 Systems & Control Letters 42 Siberian Mathematical Journal 29 Vestnik St. Petersburg University. Mathematics 23 Differential Equations 20 International Journal of Robust and Nonlinear Control 18 International Journal of Control 17 Journal of Applied Mathematics and Mechanics 15 Doklady Mathematics 14 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 the Franklin Institute 12 Journal of Mathematical Analysis and Applications 11 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 Mathematical Programming. Series A. Series B 6 Journal of Mathematical Sciences (New York) 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 International Journal of Systems Science. Principles and Applications of Systems and Integration 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 Discrete and Continuous Dynamical Systems 3 Communications in Nonlinear Science and Numerical Simulation 3 Optimization Letters 2 Archive for Rational Mechanics and Analysis 2 Discrete Applied Mathematics 2 Integral Equations and Operator Theory 2 Mathematics and Computers in Simulation 2 Physica D 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 Journal of Industrial and Management Optimization 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 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 ...and 31 more Serials
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### Cited in 44 Fields

 491 Systems theory; control (93-XX) 172 Ordinary differential equations (34-XX) 79 Operations research, mathematical programming (90-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 60 Dynamical systems and ergodic theory (37-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 38 Mechanics of particles and systems (70-XX) 22 Partial differential equations (35-XX) 19 Operator theory (47-XX) 19 Biology and other natural sciences (92-XX) 18 Mechanics of deformable solids (74-XX) 16 Computer science (68-XX) 14 Difference and functional equations (39-XX) 14 Numerical analysis (65-XX) 13 Probability theory and stochastic processes (60-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 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Convex and discrete geometry (52-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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