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Author ID: kurina.galina-a Recent zbMATH articles by "Kurina, Galina A."
Published as: Kurina, G. A.; Kurina, Galina; Kurina, Galina A.; Kurina, G.
Documents Indexed: 81 Publications since 1977
Co-Authors: 18 Co-Authors with 40 Joint Publications
350 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 266 times in 149 Documents Cited by Year
Singular perturbations in control problems. Zbl 1126.93301
Dmitriev, M. G.; Kurina, G. A.
64
2006
On linear-quadratic optimal control problems for time-varying descriptor systems. Zbl 1058.49029
Kurina, Galina A.; März, Roswitha
22
2004
Index criteria for differential algebraic equations arising from linear-quadratic optimal control problems. Zbl 1109.49038
Balla, Katalin; Kurina, Galina A.; März, Roswitha
18
2006
Invertibility of nonnegatively Hamiltonian operators in a Hilbert space. Zbl 1032.47013
Kurina, G. A.
18
2001
An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form. Zbl 1017.47011
Azizov, T. Ya.; Kiriakidi, V. K.; Kurina, G. A.
10
2001
Singular perturbations of control problems with equation of state not solved for the derivative (a survey). Zbl 0800.93552
Kurina, G. A.
10
1992
Feedback solutions of optimal control problems with DAE constraints. Zbl 1251.49041
Kurina, Galina A.; März, Roswitha
10
2007
Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients. Zbl 1274.49050
Kurina, G. A.; Nguyen, T. H.
10
2012
On a degenerate optimal control problem and singular perturbations. Zbl 0392.49012
Kurina, G. A.
9
1977
Discrete singularly perturbed control problems (A survey). Zbl 1377.93107
Kurina, G. A.; Dmitriev, M. G.; Naidu, D. S.
9
2017
Reducibility of a class of operator functions to block-diagonal form. Zbl 1130.47302
Kurina, G. A.; Martynenko, G. V.
7
2003
On the reducibility of a nonnegatively Hamiltonian periodic operator function in a real Hilbert space to a block diagonal form. Zbl 1045.47014
Kurina, G. A.; Martynenko, G. V.
6
2001
Invertibility of an operator arising in the theory of the control of linear systems. Zbl 1045.93011
Kurina, G. A.
5
2001
Complete controllability of various-speed singularly perturbed systems. Zbl 0801.49004
Kurina, G. A.
4
1992
Asymptotic analysis of matrix-singularly perturbed linear-quadratic problems of optimal control. Zbl 0922.49024
Kurina, G. A.; Ovezov, Kh. A.
3
1996
The use of a direct scheme for the solution of a linear-quadratic problem of optimal control with singular perturbation. Zbl 0902.49019
Dmitriev, M. G.; Kurina, G. A.; Ovezov, Kh. A.
3
1996
Decomposition of linear-quadratic optimal control problems for two-steps systems. Zbl 1232.49040
Kurina, G. A.; Zhou, Yishao
3
2011
Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters. Zbl 1301.49048
Kurina, G. A.; Smirnova, E. V.
3
2010
Optimal feedback control proportional to the system state can be found for non-causal descriptor systems. (A remark on a paper by P. C. Müller). Zbl 1027.93016
Kurina, Galina A.
3
2002
Zero-order asymptotic solution of a class of singularly perturbed linear-quadratic problems with weak controls in a critical case. Zbl 1427.49041
Kurina, Galina; Hoai, Nguyen Thi
3
2019
Projector approach to the Butuzov-Nefedov algorithm for asymptotic solution of a class of singularly perturbed problems in a critical case. Zbl 1465.34073
Kurina, G. A.; Hoai, N. T.
3
2020
Projector approach to constructing asymptotic solution of initial value problems for singularly perturbed systems in critical case. Zbl 1432.49049
Kurina, Galina
3
2019
Singularly perturbed problems with multi-tempo fast variables. Zbl 1508.93210
Kurina, G. A.; Kalashnikova, M. A.
3
2022
Asymptotic solution of a linear-quadratic problem with discontinuous coefficients and cheap control. Zbl 1410.49040
Kurina, Galina; Hoai, Nguyen Thi
3
2014
On the reducibility of a nonnegatively Hamiltonian real periodic matrix to a block-diagonal form. Zbl 0965.15010
Kurina, G. A.; Martynenko, G. V.
2
1999
Asymptotics of the solution of a linear-quadratic periodic problem with a matrix singular perturbation in the performance index. Zbl 1078.49028
Kurina, G. A.; Shchekunskikh, S. S.
2
2005
Feed-back control for time-varying descriptor systems. Zbl 1068.93530
Kurina, G. A.
2
2000
Linear-quadratic discrete optimal control problems for descriptor systems in Hilbert space. Zbl 1048.49023
Kurina, G. A.
2
2004
On complete controllability of a class of linear singularly perturbed systems. Zbl 0572.93009
Kurina, G. A.
2
1985
Asymptotic solution of a classical singularly perturbed optimal control problem. Zbl 0374.49002
Kurina, G. A.
2
1977
Asymptotic expansion of the solution of a singularly perturbed matrix Riccati equation with an infinitely large initial condition. Zbl 0805.93026
Kurina, G. A.
2
1992
Mean periodic solutions of a linear inhomogeneous first-order differential equation with random coefficients. Zbl 1316.34061
Zadorozhniy, V. G.; Kurina, G. A.
2
2014
Asymptotic expansion of solutions of optimal control problems for discrete weakly controllable systems. Zbl 1066.93033
Kurina, G. A.
2
2002
Direct scheme for the asymptotic solution of linear-quadratic problems with cheap controls of different costs. Zbl 1418.49036
Kalashnikova, Margarita A.; Kurina, G. A.
2
2019
On the operator Riccati equation not solved with respect to the derivative. Zbl 0664.34003
Kurina, G. A.
1
1986
Indefinite approach to the problem of reducibility of a nonnegatively Hamiltonian operator function to a block-triangular form. Zbl 1186.34124
Azizov, T. Ya.; Kiriakidi, V. K.; Kurina, G. A.
1
2001
Asymptotic solution of a nonlinear periodic optimal control problem whose state equation involves a singular matrix perturbation. Zbl 1355.34089
Kurina, G. A.; Shchekunskikh, S. S.
1
2005
On a certain classical singularly perturbed problem of optimal control. Zbl 0516.49004
Kurina, G. A.
1
1983
Feedback control for linear systems that are not solved with respect to the derivative. Zbl 0553.93033
Kurina, G. A.
1
1984
Inverse problem of the variational calculus for differential equations of second order with deviating argument. Zbl 1237.49052
Zadorozhnii, V. G.; Kurina, G. A.
1
2011
On some inverse problems of the calculus of variations for second order differential equations with deviating arguments and partial derivatives. Zbl 1391.35422
Kurina, Galina
1
2014
Formal asymptotics of the solution of a linear-quadratic periodic optimal control problem with matrix singular perturbation in the quality criterion. Zbl 0913.49021
Kurina, G. A.; Shabanova, S. S.
1
1997
On the reducibility of a nonnegative Hamiltonian periodic operator function acting in a real Hilbert space to block-diagonal form. Zbl 1055.47504
Kurina, G. A.; Martynenko, G. V.
1
2000
On the splitting of a two-point boundary value problem arising in optimal control theory. Zbl 0768.49020
Kurina, G. A.
1
1992
Higher approximation in the small parameter method for weakly controlled systems. Zbl 0888.49002
Kurina, G. A.
1
1995
Singular perturbations in the optimal control problems. Zbl 0432.49032
Kurina, G. A.
1
1979
Inverse problems of the calculus of variations for discrete-time systems. Zbl 1355.49033
Kurina, Galina; Zadorozhniy, Vladimir
1
2016
Asymptotic of a feedback optimal control for singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients. Zbl 1322.49054
Kurina, G. A.; Hoai, Nguyen Thi
1
2010
Singularly perturbed problems with multi-tempo fast variables. Zbl 1508.93210
Kurina, G. A.; Kalashnikova, M. A.
3
2022
Projector approach to the Butuzov-Nefedov algorithm for asymptotic solution of a class of singularly perturbed problems in a critical case. Zbl 1465.34073
Kurina, G. A.; Hoai, N. T.
3
2020
Zero-order asymptotic solution of a class of singularly perturbed linear-quadratic problems with weak controls in a critical case. Zbl 1427.49041
Kurina, Galina; Hoai, Nguyen Thi
3
2019
Projector approach to constructing asymptotic solution of initial value problems for singularly perturbed systems in critical case. Zbl 1432.49049
Kurina, Galina
3
2019
Direct scheme for the asymptotic solution of linear-quadratic problems with cheap controls of different costs. Zbl 1418.49036
Kalashnikova, Margarita A.; Kurina, G. A.
2
2019
Discrete singularly perturbed control problems (A survey). Zbl 1377.93107
Kurina, G. A.; Dmitriev, M. G.; Naidu, D. S.
9
2017
Inverse problems of the calculus of variations for discrete-time systems. Zbl 1355.49033
Kurina, Galina; Zadorozhniy, Vladimir
1
2016
Asymptotic solution of a linear-quadratic problem with discontinuous coefficients and cheap control. Zbl 1410.49040
Kurina, Galina; Hoai, Nguyen Thi
3
2014
Mean periodic solutions of a linear inhomogeneous first-order differential equation with random coefficients. Zbl 1316.34061
Zadorozhniy, V. G.; Kurina, G. A.
2
2014
On some inverse problems of the calculus of variations for second order differential equations with deviating arguments and partial derivatives. Zbl 1391.35422
Kurina, Galina
1
2014
Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients. Zbl 1274.49050
Kurina, G. A.; Nguyen, T. H.
10
2012
Decomposition of linear-quadratic optimal control problems for two-steps systems. Zbl 1232.49040
Kurina, G. A.; Zhou, Yishao
3
2011
Inverse problem of the variational calculus for differential equations of second order with deviating argument. Zbl 1237.49052
Zadorozhnii, V. G.; Kurina, G. A.
1
2011
Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters. Zbl 1301.49048
Kurina, G. A.; Smirnova, E. V.
3
2010
Asymptotic of a feedback optimal control for singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients. Zbl 1322.49054
Kurina, G. A.; Hoai, Nguyen Thi
1
2010
Feedback solutions of optimal control problems with DAE constraints. Zbl 1251.49041
Kurina, Galina A.; März, Roswitha
10
2007
Singular perturbations in control problems. Zbl 1126.93301
Dmitriev, M. G.; Kurina, G. A.
64
2006
Index criteria for differential algebraic equations arising from linear-quadratic optimal control problems. Zbl 1109.49038
Balla, Katalin; Kurina, Galina A.; März, Roswitha
18
2006
Asymptotics of the solution of a linear-quadratic periodic problem with a matrix singular perturbation in the performance index. Zbl 1078.49028
Kurina, G. A.; Shchekunskikh, S. S.
2
2005
Asymptotic solution of a nonlinear periodic optimal control problem whose state equation involves a singular matrix perturbation. Zbl 1355.34089
Kurina, G. A.; Shchekunskikh, S. S.
1
2005
On linear-quadratic optimal control problems for time-varying descriptor systems. Zbl 1058.49029
Kurina, Galina A.; März, Roswitha
22
2004
Linear-quadratic discrete optimal control problems for descriptor systems in Hilbert space. Zbl 1048.49023
Kurina, G. A.
2
2004
Reducibility of a class of operator functions to block-diagonal form. Zbl 1130.47302
Kurina, G. A.; Martynenko, G. V.
7
2003
Optimal feedback control proportional to the system state can be found for non-causal descriptor systems. (A remark on a paper by P. C. Müller). Zbl 1027.93016
Kurina, Galina A.
3
2002
Asymptotic expansion of solutions of optimal control problems for discrete weakly controllable systems. Zbl 1066.93033
Kurina, G. A.
2
2002
Invertibility of nonnegatively Hamiltonian operators in a Hilbert space. Zbl 1032.47013
Kurina, G. A.
18
2001
An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form. Zbl 1017.47011
Azizov, T. Ya.; Kiriakidi, V. K.; Kurina, G. A.
10
2001
On the reducibility of a nonnegatively Hamiltonian periodic operator function in a real Hilbert space to a block diagonal form. Zbl 1045.47014
Kurina, G. A.; Martynenko, G. V.
6
2001
Invertibility of an operator arising in the theory of the control of linear systems. Zbl 1045.93011
Kurina, G. A.
5
2001
Indefinite approach to the problem of reducibility of a nonnegatively Hamiltonian operator function to a block-triangular form. Zbl 1186.34124
Azizov, T. Ya.; Kiriakidi, V. K.; Kurina, G. A.
1
2001
Feed-back control for time-varying descriptor systems. Zbl 1068.93530
Kurina, G. A.
2
2000
On the reducibility of a nonnegative Hamiltonian periodic operator function acting in a real Hilbert space to block-diagonal form. Zbl 1055.47504
Kurina, G. A.; Martynenko, G. V.
1
2000
On the reducibility of a nonnegatively Hamiltonian real periodic matrix to a block-diagonal form. Zbl 0965.15010
Kurina, G. A.; Martynenko, G. V.
2
1999
Formal asymptotics of the solution of a linear-quadratic periodic optimal control problem with matrix singular perturbation in the quality criterion. Zbl 0913.49021
Kurina, G. A.; Shabanova, S. S.
1
1997
Asymptotic analysis of matrix-singularly perturbed linear-quadratic problems of optimal control. Zbl 0922.49024
Kurina, G. A.; Ovezov, Kh. A.
3
1996
The use of a direct scheme for the solution of a linear-quadratic problem of optimal control with singular perturbation. Zbl 0902.49019
Dmitriev, M. G.; Kurina, G. A.; Ovezov, Kh. A.
3
1996
Higher approximation in the small parameter method for weakly controlled systems. Zbl 0888.49002
Kurina, G. A.
1
1995
Singular perturbations of control problems with equation of state not solved for the derivative (a survey). Zbl 0800.93552
Kurina, G. A.
10
1992
Complete controllability of various-speed singularly perturbed systems. Zbl 0801.49004
Kurina, G. A.
4
1992
Asymptotic expansion of the solution of a singularly perturbed matrix Riccati equation with an infinitely large initial condition. Zbl 0805.93026
Kurina, G. A.
2
1992
On the splitting of a two-point boundary value problem arising in optimal control theory. Zbl 0768.49020
Kurina, G. A.
1
1992
On the operator Riccati equation not solved with respect to the derivative. Zbl 0664.34003
Kurina, G. A.
1
1986
On complete controllability of a class of linear singularly perturbed systems. Zbl 0572.93009
Kurina, G. A.
2
1985
Feedback control for linear systems that are not solved with respect to the derivative. Zbl 0553.93033
Kurina, G. A.
1
1984
On a certain classical singularly perturbed problem of optimal control. Zbl 0516.49004
Kurina, G. A.
1
1983
Singular perturbations in the optimal control problems. Zbl 0432.49032
Kurina, G. A.
1
1979
On a degenerate optimal control problem and singular perturbations. Zbl 0392.49012
Kurina, G. A.
9
1977
Asymptotic solution of a classical singularly perturbed optimal control problem. Zbl 0374.49002
Kurina, G. A.
2
1977
all top 5

Cited by 146 Authors

19 Kurina, Galina A.
15 Chen, Alatancang
13 Glizer, Valery Y.
9 Danilin, Alekseĭ Rufimovich
9 Huang, Junjie
7 Hoai, Nguyen Thi Xuan
7 März, Roswitha
7 Tsekhan, Ol’ga Borisovna
5 Kalinin, Anatoliĭ Iosifovich
5 Mehrmann, Volker
4 Dmitriev, Mikhail G.
4 Gaitsgory, Vladimir G.
4 Kovrizhnykh, Ol’ga Olegovna
4 Lavrinovich, Leonid Ivanovich
4 Voigt, Matthias
4 Wang, Hua
4 Wu, Deyu
3 Balla, Katalin
3 Chistyakov, Viktor Filimonovich
3 Hou, Guolin
3 Kelis, Oleg
3 Linh, Vu Hoang
3 Rossomakhine, Sergey
3 Shaburov, Aleksandr Aleksandrovich
2 Azizov, Tomas Ya.
2 Bobtsov, Alexey A.
2 Campbell, Stephen LaVern
2 Dijksma, Aad
2 Gerdts, Matthias
2 Grebennikova, Irina Vladimirovna
2 Gridneva, Irina V.
2 Heiland, Jan
2 Jin, Guohai
2 Kalashnikova, Margarita A.
2 Kunkel, Peter
2 Liu, Jie
2 Liu, Wei
2 Makarov, Dmitry A.
2 Naligama, Chamila Anuradkha
2 Reis, Timo
2 Sobolev, Vladimir A.
2 Stefanovski, Jovan D.
2 Tsykunov, A. M.
2 Wang, Yanyan
2 Zhuk, Sergiĭ M.
1 Alwan, Mohamad S.
1 Ashirbaev, Beĭshembek Ybyshevich
1 Baĭbulatova, Guzel’ Damirovna
1 Bardi, Martino
1 Benner, Peter
1 Betts, John T.
1 Borzunov, Sergeĭ V.
1 Castillo, Ismaël
1 Castro, Carlos
1 Cesaroni, Annalisa
1 Chistyakova, Elena Viktorovna
1 Cong, Lanmei
1 Danik, Yulia E.
1 Delgado-Téllez, Marina
1 Dmitruk, Andrei V.
1 Drăgan, Vasile
1 Engwerda, Jacob Christiaan
1 Fan, XiaoYing
1 Faronov, M. V.
1 Favini, Angelo
1 Feigin, Yuri
1 Fridman, Emilia
1 Fuong, Ta Zui
1 Guo, Xiang
1 Hai, Guojun
1 Hodel, A. Scottedward
1 Hu, Chao
1 Huang, Yonggang
1 Ibarra, Efraín
1 Ibort, Alberto
1 Jardón-Kojakhmetov, Hildeberto
1 Jimenez-Lizarraga, Manuel
1 Kadalbajoo, Mohan K.
1 Keller, Alevtina Viktorovna
1 Kokotovic, Petar V.
1 Konkina, Aleksandra Sergeevna
1 Korobitsyna, N. S.
1 Kremlëv, Aleksandr Gur’evich
1 Kühn, Christian
1 Lamour, René
1 Li, Lin
1 Li, Xiaocong
1 Liu, Bin
1 Loi, Le Cong
1 Losse, Philip
1 Manic, Ludmila
1 Manuilovich, N. A.
1 Meherrem, Şahlar F.
1 Mena, Hermann
1 Münch, Arnaud
1 Nguyen Huu Du
1 Nguyen, Thi Hoai Thuong
1 Ni, Bo
1 Nikolaev, N. A.
1 Nurgabyl, Duisebek N.
...and 46 more Authors
all top 5

Cited in 70 Serials

12 Automation and Remote Control
9 Differential Equations
8 Proceedings of the Steklov Institute of Mathematics
6 Journal of Dynamical and Control Systems
5 International Journal of Control
5 SIAM Journal on Control and Optimization
4 MCSS. Mathematics of Control, Signals, and Systems
4 Computational Mathematics and Mathematical Physics
4 Numerical Algebra, Control and Optimization
4 Axioms
3 Applied Mathematics and Computation
3 Journal of Optimization Theory and Applications
3 Mathematical Problems in Engineering
2 Journal of the Franklin Institute
2 Applied Mathematics and Optimization
2 Automatica
2 Journal of Computational and Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Applied Numerical Mathematics
2 Numerical Algorithms
2 Journal of Computer and Systems Sciences International
2 Journal of Mathematical Sciences (New York)
2 Acta Mathematica Sinica. English Series
2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Prikladnaya Matematika i Mekhanika
1 Integral Equations and Operator Theory
1 Journal of Soviet Mathematics
1 Kybernetika
1 Proceedings of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series A
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Science in China. Series A
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Russian Mathematics
1 Algebra Colloquium
1 Turkish Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 European Journal of Control
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Lobachevskii Journal of Mathematics
1 Trudy Instituta Matematiki
1 Matematicheskoe Modelirovanie
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Journal of Applied Mathematics and Computing
1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk
1 Acta Numerica
1 Acta Mechanica Sinica
1 Set-Valued and Variational Analysis
1 Science China. Mathematics
1 Asian Journal of Control
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Journal of Applied Nonlinear Dynamics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Advances in Operator Theory
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
1 Russian Journal of Nonlinear Dynamics

Citations by Year