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Kurina, Galina Alekseevna
Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 34

Number of views:
This page:2493
Abstract pages:8786
Full texts:3413
References:831
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person18351
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/207371

Publications in Math-Net.Ru Citations
2024
1. G. A. Kurina, N. T. Hoai, “New algorithm for constructing asymptotic solutions of singularly perturbed optimal control problems with intersecting trajectories of the degenerate state equation”, Math. Notes, 116:2 (2024), 303–321  mathnet
2023
2. G. A. Kurina, N. T. Hoai, “Zero-Order Asymptotics for the Solution of One Type of Singularly Perturbed Linear–Quadratic Control Problems in the Critical Case”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023),  127–142  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S154–S169  isi  scopus
2022
3. G. A. Kurina, M. A. Kalashnikova, “Singularly perturbed problems with multi-tempo fast variables”, Avtomat. i Telemekh., 2022, no. 11,  3–61  mathnet; Autom. Remote Control, 83:11 (2022), 1679–1723 9
2020
4. G. A. Kurina, N. T. Hoai, “Projector approach to the Butuzov–Nefedov algorithm for asymptotic solution of a class of singularly perturbed problems in a critical case”, Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2073–2084  mathnet  elib; Comput. Math. Math. Phys., 60:12 (2020), 2007–2018  isi  scopus 6
2016
5. M. A. Kalashnikova, G. A. Kurina, “Asymptotic solution of linear-quadratic problems with cheap controls of different costs”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  124–139  mathnet  mathscinet  elib 3
2012
6. G. A. Kurina, Nguyên Thị Hoài, “Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012),  628–652  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:4 (2012), 524–547  isi  elib  scopus 11
2011
7. V. G. Zadorozhniy, G. A. Kurina, “Inverse Problem of the Variational Calculus for Differential Equations of Second Order with Deviating Argument”, Mat. Zametki, 90:2 (2011),  231–241  mathnet  mathscinet; Math. Notes, 90:2 (2011), 218–226  isi  scopus 2
2010
8. G. A. Kurina, Nguyên Thi Hoài, “On a zero order approximation of an asymptotic solution for a singularly perturbed linear-quadratic control problem with discontinuous coefficients”, Model. Anal. Inform. Sist., 17:1 (2010),  93–116  mathnet 2
2009
9. G. A. Kurina, E. V. Smirnova, “Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters”, CMFD, 34 (2009),  63–99  mathnet  mathscinet; Journal of Mathematical Sciences, 170:2 (2010), 192–228  scopus 3
2006
10. M. G. Dmitriev, G. A. Kurina, “Singular perturbations in control problems”, Avtomat. i Telemekh., 2006, no. 1,  3–51  mathnet  mathscinet  zmath  elib; Autom. Remote Control, 67:1 (2006), 1–43  elib  scopus 185
2005
11. G. A. Kurina, S. S. Shchekunskikh, “Asymptotic Solution of a Nonlinear Periodic Optimal Control Problem Whose State Equation Involves a Singular Matrix Perturbation”, Differ. Uravn., 41:10 (2005),  1332–1344  mathnet  mathscinet; Differ. Equ., 41:10 (2005), 1403–1416 1
12. G. A. Kurina, S. S. Shchekunskikh, “Asymptotics of the solution to a liner-quadratic periodic problem with a singular matrix perturbation in the performance index”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005),  603–616  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:4 (2005), 579–592 3
2003
13. G. A. Kurina, “Solvability of a boundary value problem for a nonnegative Hamiltonian system in a Hilbert space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7,  45–47  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:7 (2003), 45–47
14. G. A. Kurina, G. V. Martynenko, “Reducibility of a Class of Operator Functions to Block-Diagonal Form”, Mat. Zametki, 74:5 (2003),  789–792  mathnet  mathscinet  zmath; Math. Notes, 74:5 (2003), 744–748  isi 7
2001
15. G. A. Kurina, “Invertibility of Nonnegatively Hamiltonian Operators in a Hilbert Space”, Differ. Uravn., 37:6 (2001),  839–841  mathnet  mathscinet; Differ. Equ., 37:6 (2001), 880–882 23
16. G. A. Kurina, G. V. Martynenko, “On the Reducibility of a Nonnegatively Hamiltonian Periodic Operator Function in a Real Hilbert Space to a Block Diagonal Form”, Differ. Uravn., 37:2 (2001),  212–217  mathnet  mathscinet; Differ. Equ., 37:2 (2001), 227–233 7
17. T. Ya. Azizov, V. K. Kiriakidi, G. A. Kurina, “An Indefinite Approach to the Reduction of a Nonnegative Hamiltonian Operator Function to a Block Diagonal Form”, Funktsional. Anal. i Prilozhen., 35:3 (2001),  73–75  mathnet  mathscinet  zmath; Funct. Anal. Appl., 35:3 (2001), 220–221  isi  scopus 14
18. G. A. Kurina, “Invertibility of an Operator Appearing in the Control Theory for Linear Systems”, Mat. Zametki, 70:2 (2001),  230–236  mathnet  mathscinet  zmath; Math. Notes, 70:2 (2001), 206–212  isi 10
1999
19. G. A. Kurina, G. V. Martynenko, “On the reducibility of a nonnegatively Hamiltonian real periodic matrix to block-diagonal form”, Mat. Zametki, 66:5 (1999),  688–695  mathnet  mathscinet  zmath; Math. Notes, 66:5 (1999), 570–576  isi 6
1996
20. G. A. Kurina, Kh. A. Ovezov, “Asymptotic analysis of matrix-singularly perturbed linear-quadratic optimal control problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 12,  63–74  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:12 (1996), 60–71 2
1995
21. G. A. Kurina, “Higher approximations of the small parameter method for weakly controlled systems”, Dokl. Akad. Nauk, 343:1 (1995),  28–32  mathnet  mathscinet  zmath 1
22. G. A. Kurina, “On behavior of attainable sets of linear systems singularly perturbed by a matrix”, Trudy Mat. Inst. Steklov., 211 (1995),  316–325  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 211 (1995), 284–294 1
1993
23. G. A. Kurina, “Sufficient conditions for the optimality of control for discrete descriptor systems”, Avtomat. i Telemekh., 1993, no. 8,  52–55  mathnet  mathscinet  zmath; Autom. Remote Control, 54:8 (1993), 1223–1226
1992
24. G. A. Kurina, “Splitting of linear systems that are not solved with respect to the derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 4,  26–33  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:4 (1992), 24–31 1
25. G. A. Kurina, “Complete controllability of various-speed singularly perturbed systems”, Mat. Zametki, 52:4 (1992),  56–61  mathnet  mathscinet  zmath; Math. Notes, 52:4 (1992), 1029–1033  isi 11
1988
26. G. A. Kurina, “Asymptotic behavior of the solution of the matrix-singularly perturbed Riccati equation”, Dokl. Akad. Nauk SSSR, 301:1 (1988),  26–30  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 18–22 1
1986
27. G. A. Kurina, “The Riccati operator equation that is not solved with respect to the derivative”, Differ. Uravn., 22:10 (1986),  1826–1829  mathnet  mathscinet  zmath
28. G. A. Kurina, “Linear Hamiltonian systems that are not solved with respect to the derivative”, Differ. Uravn., 22:2 (1986),  193–198  mathnet  mathscinet 1
1985
29. G. A. Kurina, “Complete controllability of a class of linear singularly perturbed systems”, Differ. Uravn., 21:8 (1985),  1444–1446  mathnet  mathscinet  zmath 1
1984
30. G. A. Kurina, “Feedback control for linear systems unresolvable for the derivative”, Avtomat. i Telemekh., 1984, no. 6,  37–41  mathnet  mathscinet  zmath; Autom. Remote Control, 45:6 (1984), 713–717
1983
31. G. A. Kurina, “On a certain classical singularly perturbed problem of optimal control”, Differ. Uravn., 19:4 (1983),  710–711  mathnet  zmath
1979
32. G. A. Kurina, “Application of the method of tents to an optimal control problem for a differential equation with a singular matrix multiplying the derivative”, Differ. Uravn., 15:4 (1979),  600–608  mathnet  mathscinet  zmath 1
1977
33. G. A. Kurina, “On a degenerate optimal control problem and singular perturbations”, Dokl. Akad. Nauk SSSR, 237:3 (1977),  517–520  mathnet  mathscinet  zmath 1
34. G. A. Kurina, “Asymptotic solution of a classical singularly perturbed optimal control problem”, Dokl. Akad. Nauk SSSR, 234:3 (1977),  532–535  mathnet  mathscinet  zmath

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