Kurina Galina Alekseevna

Publications in Math-Net.Ru

1. New algorithm for constructing asymptotic solutions of singularly perturbed optimal control problems with intersecting trajectories of the degenerate state equation
   
   Mat. Zametki, 116:2 (2024),  303–321
2. Projector approach to the Butuzov–Nefedov algorithm for finding asymptotic solutions for a class of discrete problems with a small step
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024),  28–40
3. A new algorithm of constructing asymptotic solution of singularly perturbed optimal control problems with intersecting trajectories of degenerate state equation
   
   Applied Mathematics & Physics, 55:4 (2023),  313–329
4. 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
5. Singularly perturbed problems with multi-tempo fast variables
   
   Avtomat. i Telemekh., 2022, no. 11,  3–61
6. 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
7. Asymptotic solution of linear-quadratic problems with cheap controls of different costs
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  124–139
8. Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012),  628–652
9. Inverse Problem of the Variational Calculus for Differential Equations of Second Order with Deviating Argument
   
   Mat. Zametki, 90:2 (2011),  231–241
10. 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
11. Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters
    
    CMFD, 34 (2009),  63–99
12. Singular perturbations in control problems
    
    Avtomat. i Telemekh., 2006, no. 1,  3–51
13. Asymptotic Solution of a Nonlinear Periodic Optimal Control Problem Whose State Equation Involves a Singular Matrix Perturbation
    
    Differ. Uravn., 41:10 (2005),  1332–1344
14. 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
15. 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
16. Reducibility of a Class of Operator Functions to Block-Diagonal Form
    
    Mat. Zametki, 74:5 (2003),  789–792
17. Invertibility of Nonnegatively Hamiltonian Operators in a Hilbert Space
    
    Differ. Uravn., 37:6 (2001),  839–841
18. 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
19. 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
20. Invertibility of an Operator Appearing in the Control Theory for Linear Systems
    
    Mat. Zametki, 70:2 (2001),  230–236
21. On the reducibility of a nonnegatively Hamiltonian real periodic matrix to block-diagonal form
    
    Mat. Zametki, 66:5 (1999),  688–695
22. Asymptotic analysis of matrix-singularly perturbed linear-quadratic optimal control problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 12,  63–74
23. Higher approximations of the small parameter method for weakly controlled systems
    
    Dokl. Akad. Nauk, 343:1 (1995),  28–32
24. On behavior of attainable sets of linear systems singularly perturbed by a matrix
    
    Trudy Mat. Inst. Steklov., 211 (1995),  316–325
25. Sufficient conditions for the optimality of control for discrete descriptor systems
    
    Avtomat. i Telemekh., 1993, no. 8,  52–55
26. Splitting of linear systems that are not solved with respect to the derivative
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 4,  26–33
27. Complete controllability of various-speed singularly perturbed systems
    
    Mat. Zametki, 52:4 (1992),  56–61
28. Asymptotic behavior of the solution of the matrix-singularly perturbed Riccati equation
    
    Dokl. Akad. Nauk SSSR, 301:1 (1988),  26–30
29. The Riccati operator equation that is not solved with respect to the derivative
    
    Differ. Uravn., 22:10 (1986),  1826–1829
30. Linear Hamiltonian systems that are not solved with respect to the derivative
    
    Differ. Uravn., 22:2 (1986),  193–198
31. Complete controllability of a class of linear singularly perturbed systems
    
    Differ. Uravn., 21:8 (1985),  1444–1446
32. Feedback control for linear systems unresolvable for the derivative
    
    Avtomat. i Telemekh., 1984, no. 6,  37–41
33. On a certain classical singularly perturbed problem of optimal control
    
    Differ. Uravn., 19:4 (1983),  710–711
34. 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
35. On a degenerate optimal control problem and singular perturbations
    
    Dokl. Akad. Nauk SSSR, 237:3 (1977),  517–520
36. Asymptotic solution of a classical singularly perturbed optimal control problem
    
    Dokl. Akad. Nauk SSSR, 234:3 (1977),  532–535