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Danilin Aleksei Rufimovich

Publications in Math-Net.Ru

  1. Asymptotics of the solution of a bisingular optimal distributed control problem in a convex domain with a small parameter multiplying a highest derivative

    Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  732–744
  2. Asymptotic expansion of the solution to an optimal control problem for a linear autonomous system with a terminal convex quality index depending on slow and fast variables

    Izv. IMI UdGU, 61 (2023),  42–56
  3. Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data

    Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  41–53
  4. Asymptotics of a Solution to an Optimal Control Problem with Integral Convex Performance Index, Cheap Control, and Initial Data Perturbations

    Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023),  67–76
  5. Asymptotics for solutions of problem on optimally distributed control in convex domain with small parameter at one of higher derivatives

    Ufimsk. Mat. Zh., 15:2 (2023),  42–54
  6. Asymptotic expansion of the solution of a singularly perturbed optimal control problem with elliptical control constraints

    Avtomat. i Telemekh., 2022, no. 1,  3–21
  7. Asymptotic expansion of solution of one singularly perturbed optimal control problem with convex integral performance index and cheap control

    Sib. Zh. Ind. Mat., 25:3 (2022),  5–13
  8. Asymptotics of a solution to a time-optimal control problem with an unbounded target set in the critical case

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022),  58–73
  9. Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments

    Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  217–231
  10. Asymptotics of a solution to a problem of optimal boundary control with two small cosubordinate parameters. II

    Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  108–119
  11. Asymptotics of the optimal time of transferring a linear control system with zero real parts of the eigenvalues of the matrix at the fast variables to an unbounded target set

    Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  48–61
  12. Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables

    Izv. IMI UdGU, 55 (2020),  33–41
  13. Asymptotics of a Solution to a Singularly Perturbed Time-Optimal Control Problem of Transferring an Object to a Set

    Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  132–146
  14. Asymptotics of a solution to a problem of optimal boundary control with two small cosubordinate parameters

    Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  102–111
  15. Asymptotics of the Solution to a Singularly Perturbed Time-Optimal Control Problem with Two Small Parameters

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  88–101
  16. Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables

    Ufimsk. Mat. Zh., 11:2 (2019),  83–98
  17. Asymptotic expansion of a solution to a singular perturbation optimal control problem with a small coercivity coefficient

    Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  51–61
  18. On a singularly perturbed time-optimal control problem with two small parameters

    Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  76–92
  19. Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain

    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1804–1814
  20. Asymptotics of a solution to a singularly perturbed time-optimal control problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  67–76
  21. The Yekaterinburg heritage of Arlen Mikhailovich Il'in

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017),  42–66
  22. Asymptotics of the solution to the singular problem of optimal distributed control in a convex domain

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  128–142
  23. Asymptotics of the optimal time in a time-optimal control problem with a small parameter

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  61–70
  24. A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  52–60
  25. Asymptotics of the optimal time in a time-optimal control problem with a small parameter

    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  71–80
  26. Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  116–127
  27. Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  76–85
  28. Asymptotics of the optimal time in a time-optimal problem with two small parameters

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  92–99
  29. Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013),  104–112
  30. Asymptotics of a solution to an optimal boundary control problem in a bounded domain

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:3 (2012),  75–82
  31. Asymptotic representation of a solution to a singular perturbation linear time-optimal problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  67–79
  32. Optimal boundary control in a small concave domain

    Ufimsk. Mat. Zh., 4:2 (2012),  87–100
  33. The dependence of the time-optimal control problem for a linear system of the small parameters

    Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14,  46–60
  34. Optimized autophasing of solitons

    Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  288–296
  35. Asymptotics of the optimal time in a singular perturbation linear problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  63–75
  36. Asymptotics of a solution to an optimal boundary control problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  95–107
  37. The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case

    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  55–65
  38. Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case

    Differ. Uravn., 42:11 (2006),  1473–1480
  39. Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

    Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2166–2177
  40. Asymptotic behaviour of solutions of a singular elliptic system in a rectangle

    Mat. Sb., 194:1 (2003),  31–60
  41. Approximation of a singularly perturbed elliptic optimal control problem with geometric constraints on the control

    Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  71–78
  42. Approximation of a singularly perturbed elliptic problem of optimal control

    Mat. Sb., 191:10 (2000),  3–12
  43. On the structure of the solution of a perturbed optimal-time control problem

    Fundam. Prikl. Mat., 4:3 (1998),  905–926
  44. Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity

    Mat. Sb., 189:11 (1998),  27–60
  45. Asymptotic behavior of the solution of the time-optimality problem for a linear system under perturbation of initial data

    Dokl. Akad. Nauk, 350:2 (1996),  155–157
  46. Regularization of nonlinear control problems under perturbations of constraints

    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 8,  34–38
  47. Regularization of the problem of the control of a dynamical system in a Hilbert space under conditions of uncertainty

    Differ. Uravn., 30:1 (1994),  172–174
  48. Regularization of a control problem with constraints on the state

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 2,  24–28
  49. Order-optimal estimates for finite-dimensional approximations of solutions of ill-posed problems

    Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1123–1130
  50. Necessary and sufficient conditions for convergence of approximations of linear ill-posed problems in a Hilbert space

    Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984),  633–639
  51. Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions

    Dokl. Akad. Nauk SSSR, 264:5 (1982),  1094–1096
  52. Necessary and sufficient conditions for the convergence of finite-dimensional approximations of the residual method

    Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  994–997
  53. Conditions for convergence of finite-dimensional approximations of the residual method

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 11,  38–40
  54. The optimality of regularizing algorithms in the solution of ill-posed problems

    Differ. Uravn., 12:7 (1976),  1323–1326

  55. Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)

    Differ. Uravn., 38:8 (2002),  1011–1016

© Steklov Math. Inst. of RAS, 2025