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Sumin Mikhail Iosifovich

Publications in Math-Net.Ru

  1. The perturbation method and a regularization of the Lagrange multiplier rule in convex problems for constrained extremum

    Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024),  203–221
  2. Regularization of classical optimality conditions
    in optimization problems of linear distributed Volterra-type systems with pointwise state constraints

    Russian Universities Reports. Mathematics, 29:148 (2024),  455–484
  3. Perturbation method and regularization of the Lagrange principle in nonlinear constrained optimization problems

    Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2312–2331
  4. On the role of Lagrange multipliers and duality in ill-posed problems for constrained extremum. To the 60th anniversary of the Tikhonov regularization method

    Russian Universities Reports. Mathematics, 28:144 (2023),  414–435
  5. Regularization of classical optimality conditions in optimization problems for linear Volterra-type systems with functional constraints

    Russian Universities Reports. Mathematics, 28:143 (2023),  298–325
  6. On regularization of the Lagrange principle in the optimization problems for linear distributed Volterra type systems with operator constraints

    Izv. IMI UdGU, 59 (2022),  85–113
  7. The Lagrange principle and the Pontryagin maximum principle in ill-posed optimal control problems

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208 (2022),  63–78
  8. On regularization of classical optimality conditions in convex optimal control

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022),  120–143
  9. Perturbation method, subdifferentials of nonsmooth analysis, and regularization of the Lagrange multiplier rule in nonlinear optimal control

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  202–221
  10. On regularization of the nondifferential Kuhn–Tucker theorem in a nonlinear problem for constrained extremum

    Russian Universities Reports. Mathematics, 27:140 (2022),  351–374
  11. On ill-posed problems, extremals of the Tikhonov functional and the regularized Lagrange principles

    Russian Universities Reports. Mathematics, 27:137 (2022),  58–79
  12. Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type

    Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  45–70
  13. Regularization of the Pontryagin maximum principle in a convex optimal boundary control problem for a parabolic equation with an operator equality constraint

    Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  221–237
  14. Lagrange principle and its regularization as a theoretical basis of stable solving optimal control and inverse problems

    Russian Universities Reports. Mathematics, 26:134 (2021),  151–171
  15. Regularized classical optimality conditions in iterative form for convex optimization problems for distributed Volterra-type systems

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021),  265–284
  16. On the regularization of the classical optimality conditions in convex optimal control problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  252–269
  17. Nondifferential Kuhn–Tucker theorems in constrained extremum problems via subdifferentials of nonsmooth analysis

    Russian Universities Reports. Mathematics, 25:131 (2020),  307–330
  18. On the regularization of the Lagrange principle and on the construction of the generalized minimizing sequences in convex constrained optimization problems

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:3 (2020),  410–428
  19. Regularized Lagrange principle and Pontryagin maximum principle in optimal control and in inverse problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  279–296
  20. Why regularization of Lagrange principle and Pontryagin maximum principle is needed and what it gives

    Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018),  757–775
  21. Regularization of the Pontryagin maximum principle in the problem of optimal boundary control for a parabolic equation with state constraints in Lebesgue spaces

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:2 (2017),  162–177
  22. The regularized iterative Pontryagin maximum principle in optimal control. II. Optimization of a distributed system

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:1 (2017),  26–41
  23. Inverse final observation problems for Maxwell's equations in the quasi-stationary magnetic approximation and stable sequential Lagrange principles for their solving

    Zh. Vychisl. Mat. Mat. Fiz., 57:2 (2017),  187–209
  24. Stable iterative Lagrange principle in convex programming as a tool for solving unstable problems

    Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  55–68
  25. On the regularized Lagrange principle in the iterative form and its application for solving unstable problems

    Mat. Model., 28:11 (2016),  3–18
  26. Regularization of Pontryagin maximum principle in optimal control of distributed systems

    Ural Math. J., 2:2 (2016),  72–86
  27. The regularized iterative Pontryagin maximum principle in optimal control. I. Optimization of a lumped system

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016),  474–489
  28. Stable Lagrange principle in sequential form for the problem of convex programming in uniformly convex space and its applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1,  14–28
  29. Stable sequential Kuhn–Tucker theorem in iterative form or a regularized Uzawa algorithm in a regular nonlinear programming problem

    Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  947–977
  30. Stable sequential convex programming in a Hilbert space and its application for solving unstable problems

    Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014),  25–49
  31. On the stable sequential Lagrange principle in convex programming and its application for solving unstable problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  231–240
  32. Sequential stable Kuhn–Tucker theorem in nonlinear programming

    Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1249–1271
  33. Regularized sequential Pontryagin maximum principle in the convex optimal control with pointwise state constraints

    Izv. IMI UdGU, 2012, no. 1(39),  130–133
  34. Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  229–244
  35. Regularized parametric Kuhn–Tucker theorem in a Hilbert space

    Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1594–1615
  36. Parametric dual regularization for an optimal control problem with pointwise state constraints

    Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009),  2083–2102
  37. The first variation and Pontryagin's maximum principle in optimal control for partial differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  998–1020
  38. On the regularizing properties of the Pontryagin maximum principle

    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1,  63–77
  39. Minimizing sequences in optimal control with approximately given input data and the regularizing properties of the Pontryagin maximum principle

    Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008),  220–236
  40. Regularized dual method for nonlinear mathematical programming

    Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  796–816
  41. Duality-based regularization in a linear convex mathematical programming problem

    Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  602–625
  42. Regularized dual algorithm in optimization and inverse problems

    Izv. IMI UdGU, 2006, no. 3(37),  147–148
  43. A parametric problem of the suboptimal control of the Goursat–Darboux system with a pointwise phase constraint

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 6,  40–52
  44. A regularized gradient dual method for the inverse problem of a final observation for a parabolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2001–2019
  45. Parametric optimization of nonlinear Goursat–Darboux systems with phase constraints

    Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1002–1022
  46. Suboptimal Control of a Semilinear Elliptic Equation with a Phase Constraint and a Boundary Control

    Differ. Uravn., 37:2 (2001),  260–275
  47. Suboptimal control of semilinear elliptic equations with phase constraints. II. Sensitivity, genericity of the regular maximum prin

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 8,  52–63
  48. Suboptimal control of semilinear elliptic equations with phase constraints. I. The maximum principle for minimizing sequences and normality

    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 6,  33–44
  49. A maximum principle in the theory of suboptimal control of distributed systems with operator constraints in a Hilbert space

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 66 (1999),  193–235
  50. Suboptimal control of distributed parameter systems: Normality properties and dual subgradient method

    Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  162–178
  51. Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function

    Zh. Vychisl. Mat. Mat. Fiz., 37:1 (1997),  23–41
  52. On the first variation in the theory of optimal control of systems with distributed parameters

    Differ. Uravn., 27:12 (1991),  2179–2181
  53. Optimal control of sliding modes of discontinuous dynamical systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 1,  53–61
  54. The maximum principle residual functional in optimal control theory

    Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1133–1149
  55. Optimal control of objects that can be described by quasilinear elliptic equations

    Differ. Uravn., 25:8 (1989),  1406–1416
  56. Optimal control of discontinuous dynamical systems with sliding states

    Differ. Uravn., 24:11 (1988),  1911–1922
  57. Optimal control of systems with approximately known initial data

    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  163–177
  58. A method of the determination of atmosphere temperature profiles from observations of the astronomical refraction of stars

    Dokl. Akad. Nauk SSSR, 290:6 (1986),  1332–1335
  59. Minimizing sequences in optimal control problems with bounded phase coordinates

    Differ. Uravn., 22:10 (1986),  1719–1731
  60. Sufficient conditions for optimality in nonsmooth problems of optimal control of distributed systems

    Differ. Uravn., 22:2 (1986),  326–337
  61. Conditions for elements of minimizing sequences of optimal control problems

    Dokl. Akad. Nauk SSSR, 280:2 (1985),  292–296
  62. Sufficient conditions for elements of minimizing sequences in optimal control problems

    Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  23–31
  63. Optimal control of distributed parameter systems described by nonsmooth Goursat–Darboux systems with constraints of inequality type

    Differ. Uravn., 20:5 (1984),  851–860
  64. Construction of minimizing sequences

    Differ. Uravn., 19:4 (1983),  581–588
  65. Necessary conditions in a nonsmooth problem of optimal control

    Mat. Zametki, 32:2 (1982),  187–197
  66. On the construction of minimizing sequences in problems of the control of systems with distributed parameters

    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  49–56

© Steklov Math. Inst. of RAS, 2025