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Sumin, Mikhail Iosifovich
Statistics Math-Net.Ru
Total publications: 68
Scientific articles: 68
Talks: 1

Number of views:
This page:12143
Abstract pages:52462
Full texts:13185
Talk pages:477
Video records:42
Professor
Doctor of physico-mathematical sciences (2000)
E-mail: , ,
   
Main publications:
  • 1. Regulyarizovannyi gradientnyi dvoistvennyi metod resheniya obratnoi zadachi finalnogo nablyudeniya dlya parabolicheskogo uravneniya // ZhVM i MF. 2004. T.44. #11. S.2001-2019.
  • 2. Iterativnaya regulyarizatsiya gradientnogo dvoistvennogo metoda dlya resheniya integralnogo uravneniya Fredgolma pervogo roda // Vestnik NNGU. Matematika / N.Novgorod: Izd-vo NNGU. 2004. #1(2). S.192-208.
  • 3. Parametricheskaya optimizatsiya nelineinykh sistem Gursa--Darbu s fazovymi ogranicheniyami // ZhVM i MF. 2004. T.44. #6. S.1002-1022 (sovm. s Gavrilovym V.S.).
  • 4. Suboptimalnoe upravlenie polulineinym ellipticheskim uravneniem s fazovym ogranicheniem i granichnym upravleniem. // Differents. uravneniya. 2001. T.37. #2. S.260-275.
  • 5. Suboptimalnoe upravlenie polulineinymi ellipticheskimi uravneniyami s fazovymi ogranicheniyami, II: chuvstvitelnost, tipichnost regulyarnogo printsipa maksimuma. // Izvestiya VUZov, Matem. 2000. #8. S.52-63.

https://www.mathnet.ru/eng/person28240
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/205202
https://elibrary.ru/author_items.asp?spin=2421-1474
https://orcid.org/0000-0002-3700-6428

Publications in Math-Net.Ru Citations
2025
1. M. I. Sumin, “Perturbation method and regularization of the Lagrange principle in a nonlinear optimal control problem with pointwise state equality-constraint”, Russian Universities Reports. Mathematics, 30:151 (2025),  275–304  mathnet
2. M. I. Sumin, “On the regularization of the Lagrange principle in a nonlinear optimal control problem for a Goursat–Darboux system with a pointwise state equality-constraint”, Zh. Vychisl. Mat. Mat. Fiz., 65:11 (2025),  1813–1833  mathnet  elib; Comput. Math. Math. Phys., 65:11 (2025), 2580–2602
2024
3. M. I. Sumin, “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  mathnet  elib; Proc. Steklov Inst. Math., 325: suppl. 1 (2024), S194–S211  isi  scopus 2
4. V. I. Sumin, M. I. Sumin, “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  mathnet
5. M. I. Sumin, “Perturbation method and regularization of the Lagrange principle in nonlinear constrained optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2312–2331  mathnet  elib; Comput. Math. Math. Phys., 64:12 (2024), 2823–2844 2
2023
6. M. I. Sumin, “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  mathnet
7. V. I. Sumin, M. I. Sumin, “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  mathnet 1
2022
8. V. I. Sumin, M. I. Sumin, “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  mathnet 2
9. M. I. Sumin, “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  mathnet  mathscinet
10. M. I. Sumin, “On regularization of classical optimality conditions in convex optimal control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022),  120–143  mathnet 1
11. M. I. Sumin, “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  mathnet  elib 2
12. M. I. Sumin, “On regularization of the nondifferential Kuhn–Tucker theorem in a nonlinear problem for constrained extremum”, Russian Universities Reports. Mathematics, 27:140 (2022),  351–374  mathnet 1
13. M. I. Sumin, “On ill-posed problems, extremals of the Tikhonov functional and the regularized Lagrange principles”, Russian Universities Reports. Mathematics, 27:137 (2022),  58–79  mathnet 6
14. V. I. Sumin, M. I. Sumin, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:1 (2022), 42–65  isi  scopus 4
2021
15. M. I. Sumin, “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  mathnet  elib 2
16. M. I. Sumin, “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  mathnet 4
17. V. I. Sumin, M. I. Sumin, “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  mathnet 4
2020
18. M. I. Sumin, “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  mathnet  elib 17
19. M. I. Sumin, “Nondifferential Kuhn–Tucker theorems in constrained extremum problems via subdifferentials of nonsmooth analysis”, Russian Universities Reports. Mathematics, 25:131 (2020),  307–330  mathnet 6
20. M. I. Sumin, “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  mathnet 3
2019
21. M. I. Sumin, “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  mathnet  elib 18
2018
22. M. I. Sumin, “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  mathnet  elib 3
2017
23. A. A. Gorshkov, M. I. Sumin, “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  mathnet  elib 1
24. F. A. Kuterin, M. I. Sumin, “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  mathnet  elib 4
25. A. V. Kalinin, M. I. Sumin, A. A. Tyukhtina, “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  mathnet  elib; Comput. Math. Math. Phys., 57:2 (2017), 189–210  isi  scopus 10
26. F. A. Kuterin, M. I. Sumin, “Stable iterative Lagrange principle in convex programming as a tool for solving unstable problems”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  55–68  mathnet  elib; Comput. Math. Math. Phys., 57:1 (2017), 71–82  isi  scopus 6
2016
27. F. A. Kuterin, M. I. Sumin, “On the regularized Lagrange principle in the iterative form and its application for solving unstable problems”, Mat. Model., 28:11 (2016),  3–18  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 328–338  scopus 5
28. Mikhail I. Sumin, “Regularization of Pontryagin maximum principle in optimal control of distributed systems”, Ural Math. J., 2:2 (2016),  72–86  mathnet  zmath  elib 2
29. F. A. Kuterin, M. I. Sumin, “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  mathnet  mathscinet  elib 5
2015
30. A. A. Gorshkov, M. I. Sumin, “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  mathnet; Russian Math. (Iz. VUZ), 59:1 (2015), 11–23  scopus 1
31. M. I. Sumin, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:6 (2015), 935–961  isi  elib  scopus 7
2014
32. M. I. Sumin, “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  mathnet  elib; Comput. Math. Math. Phys., 54:1 (2014), 22–44  isi  elib  scopus 24
2013
33. M. I. Sumin, “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  mathnet  mathscinet  elib 7
34. A. V. Kanatov, M. I. Sumin, “Sequential stable Kuhn–Tucker theorem in nonlinear programming”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1249–1271  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:8 (2013), 1078–1098  isi  elib  scopus 5
2012
35. M. I. Sumin, “Regularized sequential Pontryagin maximum principle in the convex optimal control with pointwise state constraints”, Izv. IMI UdGU, 2012, no. 1(39),  130–133  mathnet 1
2011
36. M. I. Sumin, “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  mathnet  elib; Proc. Steklov Inst. Math., 275: suppl. 1 (2011), S161–S177  isi  scopus 6
37. M. I. Sumin, “Regularized parametric Kuhn–Tucker theorem in a Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1594–1615  mathnet  mathscinet; Comput. Math. Math. Phys., 51:9 (2011), 1489–1509  isi  scopus 46
2009
38. M. I. Sumin, “Parametric dual regularization for an optimal control problem with pointwise state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009),  2083–2102  mathnet; Comput. Math. Math. Phys., 49:12 (2009), 1987–2005  isi  scopus 14
39. M. I. Sumin, “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  mathnet  zmath  elib; Comput. Math. Math. Phys., 49:6 (2009), 958–978  isi  elib  scopus 12
2008
40. M. I. Sumin, E. V. Trushina, “On the regularizing properties of the Pontryagin maximum principle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1,  63–77  mathnet  mathscinet; Russian Math. (Iz. VUZ), 52:1 (2008), 59–71
41. M. I. Sumin, E. V. Trushina, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:2 (2008), 209–224  isi  scopus
2007
42. M. I. Sumin, “Regularized dual method for nonlinear mathematical programming”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  796–816  mathnet  mathscinet; Comput. Math. Math. Phys., 47:5 (2007), 760–779  scopus 19
43. M. I. Sumin, “Duality-based regularization in a linear convex mathematical programming problem”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  602–625  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 47:4 (2007), 579–600  elib  scopus 51
2006
44. M. I. Sumin, “Regularized dual algorithm in optimization and inverse problems”, Izv. IMI UdGU, 2006, no. 3(37),  147–148  mathnet
2005
45. V. S. Gavrilov, M. I. Sumin, “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  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 49:6 (2005), 37–48 2
2004
46. M. I. Sumin, “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  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 44:11 (2004), 1903–1921 31
47. V. S. Gavrilov, M. I. Sumin, “Parametric optimization of nonlinear Goursat–Darboux systems with phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1002–1022  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:6 (2004), 949–968 4
2001
48. M. I. Sumin, “Suboptimal Control of a Semilinear Elliptic Equation with a Phase Constraint and a Boundary Control”, Differ. Uravn., 37:2 (2001),  260–275  mathnet  mathscinet; Differ. Equ., 37:2 (2001), 281–300 3
2000
49. M. I. Sumin, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:8 (2000), 50–60 3
50. M. I. Sumin, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:6 (2000), 31–42 5
1999
51. M. I. Sumin, “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  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:2 (2001), 1060–1086 6
1997
52. M. I. Sumin, “Suboptimal control of distributed parameter systems: Normality properties and dual subgradient method”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  162–178  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:2 (1997), 158–174 11
53. M. I. Sumin, “Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function”, Zh. Vychisl. Mat. Mat. Fiz., 37:1 (1997),  23–41  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:1 (1997), 21–39 17
1991
54. M. I. Sumin, “On the first variation in the theory of optimal control of systems with distributed parameters”, Differ. Uravn., 27:12 (1991),  2179–2181  mathnet  zmath 1
1990
55. S. F. Morozov, M. I. Sumin, “Optimal control of sliding modes of discontinuous dynamical systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 1,  53–61  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:1 (1990), 61–70 1
56. M. I. Sumin, “The maximum principle residual functional in optimal control theory”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1133–1149  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 117–129 2
1989
57. M. I. Sumin, “Optimal control of objects that can be described by quasilinear elliptic equations”, Differ. Uravn., 25:8 (1989),  1406–1416  mathnet  mathscinet  zmath; Differ. Equ., 25:8 (1989), 1004–1012 6
1988
58. M. I. Sumin, “Optimal control of discontinuous dynamical systems with sliding states”, Differ. Uravn., 24:11 (1988),  1911–1922  mathnet  mathscinet; Differ. Equ., 24:11 (1988), 1277–1286
1987
59. M. I. Sumin, “Optimal control of systems with approximately known initial data”, Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  163–177  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:1 (1987), 106–116 6
1986
60. N. A. Vasilenko, K. P. Gaikovich, M. I. Sumin, “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  mathnet
61. M. I. Sumin, “Minimizing sequences in optimal control problems with bounded phase coordinates”, Differ. Uravn., 22:10 (1986),  1719–1731  mathnet  mathscinet  zmath 5
62. M. I. Sumin, “Sufficient conditions for optimality in nonsmooth problems of optimal control of distributed systems”, Differ. Uravn., 22:2 (1986),  326–337  mathnet  mathscinet 1
1985
63. V. I. Plotnikov, M. I. Sumin, “Conditions for elements of minimizing sequences of optimal control problems”, Dokl. Akad. Nauk SSSR, 280:2 (1985),  292–296  mathnet  mathscinet  zmath 2
64. M. I. Sumin, “Sufficient conditions for elements of minimizing sequences in optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 25:1 (1985),  23–31  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:1 (1985), 15–21 5
1984
65. V. I. Plotnikov, M. I. Sumin, “Optimal control of distributed parameter systems described by nonsmooth Goursat–Darboux systems with constraints of inequality type”, Differ. Uravn., 20:5 (1984),  851–860  mathnet  mathscinet 1
1983
66. V. I. Plotnikov, M. I. Sumin, “Construction of minimizing sequences”, Differ. Uravn., 19:4 (1983),  581–588  mathnet  mathscinet 2
1982
67. V. I. Plotnikov, M. I. Sumin, “Necessary conditions in a nonsmooth problem of optimal control”, Mat. Zametki, 32:2 (1982),  187–197  mathnet  mathscinet  zmath; Math. Notes, 32:2 (1982), 574–579  isi 1
68. V. I. Plotnikov, M. I. Sumin, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 49–57 6

Presentations in Math-Net.Ru
1. Недифференциальные теоремы Куна-Таккера в задачах на условный экстремум и субдифференциалы негладкого анализа
М. И. Сумин
International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information Technologies of Derzhavin Tambov State University
October 13, 2020 16:50   

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