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Elkin, Vladimir Ivanovich
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Website: http://ndsipu.cmc.msu.ru/teachers.php?id=102

https://www.mathnet.ru/eng/person37014
https://ru.wikipedia.org/wiki/Elkin,_Vladimir_Ivanovich
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?authorid=1895
ISTINA https://istina.msu.ru/workers/24575678
https://www.scopus.com/authid/detail.url?authorId=6602725079

Publications in Math-Net.Ru Citations
2024
1. V. I. Elkin, “Symmetries and decomposition of systems of partial differential equations and control systems with distributed parameters”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024),  932–939  mathnet  elib; Comput. Math. Math. Phys., 64:6 (2024), 1186–1192
2023
2. V. I. Elkin, “Aggregation and decomposition of systems of partial differential equations and control systems with distributed parameters”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023),  1575–1586  mathnet  elib; Comput. Math. Math. Phys., 63:9 (2023), 1741–1750 2
2018
3. V. I. Elkin, “Affine controlled systems and $t$-systems of Pfaffian equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018),  1098–1107  mathnet  elib; Comput. Math. Math. Phys., 58:7 (2018), 1049–1057  isi  scopus
4. V. I. Elkin, “Geometric theory of reduction of nonlinear control systems”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018),  165–168  mathnet  elib; Comput. Math. Math. Phys., 58:2 (2018), 155–158  isi  scopus
2016
5. V. I. Elkin, “Systems of Pfaffian equations and controlled systems”, Zh. Vychisl. Mat. Mat. Fiz., 56:11 (2016),  1863–1871  mathnet  elib; Comput. Math. Math. Phys., 56:11 (2016), 1834–1842  isi  scopus 1
2011
6. V. I. Elkin, “Controllable dynamic systems and underdetermined systems of differential equations”, Avtomat. i Telemekh., 2011, no. 9,  28–38  mathnet  mathscinet  zmath; Autom. Remote Control, 72:9 (2011), 1822–1832  isi  scopus
2010
7. V. I. Elkin, “Constructing subsystems for nonlinear controlled systems”, Avtomat. i Telemekh., 2010, no. 5,  11–20  mathnet  mathscinet  zmath; Autom. Remote Control, 71:5 (2010), 738–746  isi  scopus 2
2006
8. V. I. Elkin, “On categories and foundations of the theory of nonlinear control dynamical systems: V”, Differ. Uravn., 42:11 (2006),  1481–1489  mathnet  mathscinet; Differ. Equ., 42:11 (2006), 1553–1561 3
2005
9. V. I. Elkin, “On Categories and Foundations of the Theory of Nonlinear Control Dynamical Systems: IV”, Differ. Uravn., 41:11 (2005),  1501–1509  mathnet  mathscinet; Differ. Equ., 41:11 (2005), 1577–1584
2004
10. V. I. Elkin, “On categories and foundations of the theory of nonlinear control dynamical systems: III”, Differ. Uravn., 40:12 (2004),  1596–1607  mathnet  mathscinet; Differ. Equ., 40:12 (2004), 1676–1686
2003
11. V. I. Elkin, “Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: II”, Differ. Uravn., 39:11 (2003),  1487–1496  mathnet  mathscinet; Differ. Equ., 39:11 (2003), 1568–1577 2
2002
12. V. I. Elkin, “Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: I”, Differ. Uravn., 38:11 (2002),  1467–1482  mathnet  mathscinet; Differ. Equ., 38:11 (2002), 1559–1573 1
2000
13. V. I. Elkin, L. B. Konovalova, “On the reduction of nonlinear controlled systems to linear ones”, Avtomat. i Telemekh., 2000, no. 2,  45–55  mathnet  mathscinet  zmath; Autom. Remote Control, 61:2 (2000), 215–225 5
1999
14. V. I. Elkin, D. G. Ivashko, “On the decomposition of three-dimensional nonlinear control systems”, Differ. Uravn., 35:11 (1999),  1473–1481  mathnet  mathscinet; Differ. Equ., 35:11 (1999), 1494–1502
1998
15. V. I. Elkin, D. G. Ivashko, “On a connection between the concepts of a $C$-system and an $L_1$-system in the theory of affine control systems”, Differ. Uravn., 34:11 (1998),  1471–1477  mathnet  mathscinet; Differ. Equ., 34:11 (1998), 1471–1477
1997
16. V. I. Elkin, “On control systems that admit Lie algebras with the $L$-property”, Differ. Uravn., 33:11 (1997),  1490–1494  mathnet  mathscinet; Differ. Equ., 33:11 (1997), 1496–1500
1996
17. V. I. Elkin, D. G. Ivashko, “Admissible Lie algebras for some types of affine control systems”, Differ. Uravn., 32:11 (1996),  1473–1479  mathnet  mathscinet; Differ. Equ., 32:11 (1996), 1469–1476
1995
18. V. I. Elkin, “Subsystems of controllable systems and the problem of terminal control”, Avtomat. i Telemekh., 1995, no. 1,  21–29  mathnet  mathscinet  zmath; Autom. Remote Control, 56:1 (1995), 16–22 2
19. V. I. Elkin, “Decomposition of affine controlled systems”, Differ. Uravn., 31:11 (1995),  1819–1828  mathnet  mathscinet; Differ. Equ., 31:11 (1995), 1787–1795
1994
20. V. I. Elkin, “Narrowing of affine control systems and its applications”, Dokl. Akad. Nauk, 339:6 (1994),  754–756  mathnet  mathscinet  zmath; Dokl. Math., 39:12 (1994), 853–855
21. V. I. Elkin, “Affine control systems, affine distributions and $t$-codistributions”, Differ. Uravn., 30:11 (1994),  1869–1879  mathnet  mathscinet; Differ. Equ., 30:11 (1994), 1726–1734 1
22. V. I. Elkin, “Subsystems of control systems and control problems with equality-type constraints on the phase variables”, Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1585–1596  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:11 (1994), 1363–1370  isi
1993
23. V. I. Elkin, “Factorization and decomposition of affine controlled systems”, Dokl. Akad. Nauk, 332:5 (1993),  560–562  mathnet  mathscinet  zmath; Dokl. Math., 48:2 (1994), 376–379
1991
24. V. I. Elkin, “Automorphisms and decomposition of affine control systems”, Dokl. Akad. Nauk SSSR, 316:1 (1991),  30–32  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 23–25
1988
25. V. I. Elkin, “Classification of affine controllable systems with a phase space of dimension $n<4$”, Dokl. Akad. Nauk SSSR, 302:1 (1988),  18–20  mathnet  mathscinet  zmath; Dokl. Math., 38:2 (1989), 245–247 2
1985
26. V. I. Ëlkin, “On the classification and canonical forms of nonlinear controllable systems”, Avtomat. i Telemekh., 1985, no. 9,  31–41  mathnet  mathscinet  zmath; Autom. Remote Control, 46 (1985), 1089–1098 1
27. V. I. Elkin, “General solution of systems of partial differential equations with identical principal part”, Differ. Uravn., 21:8 (1985),  1389–1398  mathnet  mathscinet
1981
28. V. I. Elkin, “Implementation, invariance, and autonomy of nonlinear dynamic controlled systems”, Avtomat. i Telemekh., 1981, no. 7,  36–44  mathnet  mathscinet  zmath; Autom. Remote Control, 42:7 (1981), 878–885 1
1979
29. V. I. Elkin, Yu. N. Pavlovsky, T. G. Smirnova, “The method of complete systems in aggregation problems”, Upravliaemie systemy, 1979, no. 18,  26–38  mathnet  mathscinet  zmath
1978
30. V. I. Elkin, “Conditions for the aggregation of dynamical control objects”, Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978),  928–934  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:4 (1978), 107–114 5

Presentations in Math-Net.Ru
1. Геометрическая теория редукции нелинейных управляемых систем
V. I. Elkin
Scientific conference "Modeling the Co-evolution of Nature and Society: problems and experience" devoted to the 100-th anniversary of N. N. Moiseev
November 8, 2017 10:00   
2. Редукция управляемых систем
V. I. Elkin
International Conference on Applied Mathematics and Computer Science dedicated to the 60th Anniversary of Dorodnicyn Computing Centre of RAS
December 9, 2015 16:15   

Organisations