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Dmitruk, Andrei Venediktovich
Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 23
Presentations: 8

Number of views:
This page:2021
Abstract pages:10388
Full texts:4549
References:764
Professor
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: , ,

https://www.mathnet.ru/eng/person18815
https://ru.wikipedia.org/wiki/Dmitruk,_Andrei_Venediktovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197418
https://elibrary.ru/author_items.asp?authorid=5776
ISTINA https://istina.msu.ru/workers/2998291

Publications in Math-Net.Ru Citations
2024
1. E. Voronina, A. V. Dmitruk, “An optimal synthesis for a triple integrator with a state constraint”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  68–85  mathnet  elib
2023
2. A. V. Dmitruk, “Variations of $v$-change of time in an optimal control problem with state and mixed constraints”, Izv. RAN. Ser. Mat., 87:4 (2023),  91–132  mathnet  mathscinet; Izv. Math., 87:4 (2023), 726–767  isi  scopus
2021
3. A. V. Dmitruk, N. A. Manuilovich, “Minimization of Degenerate Integral Quadratic Functionals”, Trudy Mat. Inst. Steklova, 315 (2021),  108–127  mathnet; Proc. Steklov Inst. Math., 315 (2021), 98–117  isi  scopus
2018
4. A. V. Dmitruk, N. P. Osmolovskii, “Variations of the $v$-change of time in problems with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  76–92  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S49–S64  isi  scopus 4
2014
5. A. V. Dmitruk, N. P. Osmolovskii, “On the proof of Pontryagin's maximum principle by means of needle variations”, Fundam. Prikl. Mat., 19:5 (2014),  49–73  mathnet  mathscinet; J. Math. Sci., 218:5 (2016), 581–598 8
6. Yu. I. Beloglazov, A. V. Dmitruk, “On the Uniform Convergence of Solutions of Volterra-Type Controlled Systems of Integral Equations Linear in the Control”, Mat. Zametki, 96:3 (2014),  333–342  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 317–325  isi  elib  scopus
2007
7. A. V. Dmitruk, “Approximation Theorem for a Nonlinear Control System with Sliding Modes”, Trudy Mat. Inst. Steklova, 256 (2007),  102–114  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 92–104  elib  scopus 4
2006
8. A. V. Dmitruk, “Pontryagin maximum principle: half a century later”, Izv. IMI UdGU, 2006, no. 3(37),  31–32  mathnet
9. A. V. Dmitruk, “Nonnegativity criterion for a degenerate quadratic form with two-dimensional control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  49–75  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:2 (2004), 2137–2155 3
2005
10. A. V. Dmitruk, N. V. Kuz'kina, “Existence Theorem in the Optimal Control Problem on an Infinite Time Interval”, Mat. Zametki, 78:4 (2005),  503–518  mathnet  mathscinet  zmath  elib; Math. Notes, 78:4 (2005), 466–480  isi  scopus 33
1999
11. A. V. Dmitruk, “Quadratic sufficient conditions for the minimality of abnormal sub-Riemannian geodesics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 65 (1999),  5–89  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:1 (2001), 779–829 3
1997
12. A. V. Dmitruk, “To the Necessity of the Krotov Type Sufficient Conditions of Optimality”, Avtomat. i Telemekh., 1997, no. 10,  3–17  mathnet  mathscinet  zmath; Autom. Remote Control, 58:10 (1997), 1555–1566
1990
13. A. V. Dmitruk, “Fine theorems on the relaxing of constraints on equality in an optimal control problem that is linear with respect to the control”, Sibirsk. Mat. Zh., 31:2 (1990),  37–51  mathnet  mathscinet  zmath; Siberian Math. J., 31:2 (1990), 215–229  isi 1
1987
14. A. V. Dmitruk, “Quadratic conditions for a Pontryagin minimum in an optimal control problem linear in the control. II. Theorems on weakening equality constraints”, Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987),  812–832  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:1 (1988), 121–141 8
1986
15. A. V. Dmitruk, “Quadratic conditions for a Pontryagin minimum in an optimum control problem linear in the control. I: A decoding theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 50:2 (1986),  284–312  mathnet  mathscinet  zmath; Math. USSR-Izv., 28:2 (1987), 275–303 19
1985
16. I. A. Asnis, A. V. Dmitruk, N. P. Osmolovskii, “Solution by the maximum principle of a problem on the energy-optimal control of the movement of a train”, Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1644–1655  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:6 (1985), 37–44 104
1984
17. A. V. Dmitruk, “Jacobi-type conditions for the problem of Bolza with inequalities”, Mat. Zametki, 35:6 (1984),  813–827  mathnet  mathscinet  zmath; Math. Notes, 35:6 (1984), 427–435  isi 5
1983
18. A. V. Dmitruk, “Quadratic conditions for the Pontryagin minimum in an optimal control problem that is linear with respect to control, with a constraint on the control”, Dokl. Akad. Nauk SSSR, 272:2 (1983),  285–289  mathnet  mathscinet 1
1981
19. A. V. Dmitruk, “A condition of Jacobi type for a quadratic form to be nonnegative on a finite-faced cone”, Izv. Akad. Nauk SSSR Ser. Mat., 45:3 (1981),  608–619  mathnet  mathscinet  zmath; Math. USSR-Izv., 18:3 (1982), 525–535 2
1980
20. A. V. Dmitruk, A. A. Milyutin, N. P. Osmolovskii, “Lyusternik's theorem and the theory of extrema”, Uspekhi Mat. Nauk, 35:6(216) (1980),  11–46  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:6 (1980), 11–51  isi 181
1977
21. A. V. Dmitruk, “Quadratic conditions for a weak minimum for singular regimes in optimal control problems”, Dokl. Akad. Nauk SSSR, 233:4 (1977),  523–526  mathnet  mathscinet  zmath 3
1976
22. A. V. Dmitruk, “Application of sliding mode method to optimal control problems with mixed constraints”, Funktsional. Anal. i Prilozhen., 10:3 (1976),  39–44  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:3 (1976), 197–201 4
23. A. V. Dmitruk, “The Euler–Jacobi equation in variational calculus”, Mat. Zametki, 20:6 (1976),  847–858  mathnet  mathscinet  zmath; Math. Notes, 20:6 (1976), 1032–1038 7
2024
24. E. R. Avakov, V. I. Burenkov, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. V. Dmitruk, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. D. Stepanov, V. M. Tikhomirov, “Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 26:2 (2024),  133–136  mathnet
2006
25. A. V. Dmitruk, N. V. Kuz'kina, “Letter to the Editor”, Mat. Zametki, 80:2 (2006),  320  mathnet  mathscinet  elib; Math. Notes, 80:2 (2006), 309  isi  scopus 4
2002
26. V. L. Bodneva, V. G. Boltyanskii, I. M. Gel'fand, V. V. Dicusar, A. V. Dmitruk, A. D. Ioffe, V. L. Levin, Ya. M. Kazhdan, N. P. Osmolovskii, V. M. Tikhomirov, G. M. Henkin, “Aleksei Alekseevich Milyutin (obituary)”, Uspekhi Mat. Nauk, 57:3(345) (2002),  137–140  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:3 (2002), 577–580  isi

Presentations in Math-Net.Ru
1. Method of $v$-change of time in optimal control problems
A. V. Dmitruk, N. P. Osmolovskii
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 17:00   
2. Goh transformation and related optimality conditions in problems linear in control.
A. V. Dmitruk
Geometric Theory of Optimal Control
May 12, 2021 16:45   
3. On the stationarity conditions in an optimal control problem for a trajectory with smooth boundary contact on a single interval
Andrei Dmitruk, Ivan Samylovskiy
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 14:30
4. Правило множителей Лагранжа в общей задаче на экстремум с бесконечным числом ограничений
A. V. Dmitruk, N. P. Osmolovskii
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 12:30   
5. On two approaches to necessary conditions in state-constrained optimal control problems
A. V. Dmitruk, I. A. Samylovskiy
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05
6. Necessary conditions in optimal control problems with integral equations
A. V. Dmitruk
International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov
September 22, 2016 18:20   
7. Maximum principle for optimal control problems with integral equations subject to state and mixed constraints
A. V. Dmitruk
International Conference on Mathematical Control Theory and Mechanics
July 4, 2015 09:40
8. Об условиях оптимальности в задачах на экстремум с ограничениями
A. V. Dmitruk
Mathematical Seminar
May 7, 2013 17:00   

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