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Khailov, Evgenii Nikolaevich

Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 18
Presentations: 4

Number of views:
This page:1577
Abstract pages:4159
Full texts:1636
References:298
Associate professor
Candidate of physico-mathematical sciences (1989)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)

https://www.mathnet.ru/eng/person25051
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/257713
https://elibrary.ru/author_items.asp?spin=4313-9587

Publications in Math-Net.Ru Citations
2024
1. E. N. Khailov, “Bolza minimization problems for the Lotka–Volterra competition model”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024),  259–276  mathnet  elib
2. E. N. Khailov, “Extensibility of solutions of non-autonomous systems of quadratic differential equations and their application in optimal control problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024),  237–248  mathnet  elib
2022
3. E. N. Khailov, E. V. Grigorieva, A. D. Klimenkova, “Optimal combination treatment protocols for a controlled model of blood cancer”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  222–240  mathnet  elib 1
2021
4. N. L. Grigorenko, E. N. Khailov, E. V. Grigorieva, A. D. Klimenkova, “Optimal strategies of CAR T-Cell therapy in the treatment of leukemia within the Lotka-Volterra predator-prey model”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  43–58  mathnet  elib 1
5. N. L. Grigorenko, E. N. Khailov, E. V. Grigorieva, A. D. Klimenkova, “Lotka–Volterra Competition Model with a Nonmonotone Therapy Function for Finding Optimal Strategies in the Treatment of Blood Cancers”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  79–98  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 317, suppl. 1 (2022), S71–S89  isi  scopus 2
6. E. N. Khailov, E. V. Grigorieva, “Connecting a Third-Order Singular Arc with Nonsingular Arcs of Optimal Control in a Minimization Problem for a Psoriasis Treatment Model”, Trudy Mat. Inst. Steklova, 315 (2021),  271–283  mathnet; Proc. Steklov Inst. Math., 315 (2021), 257–269  isi  scopus
2020
7. N. L. Grigorenko, E. N. Khailov, E. V. Grigorieva, A. D. Klimenkova, “Optimal Strategies in the Treatment of Cancers in the Lotka–Volterra Mathematical Model of Competition”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  71–88  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S100–S116  isi  scopus 4
2019
8. E. N. Khailov, E. V. Grigorieva, “On a Third-Order Singular Arc of Optimal Control in a Minimization Problem for a Mathematical Model of Psoriasis Treatment”, Trudy Mat. Inst. Steklova, 304 (2019),  298–308  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 304 (2019), 281–291  isi  scopus 2
2013
9. E. N. Khailov, E. V. Grigorieva, “On the extensibility of solutions of nonautonomous quadratic differential systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  279–288  mathnet  mathscinet  elib 2
2012
10. N. V. Bondarenko, E. V. Grigor'eva, E. N. Khailov, “Minimization problem of pollution in mathematical model of biological wastewater treatment”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012),  614–627  mathnet  elib 1
2002
11. E. N. Khailov, “Attainability Sets of a Homogeneous Bilinear System with Quasicommuting Matrices”, Differ. Uravn., 38:12 (2002),  1620–1626  mathnet  mathscinet; Differ. Equ., 38:12 (2002), 1717–1723
12. E. N. Khailov, “On the parametrization of a reachable set of a bilinear system with commuting matrices”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 90 (2002),  190–231  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 114:3 (2003), 1363–1387
1998
13. E. N. Khailov, “On extremal controls for a homogeneous bilinear system that is controlled in the positive orthant”, Trudy Mat. Inst. Steklova, 220 (1998),  217–235  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 220 (1998), 214–232 5
1996
14. E. N. Khailov, “On the switching times of extremal controls in a linear time-optimality problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  255–265  mathnet  mathscinet  zmath  elib
1995
15. E. N. Khailov, “Some estimations on extremal controls in the problem of optimal control for bilinear systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 3 (1995),  202–210  mathnet  mathscinet  zmath  elib
16. E. N. Khailov, “Parametrization of the controllability set of a linear control dynamical system”, Trudy Mat. Inst. Steklov., 211 (1995),  401–410  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 211 (1995), 362–370
1992
17. E. N. Khailov, “Determination of the switching times of an extremal control in a nonlinear time-optimality problem”, Differ. Uravn., 28:11 (1992),  1988–1993  mathnet  mathscinet; Differ. Equ., 28:11 (1992), 1636–1640
1988
18. E. N. Khailov, “Analytic parametrization of the set of controllability in a linear control problem”, Mat. Zametki, 44:3 (1988),  405–406  mathnet  zmath 1

2008
19. A. Begunts, S. Voloshin, V. Voronin, E. Grigor'ev, D. Denisov, A. Zoteev, V. Korolev, T. Lukashenko, G. Medvedev, V. Panferov, V. Pogozhev, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2008, no. 1,  45–53  mathnet
2007
20. S. Avvakumov, A. Begunts, P. Borodin, S. Voloshin, V. Voronin, N. Grigorenko, E. Grigor'ev, D. Denisov, A. Zoteev, Yu. Kiselev, S. Kozlov, I. Lomov, G. Medvedev, A. Nevzorov, V. Panferov, V. Pogozhev, A. Razgulin, S. Samsonov, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2007, no. 1,  44–52  mathnet
2006
21. S. Avvakumov, V. Bening, S. Voloshin, V. Voronin, E. Grigor'ev, D. Denisov, A. Zoteev, N. Levshin, I. Lomov, G. Medvedev, V. Panferov, V. Pogozhev, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2006, no. 1,  44–52  mathnet
2005
22. V. Bening, P. Borodin, V. Voronin, E. Grigor'ev, D. Denisov, A. V. Zoteev, I. Inovenkov, N. Levshin, I. Lomov, G. Medvedev, A. Pavlikov, V. S. Panferov, V. Pogozhev, M. Potapov, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, M. Fedotov, E. Khailov, S. Chesnokov, O. Shalygina, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2005, no. 1,  40–49  mathnet

Presentations in Math-Net.Ru
1. Singular Regimes in Controlled Models of Disease Treatment
E. N. Khailov
Geometric Theory of Optimal Control
September 28, 2023 16:45   
2. Optimal strategies for combining drug and oncolytic virus therapies in a cancer treatment model
E. N. Khailov, E. V. Grigorieva
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 17:50   
3. Optimal strategies of the psoriasis treatment by suppressing the interactions between T-lymphocytes, keratinocytes and dendritic cells
E. N. Khailov, E. V. Grigorieva
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 14:30
4. An optimal control problem for a mathematical model of psoriasis
E. N. Khailov, E. V. Grigorieva
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05

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