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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotic expansion of the solution to an optimal control problem for a linear autonomous system with a terminal convex quality index depending on slow and fast variables”, Izv. IMI UdGU, 61 (2023), 42–56 |
2. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023), 41–53 ; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S85–S97 |
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2022 |
3. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of a solution to a time-optimal control problem with an unbounded target set in the critical case”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022), 58–73 |
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2021 |
4. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time of transferring a linear control system with zero real parts of the eigenvalues of the matrix at the fast variables to an unbounded target set”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021), 48–61 |
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2020 |
5. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of a Solution to a Singularly Perturbed Time-Optimal Control Problem of Transferring an Object to a Set”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020), 132–146 ; Proc. Steklov Inst. Math. (Suppl.), 313, suppl. 1 (2021), S40–S53 |
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2019 |
6. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the Solution to a Singularly Perturbed Time-Optimal Control Problem with Two Small Parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019), 88–101 ; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S10–S23 |
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2018 |
7. |
A. R. Danilin, O. O. Kovrizhnykh, “On a singularly perturbed time-optimal control problem with two small parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 76–92 ; Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S34–S50 |
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2017 |
8. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of a solution to a singularly perturbed time-optimal control problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 67–76 ; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 60–69 |
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9. |
A. R. Danilin, S. V. Zakharov, O. O. Kovrizhnykh, E. F. Lelikova, I. V. Pershin, O. Yu. Khachay, “The Yekaterinburg heritage of Arlen Mikhailovich Il'in”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 42–66 |
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2016 |
10. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time in a time-optimal control problem with a small parameter”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016), 61–70 ; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 62–71 |
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2015 |
11. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time in a time-optimal control problem with a small parameter”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015), 71–80 |
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2014 |
12. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time in a time-optimal problem with two small parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014), 92–99 ; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 46–53 |
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2013 |
13. |
A. I. Korotkii, N. A. Artemova, N. A. Vaganova, O. O. Kovrizhnykh, L. I. Rubina, O. N. Ul'yanov, O. V. Ushakova, M. Yu. Filimonov, I. A. Tsepelev, “On the development of analytical and numerical solution methods for problems of continuum mechanics”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013), 203–215 |
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2012 |
14. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotic representation of a solution to a singular perturbation linear time-optimal problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012), 67–79 ; Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 22–35 |
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2011 |
15. |
A. R. Danilin, O. O. Kovrizhnykh, “The dependence of the time-optimal control problem for a linear system of the small parameters”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14, 46–60 |
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2010 |
16. |
A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time in a singular perturbation linear problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 63–75 ; Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S53–S65 |
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2007 |
17. |
O. O. Kovrizhnykh, “On an asymptotic solution of a singularly perturbed system with two small parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007), 124–134 ; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S178–S189 |
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2005 |
18. |
O. O. Kovrizhnykh, “Asymptotic Expansion of a Solution of a Singularly Perturbed System of Linear Equations”, Differ. Uravn., 41:10 (2005), 1322–1331 ; Differ. Equ., 41:10 (2005), 1392–1402 |
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2003 |
19. |
O. O. Kovrizhnykh, “On the construction of an asymptotic solution of a nonlinear degenerate parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 43:10 (2003), 1487–1493 ; Comput. Math. Math. Phys., 43:10 (2003), 1430–1436 |
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