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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
D. Yu. Karamzin, “Some estimates for the jump of the derivative of the Lagrange multiplier function in optimal control problems with second-order state constraints”, Bulletin of Irkutsk State University. Series Mathematics, 49 (2024), 3–15 |
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2023 |
2. |
D. Yu. Karamzin, F. Lobo Pereira, “On normality in optimal control problems with state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 937 ; Comput. Math. Math. Phys., 63:6 (2023), 973–989 |
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2022 |
3. |
A. N. Daryina, A. I. Diveev, D. Yu. Karamzin, F. L. Pereira, E. A. Sofronova, R. A. Chertovskikh, “Regular approximations of the fastest motion of mobile robot under bounded state variables”, Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022), 1564–1584 ; Comput. Math. Math. Phys., 62:9 (2022), 1539–1558 |
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2017 |
4. |
A. V. Gorbacheva, D. Yu. Karamzin, “Lipschitz continuity of the measure Lagrange multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 508–516 |
5. |
A. V. Arutyunov, S. E. Zhukovskiy, D. Yu. Karamzin, “Some properties of two-dimensional surjective $p$-homogeneous maps”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1083–1092 ; Comput. Math. Math. Phys., 57:7 (2017), 1081–1089 |
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2015 |
6. |
D. Yu. Karamzin, “The Dines theorem and some other properties of quadratic mappings”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1661–1669 ; Comput. Math. Math. Phys., 55:10 (2015), 1633–1641 |
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2014 |
7. |
E. R. Avakov, A. V. Arutyunov, D. Yu. Karamzin, “An investigation of smooth maps in a neighbourhood of an abnormal point”, Izv. RAN. Ser. Mat., 78:2 (2014), 3–42 ; Izv. Math., 78:2 (2014), 213–250 |
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8. |
A. V. Arutyunov, D. Yu. Karamzin, F. L. Pereira, “Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014), 29–37 ; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 27–35 |
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2011 |
9. |
A. V. Arutyunov, D. Yu. Karamzin, “Regular zeros of quadratic maps and their application”, Mat. Sb., 202:6 (2011), 3–28 ; Sb. Math., 202:6 (2011), 783–806 |
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2007 |
10. |
D. Yu. Karamzin, “Principle of maximum in the problem of control under limited phase coordinates”, Avtomat. i Telemekh., 2007, no. 2, 26–38 ; Autom. Remote Control, 68:2 (2007), 233–244 |
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11. |
D. Yu. Karamzin, “Necessary extremum conditions in the optimal control problem with state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1123–1150 ; Comput. Math. Math. Phys., 47:7 (2007), 1073–1100 |
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12. |
A. V. Arutyunov, D. Yu. Karamzin, “Necessary optimality conditions for abnormal problems with geometric constraints”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 364–375 ; Comput. Math. Math. Phys., 47:3 (2007), 349–360 |
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2006 |
13. |
D. Yu. Karamzin, “On necessary extremum conditions for finite-dimensional problems with inequality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 1950–1961 ; Comput. Math. Math. Phys., 46:11 (2006), 1860–1871 |
14. |
A. V. Arutyunov, D. Yu. Karamzin, “Necessary optimality conditions in an abnormal optimization problem with equality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006), 1363–1368 ; Comput. Math. Math. Phys., 46:8 (2006), 1293–1298 |
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2005 |
15. |
A. V. Arutyunov, D. Yu. Karamzin, “Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints”, Differ. Uravn., 41:11 (2005), 1458–1468 ; Differ. Equ., 41:11 (2005), 1532–1543 |
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2002 |
16. |
A. V. Arutyunov, V. N. Burkov, A. Yu. Zalozhnev, D. Yu. Karamzin, “A Problem of Optimal Distribution of Resources over a Set of Independent Operations”, Avtomat. i Telemekh., 2002, no. 5, 108–119 ; Autom. Remote Control, 63:5 (2002), 792–802 |
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2008 |
17. |
D. Yu. Karamzin, “Correction”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 352 ; Comput. Math. Math. Phys., 48:2 (2008), 336 |
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