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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
V. A. Dykhta, “Support majorants and feedback minimum principles for discrete optimal control problems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024), 43–49 |
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2023 |
2. |
V. A. Dykhta, “Methods for improving the efficiency of the positional minimum principle in optimal control problems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023), 54–64 |
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2022 |
3. |
Vladimir A. Dykhta, “Feedback minimum principle: variational strengthening of the concept of extremality in optimal control”, Bulletin of Irkutsk State University. Series Mathematics, 41 (2022), 19–39 |
1
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4. |
V. A. Dykhta, “On the set of necessary optimality conditions with positional controls generated by weakly decreasing solutions of the Hamilton-Jacobi inequality”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022), 83–93 |
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2018 |
5. |
V. A. Dykhta, O. N. Samsonyuk, “Feedback minimum principle for impulsive processes”, Bulletin of Irkutsk State University. Series Mathematics, 25 (2018), 46–62 |
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2017 |
6. |
V. A. Dykhta, “Feedback minimum principle for quasi-optimal processes of terminally-constrained control problems”, Bulletin of Irkutsk State University. Series Mathematics, 19 (2017), 113–128 |
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2015 |
7. |
V. A. Dykhta, “Positional strengthenings of the maximum principle and sufficient optimality conditions”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015), 73–86 ; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 43–57 |
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2014 |
8. |
V. A. Dykhta, “Nonstandard duality and nonlocal necessary optimality conditions in nonconvex optimal control problems”, Avtomat. i Telemekh., 2014, no. 11, 19–37 ; Autom. Remote Control, 75:11 (2014), 1906–1921 |
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9. |
V. A. Dykhta, “Weakly monotone solutions of the Hamilton–Jacobi inequality and optimality conditions with positional controls”, Avtomat. i Telemekh., 2014, no. 5, 31–49 ; Autom. Remote Control, 75:5 (2014), 829–844 |
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10. |
V. A. Dykhta, “Variational Optimality Conditions with Feedback Descent Controls that Strengthen the Maximum Principle”, Bulletin of Irkutsk State University. Series Mathematics, 8 (2014), 86–103 |
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2011 |
11. |
V. A. Dykhta, S. P. Sorokin, “Hamilton–Jacobi inequalities and the optimality conditions in the problems of control with common end constraints”, Avtomat. i Telemekh., 2011, no. 9, 13–27 ; Autom. Remote Control, 72:9 (2011), 1808–1821 |
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12. |
V. A. Dykhta, S. P. Sorokin, “Positional solutions of Hamilton–Jacobi equations in control problems for discrete-continuous systems”, Avtomat. i Telemekh., 2011, no. 6, 48–63 ; Autom. Remote Control, 72:6 (2011), 1184–1198 |
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13. |
V. A. Dykhta, O. N. Samsonyuk, “The canonical theory of the impulse process optimality”, CMFD, 42 (2011), 118–124 ; Journal of Mathematical Sciences, 199:6 (2014), 646–653 |
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14. |
V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls”, Sib. Zh. Ind. Mat., 14:3 (2011), 3–13 ; J. Appl. Industr. Math., 6:2 (2012), 135–144 |
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15. |
V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control”, Sib. Zh. Ind. Mat., 14:2 (2011), 3–14 ; J. Appl. Industr. Math., 5:4 (2011), 467–477 |
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2010 |
16. |
V. A. Dykhta, “Analysis of sufficient optimality conditions with a set of Lyapunov type functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010), 66–75 |
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17. |
V. A. Dykhta, O. N. Samsonyuk, “Hamilton–Jacobi inequalities in control problems for impulsive dynamical systems”, Trudy Mat. Inst. Steklova, 271 (2010), 93–110 ; Proc. Steklov Inst. Math., 271 (2010), 86–102 |
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2009 |
18. |
A. V. Arguchintsev, V. A. Dykhta, V. A. Srochko, “Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 1, 3–43 ; Russian Math. (Iz. VUZ), 53:1 (2009), 1–35 |
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19. |
V. A. Dykhta, O. N. Samsonyuk, “A maximum principle for smooth optimal impulsive control problems with multipoint state constraints”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 981–997 ; Comput. Math. Math. Phys., 49:6 (2009), 942–957 |
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2006 |
20. |
V. A. Dykhta, “Lyapunov–Krotov inequality and sufficient conditions in optimal control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006), 76–108 ; J. Math. Sci. (N. Y.), 121:2 (2004), 2156–2177 |
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2002 |
21. |
V. A. Dykhta, “A Variational Maximum Principle for Classical Optimal Control Problems”, Avtomat. i Telemekh., 2002, no. 4, 47–54 ; Autom. Remote Control, 63:4 (2002), 560–567 |
1
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22. |
N. V. Antipina, V. A. Dykhta, “Linear Lyapunov–Krotov functions and sufficient conditions for optimality in the form of the maximum principle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 12, 11–22 ; Russian Math. (Iz. VUZ), 46:12 (2002), 9–20 |
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2001 |
23. |
V. A. Dykhta, N. V. Derenko, “Numerical methods for solving problems of optimal impulse control that are based on the variational maximum principle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 12, 32–40 ; Russian Math. (Iz. VUZ), 45:12 (2001), 29–37 |
24. |
V. A. Dykhta, O. N. Samsonyuk, “The maximum principle in nonsmooth optimal impulse control problems with multipoint phase constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2, 19–32 ; Russian Math. (Iz. VUZ), 45:2 (2001), 16–29 |
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1999 |
25. |
V. A. Dykhta, “Impulsive optimal control in models of economics and quantum electronics”, Avtomat. i Telemekh., 1999, no. 11, 100–112 ; Autom. Remote Control, 60:11 (1999), 1603–1613 |
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26. |
V. A. Dykhta, O. N. Samsonyuk, “The maximum principle in nonsmooth optimal control problems with discontinuous trajectories”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 12, 26–37 ; Russian Math. (Iz. VUZ), 43:12 (1999), 23–34 |
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1996 |
27. |
V. A. Dykhta, “Necessary conditions for the optimality of impulse processes with constraints on the image of the control measure”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 12, 9–16 ; Russian Math. (Iz. VUZ), 40:12 (1996), 7–13 |
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1994 |
28. |
V. A. Dykhta, “The variational maximum principle and second-order optimality conditions for impulse processes and singular processes”, Sibirsk. Mat. Zh., 35:1 (1994), 70–82 ; Siberian Math. J., 35:1 (1994), 65–76 |
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1991 |
29. |
V. A. Dykhta, “A variational maximum principle for pulse and singular regimes in an optimization problem that is linear with respect to control”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 11, 89–91 ; Soviet Math. (Iz. VUZ), 35:11 (1991), 89–91 |
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1983 |
30. |
V. A. Dykhta, G. A. Kolokol'nikova, “Minimum conditions on the set of sequences in a degenerate variational problem”, Mat. Zametki, 34:5 (1983), 735–744 ; Math. Notes, 34:5 (1983), 859–863 |
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1981 |
31. |
V. A. Dykhta, “Conditions of loca*l minimum for singular modes in systems with linear control”, Avtomat. i Telemekh., 1981, no. 12, 5–10 ; Autom. Remote Control, 42:12 (1981), 1583–1587 |
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1979 |
32. |
V. A. Dykhta, “Singular modes of a nonlinear system in the case of multiple maxima”, Avtomat. i Telemekh., 1979, no. 2, 16–19 ; Autom. Remote Control, 40:2 (1979), 166–168 |
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1977 |
33. |
V. I. Gurman, V. A. Dykhta, “Singular problems of optimal control and the method of multiple maxima”, Avtomat. i Telemekh., 1977, no. 3, 51–59 ; Autom. Remote Control, 38:3 (1977), 343–350 |
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1976 |
34. |
V. I. Gurman, V. A. Dykhta, “Sufficient conditions for a strong minimum for degenerate optimal control problems”, Differ. Uravn., 12:12 (1976), 2129–2138 |
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2017 |
35. |
V. A. Dykhta, “Scientific achievements of professor V. I. Gurman”, Bulletin of Irkutsk State University. Series Mathematics, 19 (2017), 6–21 |
36. |
A. V. Arguchintsev, I. V. Bychkov, V. A. Baturin, V. A. Dykhta, G. A. Shishkin, “In Memory of Professor Vladimir Iosifovich Gurman (1934–2016)”, Bulletin of Irkutsk State University. Series Mathematics, 19 (2017), 1–5 |
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