Theory and methods of optimal control. Solving inverse problems of mathematical physics by optimal control methods. Education problems.
Main publications:
Аrguchintsev A. V. Optimization of boundary and starting controls in multi-dimensional hyperbolic systems // 14th Triennial World Congress of International Federation of Automatic Control, Beijing, China, 1999, Vol. F. P. 135–138.
Arguchintsev A. V., Vasiliev O. V. Towards research of inverse problems of mathematical physics by optimal control methods // Stability and Control: Theory and Applications. 2000. V. 3, no. 3. P. 205–211.
V. A. Srochko, A. V. Arguchintsev, “Parametric regularization of the functional in a linear-quadratic optimal control problem”, Bulletin of Irkutsk State University. Series Mathematics, 49 (2024), 32–44
2.
A. V. Arguchintsev, V. P. Poplevko, “The non-classical optimality condition in the hybrid control problem of hyperbolic and ordinary differential equations with delay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 20:2 (2024), 255–264
2023
3.
Alexander V. Arguchintsev, Vasilisa P. Poplevko, “Optimal control by a cascade system of hyperbolic and ordinary delayed differential equation”, Bulletin of Irkutsk State University. Series Mathematics, 46 (2023), 3–18
4.
A. V. Arguchintsev, V. P. Poplevko, “Variation optimality condition of a boundary control in a composite model of linear differential equations of different types”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023), 3–9
5.
A. V. Arguchintsev, “The variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 19:4 (2023), 540–548
A. V. Arguchintsev, V. P. Poplevko, “Variational optimality condition in a control problem of a linear first-order hyperbolic system with boundary delay”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 212 (2022), 3–9
7.
A. V. Arguchintsev, V. A. Srochko, “Solution of a Linear–Quadratic Problem on a Set of Piecewise Constant Controls with Parameterization of the Functional”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022), 5–16; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S43–S53
A. V. Arguchintsev, V. A. Srochko, “Procedure for regularization of bilinear optimal control problems based on a finite-dimensional model”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:1 (2022), 179–187
A. V. Arguchintsev, V. P. Poplevko, “An optimal control problem by a hyperbolic system with boundary delay”, Bulletin of Irkutsk State University. Series Mathematics, 35 (2021), 3–17
A. V. Arguchintsev, V. P. Poplevko, “Optimal control problem for a hyperbolic system with delay on the boundary in the class of smooth control actions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 183 (2020), 14–21
2016
11.
A. V. Arguchintsev, V. P. Poplevko, “An optimal control problem by parabolic equation in the class of smooth controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 11, 86–90; Russian Math. (Iz. VUZ), 60:11 (2016), 74–77
2015
12.
A. V. Arguchintsev, V. P. Poplevko, “On a control problem by lumped-parameter at the right-hand side of the semi-linear hyperbolic system”, Bulletin of Irkutsk State University. Series Mathematics, 11 (2015), 3–12
2012
13.
A. V. Arguchintsev, V. P. Poplevko, “Optimal control in chemical fractionation problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 8, 53–57; Russian Math. (Iz. VUZ), 56:8 (2012), 44–47
A. V. Arguchintsev, V. P. Poplevko, “Optimization of fractionization process in a tower”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 3, 3–9
2011
15.
A. V. Arguchintsev, V. P. Poplevko, “Optimal control of process of fractionization in a tower”, Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011), 32–41
A. V. Arguchintsev, S. A. Avdonin, V. P. Poplevko, “Optimization of hyperbolic systems with integral constraints for smooth controls”, Bulletin of Irkutsk State University. Series Mathematics, 3:3 (2010), 28–40
A. V. Arguchintsev, V. P. Poplevko, “Optimization of one class of hyperbolic systems with smooth controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7, 71–76; Russian Math. (Iz. VUZ), 53:7 (2009), 60–64
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
A. V. Arguchintsev, V. P. Poplevko, “Variational optimality condition in the problem of control of initial boundary conditions for semilinear hyperbolic systems”, Avtomat. i Telemekh., 2008, no. 4, 17–28; Autom. Remote Control, 69:4 (2008), 559–569
20.
A. V. Arguchintsev, V. P. Poplevko, “Optimal control of the initial conditions of a first-order canonical hyperbolic system on the basis of nonstandard increment formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1, 3–10; Russian Math. (Iz. VUZ), 52:1 (2008), 1–7
A. V. Arguchintsev, “Optimization of hyperbolic systems with integral constraints on the boundary controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 1, 10–17; Russian Math. (Iz. VUZ), 48:1 (2004), 8–15
A. V. Arguchintsev, “Optimization of hyperbolic systems with controlled initial-boundary conditions in the form of differential constraints”, Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004), 287–296; Comput. Math. Math. Phys., 44:2 (2004), 268–277
A. V. Arguchintsev, “A nonclassical optimality condition in a problem of population control with age distribution”, Zh. Vychisl. Mat. Mat. Fiz., 43:11 (2003), 1659–1665; Comput. Math. Math. Phys., 43:11 (2003), 1597–1603
2002
24.
A. V. Arguchintsev, “Solution of the problem of the optimal control of initial-boundary conditions of a hyperbolic system based on exact increment formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 12, 23–29; Russian Math. (Iz. VUZ), 46:12 (2002), 21–27
A. V. Arguchintsev, O. A. Krutikova, “Optimization of semilinear hyperbolic systems with smooth boundary controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2, 3–12; Russian Math. (Iz. VUZ), 45:2 (2001), 1–9
A. V. Arguchintsev, O. V. Vasiliev, “Iterative processes of the maximum principle and their modifications in systems with distributed parameters”, Differ. Uravn., 32:6 (1996), 797–803; Differ. Equ., 32:6 (1996), 803–809
A. V. Arguchintsev, “A nonclassical condition for optimality in the problem of the control of boundary conditions of a semilinear hyperbolic system”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 1, 3–11; Russian Math. (Iz. VUZ), 38:1 (1994), 1–8
V. G. Antonik, A. V. Arguchintsev, “To the 75th anniversary of the birth of professor V. A. Srochko”, Bulletin of Irkutsk State University. Series Mathematics, 34 (2020), 126–134
2019
29.
A. V. Arguchintsev, V. A. Srochko, “On the occasion of the 80th birthday of professor O. V. Vasiliev (1939–2002)”, Bulletin of Irkutsk State University. Series Mathematics, 30 (2019), 141–150
2017
30.
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
2016
31.
A. V. Arguchintsev, V. A. Srochko, V. V. Al'sevich, N. M. Dmitruk, A. I. Kalinin, “Rafail Gabasov — on the occasion of the 80th birthday”, Bulletin of Irkutsk State University. Series Mathematics, 15 (2016), 108–120
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