position control at neutral disturbance, the risk-optimal control
Main publications:
Serkov D.A., “O neuluchshaemosti strategii s polnoi pamyatyu v zadachakh optimizatsii garantirovannogo rezultata”, Trudy IMM UrO RAN, 20:3 (2014), 204–217
Serkov D.A., “Minimizatsiya riska pri funktsionalnykh ogranicheniyakh na dinamicheskuyu pomekhu”, Izvestiya Instituta matematiki i informatiki UdGU, 44:2 (2014), 3–95
A. G. Chentsov, D. A. Serkov, “Continuous dependence of sets in a space of measures and a program minimax problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024), 277–299; Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S76–S98
2.
D. A. Serkov, “On the construction of partially non-anticipative multiselector and its application to dynamic optimization problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:3 (2024), 410–434
2022
3.
D. A. Serkov, “Transfinite Version of the Program Iteration Method in a Game Problem of Approach for an Abstract Dynamical System”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022), 176–187; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S218–S228
2021
4.
M. I. Gomoyunov, D. A. Serkov, “On guarantee optimization in control problem with finite set of disturbances”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021), 613–628
D. A. Serkov, “On a representation of the solvability set in the retention problem”, Russian Universities Reports. Mathematics, 25:131 (2020), 290–298
6.
M. I. Gomoyunov, D. A. Serkov, “Non-anticipative strategies in guarantee optimization problems under functional constraints on disturbances”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020), 553–571
D. A. Serkov, A. G. Chentsov, “On the Construction of a Nonanticipating Selection of a Multivalued Mapping”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019), 232–246; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S125–S138
D. A. Serkov, A. G. Chentsov, “On the existence of a non-anticipating selection of non-anticipating multivalued mapping”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 717–725
2017
10.
D. A. Serkov, “On the construction of a predicate truth set”, Izv. IMI UdGU, 50 (2017), 45–61
M. I. Gomoyunov, D. A. Serkov, “Control with a guide in the guarantee optimization problem under functional constraints on the disturbance”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017), 82–94; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 49–60
D. A. Serkov, “Transfinite sequences in the method of programmed iterations”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017), 228–240; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 153–164
D. A. Serkov, “Unlocking of predicate: application to constructing a non-anticipating selection”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:2 (2017), 283–291
D. A. Serkov, A. G. Chentsov, “Implementation of the programmed iterations method in packages of spaces”, Izv. IMI UdGU, 2016, no. 2(48), 42–67
15.
D. A. Serkov, “An approach to analysis of the set of truth: unlocking of predicate”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016), 525–534
D. A. Serkov, A. G. Chentsov, “The elements of the operator convexity in the construction of the programmed iteration method”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016), 82–93
D. A. Serkov, “On approximation of joint fixed points”, J. Comp. Eng. Math., 2:4 (2015), 67–72
19.
D. A. Serkov, A. G. Chentsov, “Programmed iteration method and operator convexity in an abstract retention problem”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:3 (2015), 348–366
D. A. Serkov, “Risk minimization under functional constraints on the dynamic disturbance”, Izv. IMI UdGU, 2014, no. 2(44), 3–95
21.
D. A. Serkov, “On the unimprovability of full-memory strategies in problems of guaranteed result optimization”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014), 204–217; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 157–172
D. A. Serkov, “On the unimprovability of full memory strategies in the risk minimization problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013), 222–230; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 175–184
D. A. Serkov, “On the Model Motions in Control Problem with Functional Constraints on Disturbances”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:2 (2013), 62–73
2012
26.
Dmitry A. Serkov, “Guaranteed control under functionally restricted disturbances”, Mat. Teor. Igr Pril., 4:2 (2012), 71–95
D. A. Serkov, “On some properties of the control problem under a program interference in a formalization based on the minimax risk (regret) criterion”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 140–151; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S152–S164
29.
D. A. Serkov, “On a property of the constructive motions. II”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 64–69
D. A. Serkov, “Minimax risk (regret) strategy for one class of control problems under dynamic disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:2 (2008), 192–200; Proc. Steklov Inst. Math. (Suppl.), 263, suppl. 2 (2008), S202–S211
D. A. Serkov, “Minimax risk (regret) strategy for control problems for the system under dynamic disturbances”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 132–135
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