05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Keywords:
modeling,
control,
differential games.
UDC:
517.977.5, 519.86, 517.977.58
Subject:
mathematical modeling, optimal control, differential games
Main publications:
A. A. Krasovskii, A. M. Tarasev, “Svoistva gamiltonovykh sistem v printsipe maksimuma Pontryagina dlya zadach ekonomicheskogo rosta”, Optimalnoe upravlenie, Sbornik statei. K 60-letiyu so dnya rozhdeniya professora Viktora Ivanovicha Blagodatskikh, Tr. MIAN, 262, MAIK, M., 2008, 127–145; Proc. Steklov Inst. Math., 262 (2008), 121–138
A. A. Krasovskii, A. M. Tarasev, “Dinamicheskaya optimizatsiya investitsii v modelyakh ekonomicheskogo rosta”, Avtomat. i telemekh., 2007, № 10, 38–52; Autom. Remote Control, 68:10 (2007), 1765–1777
A. A. Krasovskiy, A. S. Platov, “Algorithm for Solving a Problem of Optimal Control of Structured Populations Interacting at Stationary States”, Trudy Mat. Inst. Steklova, 315 (2021), 151–159; Proc. Steklov Inst. Math., 315 (2021), 140–148
2017
2.
A. A. Krasovskii, A. S. Platov, “Bilinear optimal control problem of a discrete logging”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017), 188–194
3.
A. A. Krasovskii, P. D. Lebedev, A. M. Tarasyev, “Bernoulli substitution in the Ramsey model: Optimal trajectories under control constraints”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 768–782; Comput. Math. Math. Phys., 57:5 (2017), 770–783
A. A. Krasovskii, P. D. Lebedev, A. M. Tarasyev, “Some facts about the Ramsey model”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016), 160–168; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 123–131
2015
5.
A. A. Krasovskii, “Application of optimal control to a biomechanics model”, Trudy Mat. Inst. Steklova, 291 (2015), 128–137; Proc. Steklov Inst. Math., 291 (2015), 118–126
2012
6.
A. A. Krasovskii, A. N. Krasovskii, “Nonlinear positional differential game in the class of mixed strategies”, Trudy Mat. Inst. Steklova, 277 (2012), 144–151; Proc. Steklov Inst. Math., 277 (2012), 137–143
A. A. Krasovskii, A. M. Taras'ev, “Construction of nonlinear regulators in economic growth models”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009), 127–138; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S143–S154
A. A. Krasovskii, A. M. Tarasyev, “Properties of Hamiltonian Systems in the Pontryagin Maximum Principle for Economic Growth Problems”, Trudy Mat. Inst. Steklova, 262 (2008), 127–145; Proc. Steklov Inst. Math., 262 (2008), 121–138
A. A. Krasovskii, A. M. Tarasyev, “Optimization of the stopping time in multilevel dynamic systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 63–64
2007
10.
A. A. Krasovskii, A. M. Tarasyev, “Dynamic optimization of investments in the economic growth models”, Avtomat. i Telemekh., 2007, no. 10, 38–52; Autom. Remote Control, 68:10 (2007), 1765–1777
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