This article is cited in 1 paper

Optimal control

Optimal control synthesis in a Ramsey-type model

N. V. Trusov^ab, A. A. Shananin<sup>abc

a</sup> Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119333, Moscow, Russia
^b Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia
^c Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia

Abstract: A mathematical description of the economic behavior of a representative household in an imperfect market of consumer loans and deposits is studied. The model is formalized as a finite-horizon optimal control problem. A classification of the behavior of social layers depending on market condition parameters is obtained. An infinite-horizon optimal control synthesis is constructed.

Key words: Ramsey type model, imperfect consumer credit market, synthesis of optimal control, maximum principle, mathematical modeling.

UDC: 519.86

Received: 06.03.2024
Revised: 06.03.2024
Accepted: 31.05.2024

DOI: 10.31857/S0044466924090052

 English version: Computational Mathematics and Mathematical Physics, 2024, 64:9, 1939–1973

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