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Optimal Control Synthesis in a Ramsey-Type Model
被引:0
|作者:
Trusov, N. V.
[1
,2
]
Shananin, A. A.
[1
,2
,3
]
机构:
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
[2] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
[3] Natl Res Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow, Russia
基金:
俄罗斯科学基金会;
关键词:
Ramsey-type model;
imperfect consumer loan market;
optimal control synthesis;
maximum principle;
mathematical modeling;
D O I:
10.1134/S0965542524701112
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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.
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页码:1939 / 1973
页数:35
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