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
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 09期
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.
引用
收藏
页码：1939 / 1973
页数：35
相关论文
共 50 条
  • [31] RAMSEY-TYPE PROPERTIES OF RELATIONAL STRUCTURES
    ELZAHAR, M
    SAUER, NW
    DISCRETE MATHEMATICS, 1991, 94 (01) : 1 - 10
  • [32] NOTE ON A RAMSEY-TYPE PROBLEM IN GEOMETRY
    CSIZMADIA, G
    TOTH, G
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1994, 65 (02) : 302 - 306
  • [33] Ramsey-type Theorems with Forbidden Subgraphs
    Noga Alon
    János Pach
    József Solymosi
    Combinatorica, 2001, 21 : 155 - 170
  • [34] Attosecond optical and Ramsey-type interference
    Matsubara, Takuya
    Nabekawa, Yasuo
    Ishikawa, Kenichi L.
    Yamanouchi, Kaoru
    Midorikawa, Katsumi
    2021 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE & EUROPEAN QUANTUM ELECTRONICS CONFERENCE (CLEO/EUROPE-EQEC), 2021,
  • [35] Ramsey-Type Theorem for Spatial Graphs
    Seiya Negami
    Graphs and Combinatorics, 1998, 14 : 75 - 80
  • [36] A note on a Ramsey-type problem for sequences
    Dudek, Andrzej
    ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21 (03):
  • [37] Colouring of graphs with Ramsey-type forbidden subgraphs
    Dabrowski, Konrad K.
    Golovach, Petr A.
    Paulusma, Daniel
    THEORETICAL COMPUTER SCIENCE, 2014, 522 : 34 - 43
  • [38] A new lower, bound for a Ramsey-type problem
    Sudakov, B
    COMBINATORICA, 2005, 25 (04) : 487 - 498
  • [39] SOME RAMSEY-TYPE NUMBERS AND THE INDEPENDENCE RATIO
    STATON, W
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 256 (DEC) : 353 - 370
  • [40] Ramsey-Type Results for Unions of Comparability Graphs
    Adrian Dumitrescu
    Géza Tóth
    Graphs and Combinatorics, 2002, 18 : 245 - 251
12345