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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 2, Pages 34–38 (Mi svmo533)

Optimal control in mathematical state model

V. K. Zakharova, O. A. Kuzenkovb

a Lomonosov Moscow State University
b N. I. Lobachevski State University of Nizhni Novgorod

Abstract: Some mathematical model of a state is constructed in the form of a system of seven differential equations with eight controlling parameters. It is based on some general aggregated model of a state in broad meaning (close to the word «country»), on some notion of a real cost of wealth, and on some theory of money as a weapon of state administration. The optimization problem of finding the optimal controls under varies quality functionals is considered for this system. In the capacity of a concrete case the problem of guaranteeing the maximum of the joint final wealth of a state is considered. The explicit analytical solution of the obtained optimization problem is presented

Keywords: The state in broad meaning, the general model of the state, a real cost of wealth, money as a weapon of state administration, the mathematical model of the state, the economic system of the state with the basic use of the loan income, optimization problem, optimal control, analytical solution.

UDC: 517.9

Received: 17.07.2015



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