Optimal control in mathematical state model
V.K. Zakharov1, O. A. Kuzenkov2
| Annotation | 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 |
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| 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 |
1Professor of Theoretical Computer Science chair, Lobachevsky State University, Nizhni Novgorod; zakharov{_)valeriy{@)list.ru
2Associate Professor of numerical and functional analysis chair, Lobachevsky State University, Nizhni Novgorod; kuzenkov{_)o@mail.ru
Citation: V.K. Zakharov, O. A. Kuzenkov, "[Optimal control in mathematical state model]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:2 (2015) 34–38 (In Russian)
