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.