Application of optimal control theory in finance and economy

Abstract

The aim of current master thesis is to give the appropriate knowledge for the full understanding of models used in the optimization of the economical processes. A comparison was made of whether the size of the company influences the order of the solution and its general look. Now it’s known that both huge and tiny companies, as well as individuals, who are about to make some investment decision, and use optimal control theory for the optimization of their activity. The model of the optimal economic growth can easily find its use in real economic and experience various improvements and extensions. There might be derived the unified models for groups of typical cases, as we can say that all decisions to be made can be summed under one variable.