OF SINGULARLY PERTURBED PROBLEMS OF THE OPTIMALMANAGEMENT

Abstract

The paper considers a singularly perturbed optimal control problem. Optimal control constraints imposed on rapidly and slowly varying variables are shown. The features of optimal control in regular and boundary domains are considered. As a result, we will compose a functional and study it based on the maximum principle. The boundary layer is studied using the composite decomposition method. To clarify the study on a specific example, the theory of optimal control for the unperturbed problem is investigated. The application of the features of the Pontryagin maximum principle to the study of a singular problem of optimal control is taken into account.