On the structural representation of S-homogenized optimal control problems

Abstract

The aim of this paper is an application of variational S-convergence [1-3] to homogenization theory of optimal control problems and to explore the structure of homogenized problems. We have proved the existence of strongly S-homogenized optimal control problems for a family of nonlinear systems with distributed parameters, have derived some important properties which will be use in future and give the formula for representation of homogenized problems.