Weak Local Extrema in Infinite Horizon Optimal Control Problems

Abstract

In this paper we deal with infinite horizon optimal control problems. Basing on weak variations in an extremal problem in weighted function spaces we prove necessary conditions in form of the adjoint equation and a variational inequality. The obtained optimality conditions imply several transversality conditions and the validity of Mangasarian type sufficiency conditions. Arising difficulties in the presence of state constraints are discussed.

arXiv comment47 pages, in german, revised. arXiv admin note: text overlap with arXiv:1508.02340