We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
43/2002
Application of a result of Ioffe/Tichomirov to multidimensional control problems of Dieudonné-Rashevsky type
Marcus Wagner
Abstract
Based on a theorem of Ioffe/Tichomirov, an $\varepsilon$-maximum principle for nonconvex multidimensional control problems is proved. In application to Dieudonn\'e-Rashevsky type problems, the $\varepsilon$-optimality conditions known before are reproduced, and an additional complementarity condition is observed.