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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.

Received:
May 23, 2002
Published:
May 23, 2002
MSC Codes:
49N15, 49K20
Keywords:
multidimensional control problems, lagrange multiplier rule, regularization of nonconvex problems

Related publications

Preprint
2002 Repository Open Access
Marcus Wagner

Application of a result of Ioffe/Tichomirov to multidimensional control problems of Dieudonné-Rashev sky type