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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