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

Marcus Wagner

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Submission date: 23. May. 2002 (revised version: May 2002)
Pages: 14
Bibtex
MSC-Numbers: 49N15, 49K20
Keywords and phrases: multidimensional control problems, lagrange multiplier rule, regularization of nonconvex problems
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Abstract:
Based on a theorem of Ioffe/Tichomirov, an -maximum principle for nonconvex multidimensional control problems is proved. In application to Dieudonné-Rashevsky type problems, the -optimality conditions known before are reproduced, and an additional complementarity condition is observed.