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TitleNormal forms of necessary conditions for dynamic optimization problems with pathwise inequality constraints
Author(s)Fontes, Fernando A. C. C.
Lopes, Sofia Oliveira
KeywordsOptimal control
Maximum principle
State constraints
Calculus of variations
Nonsmooth analysis
Issue date2013
JournalJournal of Mathematical Analysis and Applications
Abstract(s)There has been a longstanding interest in deriving conditions under which dynamic optimization problems are normal, that is, the necessary conditions of optimality (NCO) can be written with a nonzero multiplier associated with the objective function. This paper builds upon previous results on nondegenerate NCO for trajectory constrained optimal control problems to provide even stronger, normal forms of the conditions. The NCO developed may address problems with nonsmooth, less regular data. The particular case of calculus of variations problems is here explored to show a favorable comparison with existent results.
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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