Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/11230

TitleOn the degeneracy of optimality conditions for control problems with set-inclusion constraints
Author(s)Lopes, Sofia Oliveira
Fontes, Fernando A. C. C.
KeywordsOptimal control
Maximum principle
State constraints
Nonsmooth
Degeneracy phenomenon
Issue date8-Sep-2010
CitationPORTUGUESE CONFERENCE ON AUTOMATIC CONTROL, 9, Coimbra, Portugal, 2010 – “CONTROLO'2010 : proceedings of the 9 th Portuguese Conference on Automatic Control.” [Coimbra : Faculdade de Ciências e Tecnologias da Universidade de Coimbra, 2010]. p. 374-379.
Abstract(s)In this paper, we provide first order necessary conditions of optimality for nonlinear control problems with endpoint and pathwise state constraints in the form of set inclusions. We are interested in strengthened forms of the optimality conditions that are able to avoid the degeneracy phenomenon. We discuss how previous results involving functional inequality pathwise state constraints and fixed initial state might be extended to cover the problems with constraints in the form of set inclusions. The time symmetry of such formulation enables one to immediately established a strengthened form of the maximum principle that, under suitable constraint qualifications, can avoid both left and rightendpoints degeneracy.
TypeConference paper
URIhttp://hdl.handle.net/1822/11230
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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