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Sufficiency of the Pontryagin Maximum Principle for L1 Minimizers and Affine Control Systems

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Detalhes bibliográficos
Resumo:This paper follows a previous work where a re ned maximum princi- ple condition is introduced to guarantee L1 local optimality of control processes for affine control systems with a polyhedral set of controls. Here we consider a different strengthened maximum principle condition that allows to extend the class of control processes and obtain sufficient conditions for a local minimizer in L1 sense.
Autores principais:Ferreira, M. Margarida
Outros Autores:Smirnov, Georgi
Assunto:Pontryagin maximum principle Sufficient conditions Ciências Naturais::Matemáticas
Ano:2019
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:This paper follows a previous work where a re ned maximum princi- ple condition is introduced to guarantee L1 local optimality of control processes for affine control systems with a polyhedral set of controls. Here we consider a different strengthened maximum principle condition that allows to extend the class of control processes and obtain sufficient conditions for a local minimizer in L1 sense.