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On the sufficiency of Pontryagin's maximum principle

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Detalhes bibliográficos
Resumo:This work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for almost all instants of time and the behavior of adjoint variables is rather regular. Several examples are presented to illustrate such suf- ficient condition.
Autores principais:Ferreira, M. Margarida A.
Outros Autores:Smirnov, Georgi
Assunto:Pontryagin’s maximum principle Sufficient condition
Ano:2016
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 work focus on sufficient conditions of optimality for an optimal control problem. A refined maximum principle condition which guarantees weak local optimality of control processes for affine control systems with a polyhedral set of controls is introduced. This refined maximum principle condition expresses that the control is uniquely de- fined for almost all instants of time and the behavior of adjoint variables is rather regular. Several examples are presented to illustrate such suf- ficient condition.