Condições de otimalidade para controle ótimo via formalismo de Dubovitskii-Milyutin

• Ano de defesa: 2016
• Autor(a) principal: Marcavillaca, Raul Tintaya [UNESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Estadual Paulista (Unesp)
• Palavras-chave em Português: Optimality conditions; Dubovitskii and Milyutin formalism; Maximum principle; Generalized invexity; Condições de otimalidade; Formalismo de Dubovitskii-Miyutin; Princípio do máximo; Invexidade generalizada
• Link de acesso: http://hdl.handle.net/11449/137875

The purpose of this work is the study of necessary and sufficient conditions of optimality for optimal control problem including the study of the Maximum Principle and generalized convexity. The necessary conditions given by the Pontryagin Maximum Principle are obtained by means of the Dubovitski and Milyutin formalism, which allows to determine, using the language of functional analysis, necessary optimality conditions for a class of extreme problems. The sufficient conditions of optimality are given by introducing the notion of generalized invexity suitable to the problem, which we will call PM-pseudo-invexity.