Necessary conditions of optimality for impulsive control problems with state constraints

• Autor(a) principal: Jorge Morais Leite
• Data de Publicação: 2007
• Outros Autores: Fernando Lobo Pereira
• Tipo de documento: Livro
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: https://repositorio-aberto.up.pt/handle/10216/71636
• topic: Ciências Tecnológicas, Engenharia electrotécnica, electrónica e informática; Technological sciences, Electrical engineering, Electronic engineering, Information engineering

This article concerns necessary conditions of optimality for impulsive control problems with dynamics given by measure driven differential inclusions or controlled differential equations and featuring both state and control constraints. We address a paradigm more general than the one usually considered in the literature since, here, the singular dynamics may depend on both the state and the control variables. One key feature of our optimality conditions consists in the fact that we consider problems which, besides the more common pointwise control and endpoint constraints, also exhibit state constraints.