Necessary conditions of optimality for impulsive control problems with state constraints

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 conside...

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Bibliographic Details
Main Author: Jorge Morais Leite (author)
Other Authors: Fernando Lobo Pereira (author)
Format: book
Language:eng
Published: 2007
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/71636
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/71636
Description
Summary: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.