@PhDThesis{Pinto:1991:DeCoNe,
author = "Pinto, Ricardo Luiz Utsch de Freitas",
title = "Dedu{\c{c}}{\~a}o de condi{\c{c}}{\~o}es necess{\'a}rias para
a solu{\c{c}}{\~a}o de problemas de controle {\'o}timo com
din{\^a}mica fracionada e restri{\c{c}}{\~o}es
n{\~a}o-diferenciais",
school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
year = "1991",
address = "S{\~a}o Jos{\'e} dos Campos",
month = "1991-02-27",
keywords = "engenharia e tecnologia espaciais, controle {\'o}timo,
din{\^a}mica fracionada, restri{\c{c}}{\~a}o
n{\~a}o-diferenciada.",
abstract = "Um conjunto de condi{\c{c}}{\~o}es necess{\'a}rias {\'e}
deduzido para a solu{\c{c}}{\~a}o de uma classe de problemas de
controle {\'o}timo bastante gen{\'e}rica. A dedu{\c{c}}{\~a}o
{\'e} feita paulatinamente, iniciando-se com a
solu{\c{c}}{\~a}o de um problema b{\'a}sico de controle
{\'o}timo envolvendo restri{\c{c}}{\~o}es de contorno do tipo
misto, para sucessivamente analisar a presen{\c{c}}a de
restri{\c{c}}{\~o}es de contorno m{\'u}ltiplo e
restri{\c{c}}{\~o}es n{\~a}o-diferenciais, culminando na
solu{\c{c}}{\~a}o de um problema rotulado como problema de
controle {\'o}timo com din{\^a}mica fracionada. A
dedu{\c{c}}{\~a}o {\'e} feita tendo como princ{\'{\i}}pio um
teorema de fun{\c{c}}{\~a}o impl{\'{\i}}cita, e combina
id{\'e}ias de autores anteriores, acrescidas de particularidades
pr{\'o}prias do presente desenvolvimento. Aspectos did{\'a}ticos
e de s{\'{\i}}ntese da metodologia de dedu{\c{c}}{\~a}o
s{\~a}o levados em considera{\c{c}}{\~a}o, de modo que o
trabalho oferece n{\~a}o apenas um conjunto de
condi{\c{c}}{\~o}es necess{\'a}rias propriamente dito, mas
tamb{\'e}m uma rotina para a dedu{\c{c}}{\~a}o de
condi{\c{c}}{\~o}es necess{\'a}rias. Isto pode vir a ser
{\'u}til, seja na solu{\c{c}}{\~a}o de outras classes de
problemas, seja na obten{\c{c}}{\~a}o de solu{\c{c}}{\~o}es
num{\'e}ricas. Exemplos enfocando aspectos diversos s{\~a}o
resolvidos. Espera-se que o trabalho seja de utilidade n{\~a}o
somente para a solu{\c{c}}{\~a}o de problemas relacionados
{\`a} tecnologia espacial, mas tamb{\'e}m em outras {\'a}reas
de aplica{\c{c}}{\~a}o. ABSTRACT: A set of necessary conditions
for the solution of a very general class of optimal control
problems is derived. This process is performed in a gradual
manner, starting with an ordinary problem of optimal control with
mixed-boundary constraints, going through the analysis of
multi-boundary constraints and non-differential constraints, and
culminating with the solution of a problem here described as
{{{{"}optimal}}} fractioned-dynamics control {{problem\{"}.}} The
derivation is based in an implicit function theorem, and combine
ideas of some of the previous works with those of the author.
Didactic aspects of the deduction methodology are considered,
enabling the work to be used as a necessary conditions deduction
routine, instead of just posing a set of necessary conditions
properly speaking. This can be useful in the derivation of other
classes of optimal problems, or in practical problems where a
numerical soluction is required. Examples focusing many aspects
are solved. It is hoped that this work proves to be useful for the
solution of space technology problems, as well as for applications
in other areas.",
committee = "Martins Neto, Antonio Felix (presidente) and Rios Neto, Atair
(orientador) and Fran{\c{c}}a, Luiz Novaes Ferreira and Geromel,
Jos{\'e} Cl{\'a}udio and Fleury, Agenor de Toledo and Souza,
Marcelo Lopes de Oliveira e",
copyholder = "SID/SCD",
englishtitle = "Necessary conditions derivation for the solution of optimal
control problems with fractioned-dynamics and non-differential
constraints",
language = "pt",
pages = "204",
ibi = "8JMKD3MGP3W34P/3PT83J2",
url = "http://urlib.net/ibi/8JMKD3MGP3W34P/3PT83J2",
targetfile = "publicacao.pdf",
urlaccessdate = "08 maio 2024"
}