Weak Measurable Optimal Controls for the Problems of Bolza

Weak Measurable Optimal Controls for the Problems of Bolza

Two sufficiency theorems for parametric and a nonparametric problems of Bolza in optimal control are derived. The dynamics of the problems are nonlinear, the initial and final states are free, and the main results can be applied when nonlinear mixed time-state-control inequality and equality constra...

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Bibliographic Details
Main Author: Gerardo Sánchez Licea
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
calculus of variations
optimal control
mixed restraints
inequality and equality restrictions
free initial and final states
sufficient conditions
Online Access:https://www.mdpi.com/2227-7390/9/2/191
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spelling doaj-d8e42db7a70b4be4b5f0cb56c7a8cccc2021-01-20T00:03:11ZengMDPI AGMathematics2227-73902021-01-01919119110.3390/math9020191Weak Measurable Optimal Controls for the Problems of BolzaGerardo Sánchez Licea0Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad de México 04510, MexicoTwo sufficiency theorems for parametric and a nonparametric problems of Bolza in optimal control are derived. The dynamics of the problems are nonlinear, the initial and final states are free, and the main results can be applied when nonlinear mixed time-state-control inequality and equality constraints are presented. The deviation between admissible costs and optimal costs around the optimal control is estimated by functionals playing the role of the square of some norms.https://www.mdpi.com/2227-7390/9/2/191calculus of variationsoptimal controlmixed restraintsinequality and equality restrictionsfree initial and final statessufficient conditions
collection DOAJ
language English
format Article
sources DOAJ
author Gerardo Sánchez Licea
spellingShingle Gerardo Sánchez Licea
Weak Measurable Optimal Controls for the Problems of Bolza
Mathematics
calculus of variations
optimal control
mixed restraints
inequality and equality restrictions
free initial and final states
sufficient conditions
author_facet Gerardo Sánchez Licea
author_sort Gerardo Sánchez Licea
title Weak Measurable Optimal Controls for the Problems of Bolza
title_short Weak Measurable Optimal Controls for the Problems of Bolza
title_full Weak Measurable Optimal Controls for the Problems of Bolza
title_fullStr Weak Measurable Optimal Controls for the Problems of Bolza
title_full_unstemmed Weak Measurable Optimal Controls for the Problems of Bolza
title_sort weak measurable optimal controls for the problems of bolza
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-01-01
description Two sufficiency theorems for parametric and a nonparametric problems of Bolza in optimal control are derived. The dynamics of the problems are nonlinear, the initial and final states are free, and the main results can be applied when nonlinear mixed time-state-control inequality and equality constraints are presented. The deviation between admissible costs and optimal costs around the optimal control is estimated by functionals playing the role of the square of some norms.
topic calculus of variations
optimal control
mixed restraints
inequality and equality restrictions
free initial and final states
sufficient conditions
url https://www.mdpi.com/2227-7390/9/2/191
work_keys_str_mv AT gerardosanchezlicea weakmeasurableoptimalcontrolsfortheproblemsofbolza
_version_ 1724331659927486464

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