Strong and weak measurable optimal controls

Sufficient conditions for weak and strong minima in an optimal control problem of Lagrange are provided. This sufficiency theory is applicable for problems containing fixed end-points, nonlinear dynamics, nonlinear isoperimetric inequality and equality constraints together with nonlinear mixed time-...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 5; pp. 4958 - 4978
Main Author Licea, Gerardo Sánchez
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
calculus of variations
inequality and equality constraints
measurable optimal controls
optimal control
strong minima
sufficiency
weak minima
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Summary:Sufficient conditions for weak and strong minima in an optimal control problem of Lagrange are provided. This sufficiency theory is applicable for problems containing fixed end-points, nonlinear dynamics, nonlinear isoperimetric inequality and equality constraints together with nonlinear mixed time-state-control pointwise inequality and equality restrictions. The presence of purely measurable optimal controls is a fundamental component of this theory.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021291