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
Description
Summary: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.
ISSN:2227-7390

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