Weak Measurable Optimal Controls for the Problems of Bolza

Sánchez Licea, Gerardo (2021) Weak Measurable Optimal Controls for the Problems of Bolza. Mathematics, 9 (2). p. 191. ISSN 2227-7390

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: calculus of variations; optimal control; mixed restraints; inequality and equality restrictions; free initial and final states; sufficient conditions; weak minima; measurable optimal controls
Subjects: STM Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 27 Apr 2023 04:46
Last Modified: 22 Oct 2024 04:25
URI: http://classical.goforpromo.com/id/eprint/1601

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