%0 Journal Article
%T On Global Minimization for the Value Function in Affine Optimal Control Problems
%A Jinghao Zhu
%J Open Access Library Journal
%V 10
%N 7
%P 1-16
%@ 2333-9721
%D 2023
%I Open Access Library
%R 10.4236/oalib.1110408
%X In this paper we provide a computational approach to a minimization problem for the value function associated with an affine optimal control problem subject to terminal-constraint with quadratic cost plus a potential, for a fixed final time and initial point. We study the global minimization problem of the value function over the attainable set and the regularity properties of the value function at a global minimizer point. On the other hand, in the global minimization of the value function, by an example in this computational approach, we also focus on a numerical method by Riccati matrix differential equations.
%K Global Minimization
%K Value Function
%K Affine Optimal Control
%K Regularity
%K Extremal Flow
%K Riccati Differential Equation
%U http://www.oalib.com/paper/6798945