TITLE:
On Global Minimization for the Value Function in Affine Optimal Control Problems
AUTHORS:
Jinghao Zhu
KEYWORDS:
Global Minimization, Value Function, Affine Optimal Control, Regularity, Extremal Flow, Riccati Differential Equation
JOURNAL NAME:
Open Access Library Journal,
Vol.10 No.7,
July
19,
2023
ABSTRACT: 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.