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has been cited by the following article:

• TITLE: A Study on State Constraint Optimal Control Problems

  AUTHORS: Jinghao Zhu

  KEYWORDS: State Constraint Optimal Control, Partial Differential Equations, Extremal Flow, Differential-Algebraic Equation

  JOURNAL NAME: Open Access Library Journal, Vol.11 No.9, September 6, 2024

  ABSTRACT: In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal objective value of constraint optimal control problems. We prove a convergent theorem for an approximation approach to the optimal objective value of a state-constraint optimal control problem.