%0 Journal Article %T A Study on State Constraint Optimal Control Problems %A Jinghao Zhu %J Open Access Library Journal %V 11 %N 9 %P 1-9 %@ 2333-9721 %D 2024 %I Open Access Library %R 10.4236/oalib.1112066 %X 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.  %K State Constraint Optimal Control %K Partial Differential Equations %K Extremal Flow %K Differential-Algebraic Equation %U http://www.oalib.com/paper/6833760