ON THE EXISTENCE OF SOLUTIONS TO A CLASS OF OPTIMAL CONTROL PROBLEMS

被引：0

作者：

Kien, Bui trong ^{[1
]}

Qui, Nguyen thanh ^{[2
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Dept Optimizat & Control Theory, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam

[2] Can Tho Univ, Coll Nat Sci, Dept Math, Campus 2 3-2 St, Can Tho, Vietnam

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 12期

关键词：

Optimal control; existence of solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of optimal control problems governed by ordinary differential equations with control constraint and end-point constraint is considered. We prove a result on the existence of optimal solutions for the case where the state equation is nonlinear in both control and state variable. It is showed that when the state equation is nonlinear in control variable, the standard arguments are not applicable. To overcome this difficulty, we use the measurable selection theorem in order to build an optimal control function.

引用

页码：2949 / 2958

页数：10

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