Second-order Necessary Optimality Conditions for an Optimal Control Problem

被引：3
|
作者：
Toan Nguyen [1 ]
Thuy Le [1 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 01期
关键词：
first-order optimality condition; second-order optimality condition; optimal control problem; mixed constraint; DISCRETE OPTIMAL-CONTROL; SUFFICIENT CONDITIONS; MAXIMUM PRINCIPLE; SET; SUBGRADIENTS; REGULARITY; STABILITY; CONVEXITY;
D O I：
10.11650/tjm/190403
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Second-order necessary optimality conditions for an optimal control problem with a nonconvex cost function and state-control constraints are studied in this paper. By establishing an abstract result on second-order necessary optimality conditions for a mathematical programming problem, we obtain second-order necessary optimality conditions for an optimal control problem.
引用
收藏
页码：225 / 264
页数：40
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