Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality

被引：5

作者：

Wang, Zhong-bao ^{[1
]}

Chen, Zi-li ^{[1
]}

Chen, Zhang-you ^{[1
]}

Yao, Si-sheng ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Dept Math, Chengdu 611756, Sichuan, Peoples R China

[2] Kunming Univ, Dept Math, Kunming 650221, Yunnan, Peoples R China

来源：

OPTIMIZATION LETTERS | 2018年 / 12卷 / 06期

关键词：

Optimal control; Mixed quasi-variational inequality; Zero duality gap; Nonlinear Lagrangian function;

D O I：

10.1007/s11590-017-1179-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper studies an optimal control problem where the state of the system is defined by a mixed quasi-variational inequality. Several sufficient conditions for the zero duality gap property between the optimal control problem and its nonlinear dual problem are obtained by using nonlinear Lagrangian methods. Our results are applied to an example where the mixed quasi-variational inequality leads to a bilateral obstacle problem.

引用

页码：1357 / 1371

页数：15

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