Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations

被引：1

作者：

Chen, Yi ^{[1
]}

Meng, Kaixuan ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Optimal control; Non-instantaneous impulse; Stability analysis; EXISTENCE; CONTROLLABILITY; SYSTEMS;

D O I：

10.1186/s13662-020-02919-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and stability of solutions for a class of optimal control problems with 1-mean equicontinuous controls, and the corresponding state equation is described by non-instantaneous impulsive differential equations. The existence theorem is obtained by the method of minimizing sequence, and the stability results are established by using the related conclusions of set-valued mappings in a suitable metric space. An example with the measurable admissible control set, in which the controls are not continuous, is given in the end.

引用

页数：17