Optimal control and feedback control for nonlinear impulsive evolutionary equations

被引：0
|
作者：
Yin, Bin [1 ]
Zeng, Biao [1 ]
机构：
[1] Guangxi Minzu Univ, Ctr Appl Math Guangxi, Sch Math & Phys, Nanning 530006, Peoples R China
来源：
QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Impulsive evolutionary equation; existence; optimal control; feedback control; weakly continuous operator; VARIATIONAL-HEMIVARIATIONAL INEQUALITIES;
D O I：
10.2989/16073606.2023.2228548
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study the existence, optimal control and feedback control for a class of nonlinear impulsive evolution equations involving weakly continuous operators. We first obtain the existence result of the evolution equation without impulse in any subinterval by Rothe method, and construct a solution of impulsive evolution equation by using this result. Moreover, we obtain the existence of optimal control pairs for the optimal control problem and feasible pairs for the feedback control system by establishing several su fficient assumptions. An application on a quasistatic frictional contact problem is provided.
引用
收藏
页码：375 / 398
页数：24
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