Minimal Norm Control Problem Governed by Semilinear Heat Equation with Impulse Control

被引：5

作者：

Duan, Yueliang ^{[1
]}

Wang, Lijuan ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 184卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Minimal norm control; Impulse control; Pontryagin's maximum principle; Semilinear heat equation; APPROXIMATE CONTROLLABILITY; TIME; EQUIVALENCE;

D O I：

10.1007/s10957-019-01594-9

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 a kind of minimal norm optimal control problem for a semilinear heat equation with impulse controls; it consists in finding an impulse control, which has the minimal norm among all controls steering solutions of the controlled system to a given target from an initial state in a fixed time interval. We will study the existence of optimal controls to this problem. Then, we will establish a nontrivial Pontryagin's maximum principle of this problem.

引用

页码：400 / 418

页数：19

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