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.
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页码：400 / 418
页数：19
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