Qualitative properties for the 1-D impulsive wave equation: controllability and observability

被引：8

作者：

Ben Aissa, Akram ^{[1
]}

Zouhair, Walid ^{[2
]}

机构：

[1] Univ Sousse, Higher Inst Transport & Logist Sousse, UR 13ES64, UR Anal & Control PDEs, Sousse, Tunisia

[2] Cadi Ayyad Univ, Fac Sci Semlalia, LMDP, UMMISCO IRD UPMC, BP 2390, Marrakech, Morocco

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 08期

关键词：

Impulsive wave equation; impulse control; impulse observability; impulse approximate controllability;

D O I：

10.2989/16073606.2021.1940346

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain omega and at one instant of time tau is an element of (0, T). Afterward, we study impulse observability.

引用

页码：1229 / 1241

页数：13

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