On the null controllability of parabolic equations with nonlinear memory

被引：1

作者：

Tao, Qiang ^{[1
,2
]}

Gao, Hang ^{[3
]}

机构：

[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China

[2] Shenzhen Univ, Shenzhen Key Lab Adv Machine Learning & Applicat, Shenzhen 518060, Peoples R China

[3] Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2020年 / 93卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Parabolic equation; null controllability; nonlinear memory; APPROXIMATE CONTROLLABILITY; HEAT-EQUATION; INTEGRODIFFERENTIAL EQUATIONS; SYSTEMS; STABILITY;

D O I：

10.1080/00207179.2018.1531148

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the global null controllability of nonlinear parabolic integro-differential equations arising in reactor dynamics with internal distributed control. Unlike the known results for nonlinear parabolic equations, controllability is analyzed in the frame of strong solutions. The result implies the nonlinear growth of the system with memory which is null controllable can be higher than that of classical parabolic equations. This phenomenon is caused by the memory effects.

引用

页码：1745 / 1753

页数：9

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