Constrained asymptotic null-controllability for semi-linear infinite dimensional systems

被引：0
|
作者：
Lahoucine Boujallal
Khalid Kassara
机构：
[1] University Hassan II of Casablanca,Department of Mathematics and Computer Sciences, Faculty of Sciences Ain Chock
来源：
International Journal of Dynamics and Control | 2021年 / 9卷
关键词：
Semi-linear systems; Null-controllability; Lyapunov functions; Mixed constraints; Viability theory; Contingent cone; 93B03; 93C10; 93C20; 35K58;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates asymptotic controllability of systems governed by semi-linear partial differential equations, under mixed input-state constraints. A unified approach based on viability theory and set-valued analysis, is provided, requiring that the linear part of the system generates a strongly continuous compact semigroup. In the case of convex constraints, it is shown that Michael selection theorem can be used to get existence of the needed feedback control laws. Examples are numerically treated in order to illustrate the results established.
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页码：1000 / 1012
页数：12
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