Controller design and stability analysis for Schrodinger equation subject to a restricted boundary feedback

被引：0

作者：

Cui, Haoyue ^{[1
]}

Liu, Dongyi ^{[2
]}

Xu, Genqi ^{[2
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

[2] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China

来源：

2018 37TH CHINESE CONTROL CONFERENCE (CCC) | 2018年

关键词：

Schrodinger equation; constrained boundary control; maximal monotone operator; invariant principle; stability;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Design of controller subject to a constraint for a Schrodinger equation is considered. The controller is deduced based on the energy functional of the system. As the resulting system is nonlinear, the monotone operator theory and a complex form of the nonlinear Lax-Milgram theorem are adopted to prove the well-posedness. With the LaSalle invariance principle, the asymptotic stability of the system is obtained.

引用

页码：1197 / 1201

页数：5

共 17 条

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