Arbitrary decay for boundary stabilization of Schrödinger equation subject to unknown disturbance by Lyapunov approach

Wen Kang*, Bao Zhu Guo

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

4 引用 (Scopus)

摘要

This paper deals with the design of boundary control to stabilize one-dimensional Schrödinger equation with general external disturbance. The backstepping method is first applied to transform the anti-stability from the free end to the control end. A variable structure feedback stabilizing controller is then designed to achieve arbitrary assigned decay rate. The Galerkin approximation scheme is used to show the existence of the solution to the closed-loop system. The exponential stability of the closed-loop system is obtained by the Lyapunov functional method. A numerical example demonstrates the efficiency of the proposed control scheme.

源语言英语
页(从-至)100033
页数1
期刊IFAC Journal of Systems and Control
7
DOI
出版状态已出版 - 30 3月 2019
已对外发布

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