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- Title
Uniform stabilization of a Schrödinger equation with partial Dirichlet delayed control.
- Authors
Wang, Xiaorui; Li, Yanfang
- Abstract
In this paper, the uniform stabilization of a multi-dimensional Schrödinger equation with partial Dirichlet delayed control is concerned. The control input is suffered from time delay. Herein a new feedback controller is adopted in the investigation. Firstly, we rewrite the delayed system under consideration into a cascaded system of a transport equation and a Schrödinger equation, and construct an exponentially stable target system. Then by defining a bounded invertible linear transformation and choosing some appropriate kernel functions, we establish the equivalence between the closed-loop system and the target system. Finally, the exponential stability of the closed-loop system is obtained.
- Subjects
EXPONENTIAL stability; TRANSPORT equation; CLOSED loop systems; KERNEL functions
- Publication
IMA Journal of Mathematical Control & Information, 2023, Vol 40, Issue 3, p534
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnad022