Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation
文献类型：期刊论文
| 作者 | Liu, Jiankang4; Hao, Ruiqi4; Guo, Bao-Zhu1,2,3 |
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2022-02-01 |
| 卷号 | 160页码:9 |
| 关键词 | Schrodinger equation Exponential stability Uniform approximation Order reduction method |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2022.105136 |
| 英文摘要 | This paper considers the uniform exponential stability approximation of a one-dimensional Schrodinger system with boundary damping. The continuous system is known to be exponentially stable. Firstly, the order reduction method is adopted to transform the original system into an equivalent one. Two second-order semi-discretized finite difference schemes are derived for both the transformed system and the original system, which are shown to be equivalent to each other. Secondly, the Lyapunov function method is used to prove the uniform exponential stability of the semi-discretized transformed system, which is parallel to the proof of the continuous transformed system. Finally, the solution of the semi-discretized system converges weakly to the solution of the original system and the discrete energy converges to the continuous energy. (C) 2022 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11901365] ; National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[12131008] |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000788748900001 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60384]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Jiankang |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Acad Sin, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Jiankang,Hao, Ruiqi,Guo, Bao-Zhu. Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation[J]. SYSTEMS & CONTROL LETTERS,2022,160:9. |
| APA | Liu, Jiankang,Hao, Ruiqi,&Guo, Bao-Zhu.(2022).Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation.SYSTEMS & CONTROL LETTERS,160,9. |
| MLA | Liu, Jiankang,et al."Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation".SYSTEMS & CONTROL LETTERS 160(2022):9. |
入库方式： OAI收割
来源：数学与系统科学研究院
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