A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam
文献类型：期刊论文
| 作者 | Liu, Jiankang3; Guo, Bao-Zhu1,2,4 |
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 134页码:10 |
| 关键词 | Beam equation Finite volume method Finite difference method Exponential stability Uniform approximation |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2019.104518 |
| 英文摘要 | In this paper, a novel space semi-discretized numerical scheme which is based on finite volume method is proposed for approximation of uniformly exponential decay of Euler-Bernoulli beam system, which turns out to be an alternative of finite-difference scheme from order reduction point of view. The new scheme is constructed on equidistant grid points without using any numerical viscosity terms. The uniformly exponential decay is proved by the Lyapunov function method and the energy multiplier technique. With construction of a new gradient recovery function, the numerical solution is proved to be convergent to the (weak) solution of the original continuous system. Compared with the existing literature, the proposed approach has potentially achieved the following objectives: a) It removes the introduction of the numerical viscosity term to achieve uniform convergence; b) It can deal with any type of boundary conditions without help of the spectral analysis which is limited only for some special boundary conditions; c) the convergence proof is simplified significantly with the similar techniques in dealing with the continuous counterpart. (C) 2019 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11901365] ; National Natural Science Foundation of China[61873260] ; Project of Department of Education of Guangdong Province[2017KZDXM087] |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000501653800003 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50402]  |
| 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.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 2.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 4.Acad Sinica, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Jiankang,Guo, Bao-Zhu. A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam[J]. SYSTEMS & CONTROL LETTERS,2019,134:10. |
| APA | Liu, Jiankang,&Guo, Bao-Zhu.(2019).A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam.SYSTEMS & CONTROL LETTERS,134,10. |
| MLA | Liu, Jiankang,et al."A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam".SYSTEMS & CONTROL LETTERS 134(2019):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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