RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu1,2; Ren, Han-Jing1 |
| 刊名 | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
 |
| 出版日期 | 2021-10-13 |
| 卷号 | 27页码:25 |
| 关键词 | Thermoelastic system variable coefficient Riesz basis |
| ISSN号 | 1292-8119 |
| DOI | 10.1051/cocv/2021095 |
| 英文摘要 | In this paper, we study Riesz basis property and stability for a nonuniform thermoelastic system with Dirichlet-Dirichlet boundary condition, where the heat subsystem is considered as a control to the whole coupled system. By means of the matrix operator pencil method, we obtain the asymptotic expressions of the eigenpairs, which are exactly coincident to the constant coefficients case. We then show that there exists a sequence of generalized eigenfunctions of the system, which forms a Riesz basis for the state space and the spectrum determined growth condition is therefore proved. As a consequence, the exponential stability of the system is concluded. |
| 资助项目 | National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[12131008] |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000706809900001 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59398]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Bao-Zhu |
| 作者单位 | 1.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Ren, Han-Jing. RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2021,27:25. |
| APA | Guo, Bao-Zhu,&Ren, Han-Jing.(2021).RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,27,25. |
| MLA | Guo, Bao-Zhu,et al."RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 27(2021):25. |
入库方式： OAI收割
来源：数学与系统科学研究院
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