KMS Of Academy of mathematics and systems sciences, CAS
| RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS | |
| Guo, Bao-Zhu1,2; Ren, Han-Jing1 | |
| 2021-10-13 | |
| Source Publication | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
 |
| ISSN | 1292-8119 |
| Volume | 27Pages:25 |
| Abstract | 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. |
| Keyword | Thermoelastic system variable coefficient Riesz basis |
| DOI | 10.1051/cocv/2021095 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[12131008] |
| WOS Research Area | Automation & Control Systems ; Mathematics |
| WOS Subject | Automation & Control Systems ; Mathematics, Applied |
| WOS ID | WOS:000706809900001 |
| Publisher | EDP SCIENCES S A |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59399 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 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 |
| Recommended Citation 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. |
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