RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS

doi:10.1051/cocv/2021095

	RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR ONE-DIMENSIONAL THERMOELASTIC SYSTEM WITH VARIABLE COEFFICIENTS
	Guo, Bao-Zhu 1,2; Ren, Han-Jing 1
刊名	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
	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
出版者	EDP SCIENCES S A
WOS记录号	WOS:000706809900001
内容类型	期刊论文
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.