A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks

doi:10.1137/S0363012902420352

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	A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks
	Guo, BZ ; Xie, Y
	2004
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	43 期号:4 页码:1234-1252
摘要	This paper gives an abstract sufficient condition on Riesz basis with parentheses property for the generators of C-0-groups in Hilbert spaces whose eigenvalues are comprised of some finite unification of separable sets after taking the algebraic multiplicities into account. The condition is then applied to the closed-loop system of a serially connected string system under joint damping feedbacks to show that there is a family of generalized eigenfunctions that form a Riesz basis with parentheses in the state space. The spectrum-determined growth condition is concluded as a consequence.
关键词	C-0-group string equation completeness Riesz basis function of exponentials
DOI	10.1137/S0363012902420352
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000227761000005
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/967
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, Y
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Dept Computat & Appl Math, ZA-2050 Wits, South Africa
推荐引用方式 GB/T 7714	Guo, BZ,Xie, Y. A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2004,43(4):1234-1252.
APA	Guo, BZ,&Xie, Y.(2004).A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,43(4),1234-1252.
MLA	Guo, BZ,et al."A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 43.4(2004):1234-1252.