Differentiability of the C-0-semigroup and failure of Riesz Basis for a mono-tubular heat exchanger equation with output feedback: A case study

doi:10.1007/s00233-004-0126-0

CSpace > 系统科学研究所

	Differentiability of the C-0-semigroup and failure of Riesz Basis for a mono-tubular heat exchanger equation with output feedback: A case study
	Guo, BZ; Liang, XY
	2004-11-01
发表期刊	SEMIGROUP FORUM
ISSN	0037-1912
卷号	69 期号:3 页码:462-471
摘要	In this article, we show that the C-0-semigroup associated with the closed-loop system of a mono-tubular heat exchanger equation with static output feedback studied in [System & Control Letters, 50 (2003), 363-369] is differentiable after some finite time period. This result strengthes the main conclusion of the spectrum-determined growth condition in aforementioned paper. Moreover, it is shown that the system is not a Riesz spectral system although the root subspace is complete in the energy Hilbert space. This is in sharp contrast to results for certain second order hyperbolic systems.
关键词	heat exchanger Riesz basis differentiable semi-group
DOI	10.1007/s00233-004-0126-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000224805900012
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/645
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, BZ,Liang, XY. Differentiability of the C-0-semigroup and failure of Riesz Basis for a mono-tubular heat exchanger equation with output feedback: A case study[J]. SEMIGROUP FORUM,2004,69(3):462-471.
APA	Guo, BZ,&Liang, XY.(2004).Differentiability of the C-0-semigroup and failure of Riesz Basis for a mono-tubular heat exchanger equation with output feedback: A case study.SEMIGROUP FORUM,69(3),462-471.
MLA	Guo, BZ,et al."Differentiability of the C-0-semigroup and failure of Riesz Basis for a mono-tubular heat exchanger equation with output feedback: A case study".SEMIGROUP FORUM 69.3(2004):462-471.