Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation

doi:10.1155/2017/8952647

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	Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation
	Jin, Xue-Lian 1; Zhang, Yang 2; Zheng, Fu 2; Guo, Bao-Zhu3
	2017
发表期刊	MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN	1024-123X
页码	1-8
摘要	Theexponential stability of themonotubular heat exchanger equation with boundary observation possessing a time delay and inner control was investigated. Firstly, the close-loop system was translated into an abstract Cauchy problem in the suitable state space. A uniformly bounded C-0-semigroup generated by the close-loop system, which implies that the unique solution of the system exists, was shown. Secondly, the spectrum configuration of the closed-loop system was analyzed and the eventual differentiability and the eventual compactness of the semigroup were shown by the resolvent estimates on some resolvent sets. This implies that the spectrum-determined growth assumption holds. Finally, a sufficient condition, which is related to the physical parameters in the system and is independent of the time delay, of the exponential stability of the closed-loop system was given.
DOI	10.1155/2017/8952647
语种	英语
资助项目	National Natural Science Foundation of China[11201037] ; National Natural Science Foundation of China[11371071] ; National Natural Science Foundation of China[11371070] ; Natural Science Foundation of Liaoning Province[201602190]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000403873400001
出版者	HINDAWI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25874
专题	系统科学研究所
通讯作者	Zheng, Fu
作者单位	1.Liaoning Univ Technol, Sci Coll, Jinzhou 121001, Peoples R China 2.Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jin, Xue-Lian,Zhang, Yang,Zheng, Fu,et al. Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2017:1-8.
APA	Jin, Xue-Lian,Zhang, Yang,Zheng, Fu,&Guo, Bao-Zhu.(2017).Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation.MATHEMATICAL PROBLEMS IN ENGINEERING,1-8.
MLA	Jin, Xue-Lian,et al."Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation".MATHEMATICAL PROBLEMS IN ENGINEERING (2017):1-8.