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Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation
Jin, Xue-Lian1; Zhang, Yang2; Zheng, Fu2; Guo, Bao-Zhu3
2017
Source PublicationMATHEMATICAL PROBLEMS IN ENGINEERING
ISSN1024-123X
Pages1-8
AbstractTheexponential 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.
DOI10.1155/2017/8952647
Language英语
Funding ProjectNational 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 Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000403873400001
PublisherHINDAWI LTD
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25874
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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