KMS Of Academy of mathematics and systems sciences, CAS
| Exponential Stability of the Monotubular Heat Exchanger Equation with Time Delay in Boundary Observation | |
Jin, Xue-Lian1; Zhang, Yang2; Zheng, Fu2; Guo, Bao-Zhu3
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| 2017 | |
| Source Publication | MATHEMATICAL PROBLEMS IN ENGINEERING
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| ISSN | 1024-123X |
| Pages | 1-8 |
| Abstract | 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 |
| Language | 英语 |
| Funding Project | 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 Research Area | Engineering ; Mathematics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000403873400001 |
| Publisher | HINDAWI LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25874 |
| Collection | 系统科学研究所 |
| Corresponding Author | Zheng, Fu |
| Affiliation | 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 |
| 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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