KMS Of Academy of mathematics and systems sciences, CAS
| BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION | |
Zhou, Hua-Cheng1,2; Guo, Bao-Zhu3,4
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| 2018 | |
| Source Publication | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
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| ISSN | 0363-0129 |
| Volume | 56Issue:1Pages:75-101 |
| Abstract | In this paper, we consider boundary feedback stabilization for unstable time fractional reaction diffusion equations. New state feedback controls with actuation on one end are designed by the backstepping method for both Dirichlet and Neumann boundary controls. By the Riesz basis approach and the fractional Lyapunov method, we prove the existence and uniqueness and the Mittag-Leffler stability for the closed-loop systems. For both cases, the observers and the observer based output feedback are designed to stabilize the systems. |
| Keyword | time fractional reaction diffusion equation boundary control output feedback stabilization |
| DOI | 10.1137/15M1048999 |
| Language | 英语 |
| Funding Project | Israel Science Foundation[800/14] ; National Natural Science Foundation of China[61273129] |
| WOS Research Area | Automation & Control Systems ; Mathematics |
| WOS Subject | Automation & Control Systems ; Mathematics, Applied |
| WOS ID | WOS:000426744900004 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29798 |
| Collection | 系统科学研究所 |
| Corresponding Author | Zhou, Hua-Cheng |
| Affiliation | 1.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China 2.Tel Aviv Univ, Sch Elect Engn, IL-69978 Ramat Aviv, Israel 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China |
| Recommended Citation GB/T 7714 | Zhou, Hua-Cheng,Guo, Bao-Zhu. BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2018,56(1):75-101. |
| APA | Zhou, Hua-Cheng,&Guo, Bao-Zhu.(2018).BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,56(1),75-101. |
| MLA | Zhou, Hua-Cheng,et al."BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 56.1(2018):75-101. |
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