中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION

文献类型:期刊论文

作者Zhou, Hua-Cheng1,2; Guo, Bao-Zhu3,4
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2018
卷号56期号:1页码:75-101
关键词time fractional reaction diffusion equation boundary control output feedback stabilization
ISSN号0363-0129
DOI10.1137/15M1048999
英文摘要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.
资助项目Israel Science Foundation[800/14] ; National Natural Science Foundation of China[61273129]
WOS研究方向Automation & Control Systems ; Mathematics
语种英语
WOS记录号WOS:000426744900004
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29797]  
专题系统科学研究所
通讯作者Zhou, Hua-Cheng
作者单位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
推荐引用方式
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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