BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION

doi:10.1137/15M1048999

CSpace > 系统科学研究所

	BOUNDARY FEEDBACK STABILIZATION FOR AN UNSTABLE TIME FRACTIONAL REACTION DIFFUSION EQUATION
	Zhou, Hua-Cheng 1,2; Guo, Bao-Zhu3,4
	2018
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	56 期号:1 页码:75-101
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.
关键词	time fractional reaction diffusion equation boundary control output feedback stabilization
DOI	10.1137/15M1048999
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000426744900004
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29798
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.