FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN

doi:10.1137/070712043

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	FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN
	Hong, Yiguang1 ; Jiang, Zhong-Ping 2; Feng, Gang 3
	2010
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	48 期号:7 页码:4395-4418
摘要	This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems. With finite-time stability, nonsmoothness has to be considered, and serious technical challenges arise in the design of finite-time controllers and the stability analysis of the closed-loop system. It is found that FTISS plays an important role as the conventional ISS in the context of asymptotic stability analysis and smooth feedback stabilization. Moreover, a robust adaptive controller is proposed to handle nonlinear systems with parametric and dynamic uncertainties by virtue of FTISS and related arguments.
关键词	finite-time control input-to-state stability nonsmooth feedback Lyapunov functions uncertainties
DOI	10.1137/070712043
语种	英语
资助项目	NNSF of China[60874018] ; NNSF of China[60736022] ; NNSF of China[60821091] ; U.S. NSF[ECS-0093176] ; U.S. NSF[DMS-0504462] ; U.S. NSF[DMS-0906659] ; Research Grants Council of Hong Kong[CityU 112907]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000281673500010
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/9516
专题	系统科学研究所
通讯作者	Hong, Yiguang
作者单位	1.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.NYU, Polytech Inst, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA 3.City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hong, Yiguang,Jiang, Zhong-Ping,Feng, Gang. FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2010,48(7):4395-4418.
APA	Hong, Yiguang,Jiang, Zhong-Ping,&Feng, Gang.(2010).FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,48(7),4395-4418.
MLA	Hong, Yiguang,et al."FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 48.7(2010):4395-4418.