CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS

doi:10.1007/s10883-008-9052-x

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	CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS
	Zhong, Jianghua 1; Cheng, Daizhan1 ; Hu, Xiaoming 2
	2008-10-01
发表期刊	JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN	1079-2724
卷号	14 期号:4 页码:571-593
摘要	In this paper, the stabilization of quadratic-input nonlinear systems with bounded controls is considered. According to the type of quadratic-input forms, two cases, namely, positive definite and positive semi-definite, are considered. For the case of positive definiteness, a universal formula for bounded stabilizers is given via a known Lyapunov control function. For the case of positive semidefiniteness, a constructive parametrization of bounded stabilizers is proposed under the assumption that there exists a known Lyapunov control function with respect to a smaller control set than the admissible control set.
关键词	Quadratic-input nonlinear system global stabilization bounded control Lyapunov control function
DOI	10.1007/s10883-008-9052-x
语种	英语
资助项目	NNSF of China[60221301] ; NNSF of China[60334040] ; Sida-VR Swedish Research Links[348-2002-6936]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000260377200008
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5371
专题	系统科学研究所
通讯作者	Zhong, Jianghua
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Royal Inst Technol, Stockholm, Sweden
推荐引用方式 GB/T 7714	Zhong, Jianghua,Cheng, Daizhan,Hu, Xiaoming. CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2008,14(4):571-593.
APA	Zhong, Jianghua,Cheng, Daizhan,&Hu, Xiaoming.(2008).CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,14(4),571-593.
MLA	Zhong, Jianghua,et al."CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 14.4(2008):571-593.