H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties

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	H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties
	Hong, YG
	2001-06-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	37 期号:6 页码:819-829
摘要	In this paper, we discuss the problems about H(infinity) control, stabilization and input-output stability of nonlinear systems, which may not satisfy known regularity conditions related to smoothness. To this end, a class of homogeneous systems and systems that can be approximated by homogeneous systems, are concentrated on. New relationships are established between H(infinity) control and stabilization, and between L(p) stability and Lyapunov stability. At first, with Hamilton-Jacobi-Isaacs inequality, the nonlinear H(infinity) control problem of the systems with homogeneous properties is discussed. The results show that their stabilizability via homogeneous feedback, in the case without exogenous input signals, implies the solvability of their H(infinity) control problem. Then, simply formulated results on input-output stability are obtained, based on the relations among the homogeneity degrees concerned with the considered systems. The conclusions hold globally for homogeneous systems and locally for those that can be homogeneously approximated. (C) 2001 Elsevier Science Ltd. All rights reserved.
关键词	nonlinear systems H infinity control stabilization stability analysis nonsmoothness
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000168492100003
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16684
专题	中国科学院数学与系统科学研究院
通讯作者	Hong, YG
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA
推荐引用方式 GB/T 7714	Hong, YG. H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties[J]. AUTOMATICA,2001,37(6):819-829.
APA	Hong, YG.(2001).H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties.AUTOMATICA,37(6),819-829.
MLA	Hong, YG."H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties".AUTOMATICA 37.6(2001):819-829.