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

	H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties
	Hong, YG
刊名	AUTOMATICA
	2001-06-01
卷号	37 期号:6 页码:819-829
关键词	nonlinear systems H infinity control stabilization stability analysis nonsmoothness
ISSN号	0005-1098
英文摘要	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.
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000168492100003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/16683]
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.Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
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.