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H infinity control, stabilization, and input-output stability of nonlinear systems with homogeneous properties
Hong, YG
2001-06-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume37Issue:6Pages:819-829
AbstractIn 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.
Keywordnonlinear systems H infinity control stabilization stability analysis nonsmoothness
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000168492100003
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:39[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16684
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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