NDLI: Structured singular values with nondiagonal structures. I. Characterizations

Content Provider	IEEE Xplore Digital Library
Author	Jie Chen Fan, M.K.H. Nett, C.N.
Copyright Year	1963
Abstract	The purpose of this two-part series is to provide a robustness analysis framework for a class of problems with highly structured modeling uncertainties. This framework is more general than that of the usual block, diagonally structured uncertainties, and it corresponds to a structure consisting of block-by-block matrix perturbations. We study the structured singular value with respect to this structure, and we establish a number of novel results for this notion. This paper contains a study on the properties of the structured singular value. We give an alternative characterization of this notion as the solution of a smooth optimization problem. Furthermore, we show that under a certain circumstance the structured singular value reduces to a vector-induced matrix norm.
Sponsorship	IEEE Control Systems Society
Starting Page	1507
Ending Page	1511
Page Count	5
File Size	589564
File Format	PDF
ISSN	00189286
Volume Number	41
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Robustness Space technology Robust stability Feedback Transfer functions Upper bound Stability analysis Measurement standards Computational complexity
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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