NDLI: Rank stability radius for a matrix with structured scalar perturbations

Content Provider	IEEE Xplore Digital Library
Author	Wei Xing Wei-Yong Yan Wanquan Liu
Copyright Year	2009
Description	Author affiliation: Department of Electrical and Computer Engineering, Curtin University of Technology, Perth 6845, Australia (Wei-Yong Yan) \|\| Institute of Systems Science, College of Science, Northeastern University, Shenyang, Liaoning 110004, China (Wei Xing) \|\| Department of Computing, Curtin University of Technology, Perth 6845, Australia (Wanquan Liu)
Abstract	In this paper, the rank stability radius problem is proposed for a real matrix under structured scalar perturbations and some interesting results are achieved based on polynomial analysis. In addition, a computable formula and a two-step procedure are obtained which nicely solves the problem in this simple setup. Finally, these results on rank stability radius are used to estimate the stability robustness of descriptor systems, and for a special class of symmetric descriptor systems, the rank stability radius is proved to be equal to the system stability radius.
Starting Page	6160
Ending Page	6165
File Size	452749
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400932
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robust stability Eigenvalues and eigenfunctions Controllability Observability Robust control Sufficient conditions H infinity control Stability analysis Polynomials Linear algebra
Content Type	Text
Resource Type	Article

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