View Item 

Rank Stability Radius for a Matrix with Structured Scalar Perturbations

View/Open
Access Status
Open access
Authors
Xing, W.
Yan, W.
Liu, Wan-quan
Date
2009
Type
Conference Paper
Metadata
Show full item record
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 set up. 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.

Citation
Xing, W. and Yan, W. and Liu, Wan-quan. 2009. Rank Stability Radius for a Matrix with Structured Scalar Perturbations, in Bailliul, J. and Gua, L. (ed), 48th CDC/28th CCC 09, Dec 16 2009, pp. 6160-6165. Shanghai, P.R. China: IEEE.
Source Title
Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference,
URI
Additional URLs
Faculty
Department of Electrical and Computer Engineering
School of Engineering
Faculty of Science and Engineering
Remarks

Copyright © 2009 IEEE This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Collections