Rank Stability Radius for a Matrix with Structured Scalar Perturbations
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...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Conference Paper |
| Published: |
I E E E
2009
|
| Online Access: | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5400932 http://hdl.handle.net/20.500.11937/17983 |
| _version_ | 1848749614520336384 |
|---|---|
| author | Xing, W. Yan, W. Liu, Wan-quan |
| author2 | John Bailliul |
| author_facet | John Bailliul Xing, W. Yan, W. Liu, Wan-quan |
| author_sort | Xing, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T07:23:44Z |
| format | Conference Paper |
| id | curtin-20.500.11937-17983 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:23:44Z |
| publishDate | 2009 |
| publisher | I E E E |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-179832022-12-09T05:23:42Z Rank Stability Radius for a Matrix with Structured Scalar Perturbations Xing, W. Yan, W. Liu, Wan-quan John Bailliul Lei Gua 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. 2009 Conference Paper http://hdl.handle.net/20.500.11937/17983 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5400932 I E E E fulltext |
| spellingShingle | Xing, W. Yan, W. Liu, Wan-quan Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title | Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title_full | Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title_fullStr | Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title_full_unstemmed | Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title_short | Rank Stability Radius for a Matrix with Structured Scalar Perturbations |
| title_sort | rank stability radius for a matrix with structured scalar perturbations |
| url | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5400932 http://hdl.handle.net/20.500.11937/17983 |