Laffey, Thomas and Shorten, Robert N. and Ó Cairbre, Fiacre
(2004)
On the stability of convex sums of rank-1 perturbed matrices.
Mathematical Proceedings of the Royal Irish Academy, 104A (1).
pp. 99-105.
ISSN 1393-7197
Abstract
New compact conditions are obtained that guarantee stability of a convex sum of a pair of matrices. It is conjectured that these conditions are both necessary and sufficient for the stability of a pair of related convex sums. It is anticipated that the proof presented for a single pencil will be modified to yield conditions for both pencils simultaneously.
| Item Type: |
Article
|
| Keywords: |
stability; convex sums; rank-1 perturbed matrices; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
10090 |
| Depositing User: |
Dr. Fiacre O Cairbre
|
| Date Deposited: |
11 Oct 2018 13:41 |
| Journal or Publication Title: |
Mathematical Proceedings of the Royal Irish Academy |
| Publisher: |
Royal Irish Academy |
| Refereed: |
Yes |
| Funders: |
European Union Multi-Agent Control, Enterprise Ireland (EI) |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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