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Laffey, Thomas, 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
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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: | https://mural.maynoothuniversity.ie/id/eprint/10090 |
| 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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