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Aleksandrov, Alexander, Mason, Oliver and Vorob’eva, Anna (2017) Diagonal Riccati stability and the Hadamard product. Linear Algebra and its Applications, 534. pp. 158-173. ISSN 0024-3795
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Abstract
We present an extension of a recent characterisation of diagonal Riccati stability and, using this, extend a result of Kraaijevanger on diagonal Lyapunov stability to Riccati stability of time-delay systems. We also describe a class of transformations that preserve the property of being diagonally Riccati stable and apply these two results to provide novel stability results for classes of time-delay systems.
| Item Type: | Article |
|---|---|
| Keywords: | Riccati inequality; Diagonal stability; Time-delay systems; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 11662 |
| Identification Number: | 10.1016/j.laa.2017.08.015 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 06 Nov 2019 16:41 |
| Journal or Publication Title: | Linear Algebra and its Applications |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Funders: | Russian Foundation for Basic Research, Science Foundation Ireland (SFI), European Regional Development Fund |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/11662 |
| 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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