Aleksandrov, Alexander and Mason, Oliver and Vorob'eva, Anna (2017) Diagonal Riccati Stability and the Hadamard Product. Working Paper. arXiv.
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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: | Monograph (Working Paper) |
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| Additional Information: | This work was partially supported by the Russian Foundation for Basic Research, grant no. 16-01-00587 and by Science Foundation Ireland grant 13/RC/2094 and co-funded under the European Regional Development Fund through the Southern & Eastern Regional Operational Programme to Lero - the Irish Software Research Centre (www.lero.ie). |
| 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: | 10021 |
| Identification Number: | arXiv:1612.06587 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 27 Sep 2018 15:56 |
| Publisher: | arXiv |
| Funders: | Russian Foundation for Basic Research, Science Foundation Ireland (SFI), European Regional Development Fund |
| 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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