Aleksandrov, Alexander and 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:	https://doi.org/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
URI:	https://www.sciencedirect.com
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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