Aleksandrov, Alexander and Mason, Oliver (2014) Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay. Systems & Control Letters, 63. pp. 63-67. ISSN 0167-6911

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Abstract

We consider the existence of diagonal Lyapunov–Krasovskii (L–K) functionals for positive discrete-time systems subject to time-delay. In particular, we show that the existence of a diagonal functional is necessary and sufficient for delay-independent stability of a positive linear time-delay system. We extend this result and provide conditions for the existence of diagonal L–K functionals for classes of nonlinear positive time-delay systems, which are not necessarily order preserving. We also describe sufficient conditions for the existence of common diagonal L–K functionals for switched positive systems subject to time-delay.

Item Type:	Article
Keywords:	Positive systems; Delay; Stability; Diagonal Lyapunov–Krasovskii functional;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	10024
Identification Number:	https://doi.org/10.1016/j.sysconle.2013.10.012
Depositing User:	Oliver Mason
Date Deposited:	28 Sep 2018 13:12
Journal or Publication Title:	Systems & Control Letters
Publisher:	Elsevier
Refereed:	Yes
Funders:	Higher Education Authority (HEA), St. Petersburg State University, Russian Foundation of Basic Researches (RFBR)
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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