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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: | 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) |
| Related URLs: | |
| 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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