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Aleksandrov, Alexander and Mason, Oliver (2018) Diagonal stability of a class of discrete-time positive switched systems with delay. IET Control Theory and Applications, 12 (6). pp. 812-818. ISSN 1751-8644
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Abstract
A class of discrete-time nonlinear positive time-delay switched systems with sectortype nonlinearities is studied. Sufficient conditions for the existence of common and
switched diagonal Lyapunov–Krasovskii functionals for this system class are derived;
these are expressed as feasibility conditions for systems of linear algebraic inequalities.
Corresponding spectral conditions for the existence of common L–K functionals are
also described. Furthermore, it is shown that the proposed approaches can be applied
to discrete-time models of digital filters and neural networks. Finally, a numerical
example is given to illustrate the effectiveness of theoretical results.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the article available at arXiv:1709.10171 |
| Keywords: | Diagonal stability; class; discrete-time; positive; switched; delay; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 13192 |
| Identification Number: | 10.1049/iet-cta.2017.1079 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 28 Aug 2020 11:44 |
| Journal or Publication Title: | IET Control Theory and Applications |
| Publisher: | Institution of Engineering and Technology |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/13192 |
| 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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