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Aleksandrov, Alexander and Mason, Oliver (2014) Absolute stability and Lyapunov–Krasovskii functionals for switched nonlinear systems with time-delay. Journal of the Franklin Institute, 351 (8). pp. 4381-4394. ISSN 0016-0032
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Abstract
We derive conditions for the existence of Lyapunov–Krasovskii functionals for a number of classes of nonlinear switched systems with time-delay. In particular, we first give conditions for systems of retarded type that relax those recently described in Sun and Wang (2013) [18]. Using similar techniques, related results are then derived for coupled differential-difference systems and for systems of neutral type. Finally, we briefly note some corresponding results for discrete-time systems.
| Item Type: | Article |
|---|---|
| Keywords: | Absolute stability; Lyapunov–Krasovskii functionals; switched nonlinear systems; time-delay; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 10025 |
| Identification Number: | 10.1016/j.jfranklin.2014.05.013 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 28 Sep 2018 13:38 |
| Journal or Publication Title: | Journal of the Franklin Institute |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10025 |
| 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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