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:	https://doi.org/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
URI:	https://www.journals.elsevier.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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