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Mason, Oliver and Aleksandrov, A. Yu. (2013) On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay. Working Paper. Arxiv.
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Official URL: http://arxiv.org/pdf/1311.4866v1.pdf
Abstract
We present a set of results concerning the existence of Lyapunov-Krasovskii functionals for classes of nonlinear switched systems with
time-delay. In particular, we first present a result for positive systems
that relaxes conditions recently described in [11] for the existence of L-K functionals. We also provide related conditions for positive coupled
differential-difference positive systems and for systems of neutral type
that are not necessarily positive. Finally, corresponding results for
discrete-time systems are described.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Keywords: | Lyapunov-Krasovskii Functionals; Switched Nonlinear Systems; Delay; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 6230 |
| Identification Number: | arXiv:1311.4866 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 03 Jul 2015 14:21 |
| Publisher: | Arxiv |
| 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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