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    On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay

    Mason, Oliver and Aleksandrov, A. Yu. (2013) On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay. Working Paper. Arxiv.

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    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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