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Exponential Stability of Discrete Impulsive Switched Singular Systems with Time Delay

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Book cover Recent Advances in Mathematical and Statistical Methods (AMMCS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 259))

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Abstract

This paper addresses the exponential stability problem for discrete impulsive switched singular systems with time delay where the impulsive effects occur as a result of switching among the subsystems. Some sufficient conditions on the exponential stability of the system are established. The stability conditions are investigated by using the multiple Lyapunov functions along with the average dwell time switching signal and by resorting the Halanay lemma. Finally, numerical examples with simulations are provided.

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Authors and Affiliations

  1. University of Waterloo, Waterloo, Canada

    Humeyra Kiyak, Mohamad S. Alwan & Xinzhi Liu

Authors
  1. Humeyra Kiyak
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  2. Mohamad S. Alwan
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  3. Xinzhi Liu
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Corresponding author

Correspondence to Mohamad S. Alwan .

Editor information

Editors and Affiliations

  1. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    D. Marc Kilgour

  2. Department of Mathematics & Statistics, University of Guelph, Guelph, ON, Canada

    Herb Kunze

  3. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Roman Makarov

  4. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Roderick Melnik

  5. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, ON, Canada

    Xu Wang

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Kiyak, H., Alwan, M.S., Liu, X. (2018). Exponential Stability of Discrete Impulsive Switched Singular Systems with Time Delay. In: Kilgour, D., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Advances in Mathematical and Statistical Methods . AMMCS 2017. Springer Proceedings in Mathematics & Statistics, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-319-99719-3_18

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