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Recent Results on Time-Delay Systems pp 107–124Cite as

A Bridge Between Lyapunov-Krasovskii and Spectral Approaches for Difference Equations

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Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 5))

Abstract

Stability and performance properties of a class of systems governed by linear continuous-time difference equations are investigated. These properties are linked with those of discrete-time linear systems. This analysis is carried out via two approaches, namely Lyapunov-Krasovskii techniques and spectral theory. A discussion on robustness issues is made.

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Author information

Authors and Affiliations

  1. Université de Lyon, Laboratoire Ampère, UMR CNRS 5005, INSA-Lyon, 20 Avenue Albert Einstein, 69621, Villeurbanne, France

    Sérine Damak & Michael Di Loreto

  2. CEA-LETI, Minatec Campus, 17 Rue des Martyrs, 38054, Grenoble Cedex, France

    Warody Lombardi

  3. Université de Lyon, LAGEP, 43 Bd du 11 Novembre 1918, 69621, Villeurbanne, France

    Vincent Andrieu

Authors
  1. Sérine Damak
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  2. Michael Di Loreto
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  3. Warody Lombardi
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  4. Vincent Andrieu
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Corresponding author

Correspondence to Michael Di Loreto .

Editor information

Editors and Affiliations

  1. GIPSA-lab, University Grenoble Alpes - CNRS, Saint Martin d’Hères – Cedex, France

    Emmanuel Witrant

  2. School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel

    Emilia Fridman

  3. GIPSA-lab, University Grenoble Alpes - CNRS, Saint Martin d'Heres Cedex, France

    Olivier Sename

  4. GIPSA-lab, University Grenoble Alpes - CNRS, Grenoble, France

    Luc Dugard

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Damak, S., Di Loreto, M., Lombardi, W., Andrieu, V. (2016). A Bridge Between Lyapunov-Krasovskii and Spectral Approaches for Difference Equations. In: Witrant, E., Fridman, E., Sename, O., Dugard, L. (eds) Recent Results on Time-Delay Systems. Advances in Delays and Dynamics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-26369-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-26369-4_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26367-0

  • Online ISBN: 978-3-319-26369-4

  • eBook Packages: EngineeringEngineering (R0)

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