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Estimate of the Exponential Decay of Linear Delay Systems Via the Lyapunov Matrix

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Recent Results on Time-Delay Systems

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

Abstract

A new approach to the estimation of the exponential decay of linear time invariant delay systems is presented. It is based on new properties of the delay Lyapunov matrix and necessary stability conditions for this class of systems.

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Acknowledgments

This research is supported by Project Conacyt 180725.

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Authors and Affiliations

  1. Saint-Petersburg State University, Saint-petersburg, Russia

    Alexey V. Egorov

  2. Departamento de Control Automático, Cinvestav, IPN, México, D.F., Mexico

    Sabine Mondié

Authors
  1. Alexey V. Egorov
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  2. Sabine Mondié
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Corresponding author

Correspondence to Alexey V. Egorov .

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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Egorov, A.V., Mondié, S. (2016). Estimate of the Exponential Decay of Linear Delay Systems Via the Lyapunov Matrix. 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_5

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  • DOI: https://doi.org/10.1007/978-3-319-26369-4_5

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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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