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Delays and Interconnections: Methodology, Algorithms and Applications pp 187–197Cite as

Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay

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Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 10))

Abstract

This chapter deals with the stability analysis of linear systems subject to fast-varying delays. The main result is the derivation of a delay-dependent reciprocally convex lemma allowing a notable reduction of the conservatism of the resulting stability conditions with the introduction of a reasonable number of decision variables. Several examples are studied to show the potential of the proposed method.

This work was partially supported by the ANR project SCIDIS, contract number 15-CE23-0014.

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Author information

Authors and Affiliations

  1. LAAS-CNRS, Université de Toulouse, CNRS, UPS, Toulouse, France

    Alexandre Seuret & Frédéric Gouaisbaut

Authors
  1. Alexandre Seuret
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  2. Frédéric Gouaisbaut
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Corresponding author

Correspondence to Alexandre Seuret .

Editor information

Editors and Affiliations

  1. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

    Giorgio Valmorbida

  2. Laboratoire d’Analyse et d’Architecture de Systèmes-CNRS, Toulouse, France

    Alexandre Seuret

  3. Laboratoire des Signaux et Systèmes, CNRS-CentraleSupèlec-Université Paris-Saclay, Gif-sur-Yvette, France

    Islam Boussaada

  4. Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA

    Rifat Sipahi

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Seuret, A., Gouaisbaut, F. (2019). Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay. In: Valmorbida, G., Seuret, A., Boussaada, I., Sipahi, R. (eds) Delays and Interconnections: Methodology, Algorithms and Applications. Advances in Delays and Dynamics, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-11554-8_12

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