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Stability of Interconnected Uncertain Delay Systems: A Converse Lyapunov Approach

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Delays and Interconnections: Methodology, Algorithms and Applications

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

Abstract

In this chapter we first recall a collection of converse Lyapunov–Krasovskii theorems for uncertain linear retarded systems. The originality of these theorems resides in the weakly-degenerate conditions required on the Lyapunov–Krasovskii functionals. Thanks to these theorems, sufficient conditions for the stability of interconnected uncertain linear retarded systems are given.

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Author information

Authors and Affiliations

  1. Quartz EA 7393, ENSEA, 6 Avenue du Ponceau, 95014, Cergy-Pontoise Cedex, France

    Ihab Haidar

  2. Laboratoire des Signaux et Systèmes (L2S), CNRS, CentraleSupélec, Université Paris-Sud, Université Paris-Saclay, Gif-sur-Yvette, France

    Paolo Mason

  3. Laboratoire Jacques-Louis Lions, Inria, Sorbonne Université, CNRS, Université Paris-Diderot, Paris, France

    Mario Sigalotti

Authors
  1. Ihab Haidar
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  2. Paolo Mason
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  3. Mario Sigalotti
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Corresponding author

Correspondence to Paolo Mason .

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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Haidar, I., Mason, P., Sigalotti, M. (2019). Stability of Interconnected Uncertain Delay Systems: A Converse Lyapunov Approach. 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_4

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