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A Note on Converse Lyapunov Theorems for Neutral Systems

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Recent Results on Nonlinear Delay Control Systems

Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 4))

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Abstract

We provide various extensions of recent results on the existence of Lyapunov–Krasovskii functionals for uncertain systems described by neutral functional differential equations. We consider nonlinear neutral delay systems for which the difference operator and the right-hand side of the differential equations are Lipschitz on bounded sets.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Heroon Polytechniou 9, 15780, Athens, Greece

    Iasson Karafyllis

  2. Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, 67100, L’Aquila, Italy

    Pierdomenico Pepe

Authors
  1. Iasson Karafyllis
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  2. Pierdomenico Pepe
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Corresponding author

Correspondence to Iasson Karafyllis .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Iasson Karafyllis

  2. Department of Mathematics, Louisiana State University (LSU), Baton Rouge, Louisiana, USA

    Michael Malisoff

  3. CNRS-CentraleSupélec-Université Paris Sud, EPI Inria “DISCO”, Laboratory of Signals and Systems (L2S, UMR CNRS 8506), Gif-sur-Yvette, France

    Frederic Mazenc

  4. Department of Information Engineering, Computer Science, and Mathematics, University of L’Aquila, L’Aquila, Italy

    Pierdomenico Pepe

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Karafyllis, I., Pepe, P. (2016). A Note on Converse Lyapunov Theorems for Neutral Systems. In: Karafyllis, I., Malisoff, M., Mazenc, F., Pepe, P. (eds) Recent Results on Nonlinear Delay Control Systems. Advances in Delays and Dynamics, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-18072-4_12

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  • DOI: https://doi.org/10.1007/978-3-319-18072-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18071-7

  • Online ISBN: 978-3-319-18072-4

  • eBook Packages: EngineeringEngineering (R0)

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