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From Lyapunov-Krasovskii Functionals for Delay-Independent Stability to LMI Conditions for µ-Analysis

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Advances in Time-Delay Systems

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 38))

Abstract

Our scope in this note is to give a unified view on different approaches for studying stabilit y of delay systems and parameter-dependent systems, and on estimation methods for some structured singular values. The classical approaches arc exposed in Scnions 1 to 3. A new result which links them together is given in Section 4, Elements of proof are gathered in Section 5. Comments are provided in Section 6. Finally, Section 7 proposes some open problems. For sake of space, exposure is kept to minimum, the reader is refered to the cited literature for more details.

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Author information

Authors and Affiliations

  1. INRIA, Rocquencourt BP 105, 78153, Le Chesnay cedex, France

    Pierre-Alexandre Bliman

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  1. Pierre-Alexandre Bliman
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Editors and Affiliations

  1. Centre de Recherche de Royallieu, Universite de Technologie de Compiègne, UMR CNRS 6022, 60205, Compiègne, France

    Silviu-Iulian Niculescu

  2. Department of Mechanical and Industrial Engineering, Southern Illinois University, Edwardsville, IL, 62025-1805, USA

    Keqin Gu

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© 2004 Springer-Verlag Berlin Heidelberg

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Bliman, PA. (2004). From Lyapunov-Krasovskii Functionals for Delay-Independent Stability to LMI Conditions for µ-Analysis. In: Niculescu, SI., Gu, K. (eds) Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18482-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-18482-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20890-7

  • Online ISBN: 978-3-642-18482-6

  • eBook Packages: Springer Book Archive

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