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

  • Pierre-Alexandre Bliman
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)


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.


Coefficient Matrix Linear Matrix Inequality Robust Stability Delay System Linear Matrix Inequality Approach 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Pierre-Alexandre Bliman
    • 1
  1. 1.INRIALe Chesnay cedexFrance

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