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Robustness assessment via stability radii in delay parameters
Authors:Wim Michiels  Emilia Fridman  Silviu‐Iulian Niculescu
Affiliation:1. Department of Computer Science, K.U.Leuven, Celestijnenlaan 200A, B‐3001 Heverlee, Belgium;2. Department of Electrical Engineering, Tel‐Aviv University, Tel‐Aviv 69978, Israel;3. L2S (UMR CNRS 8506), CNRS‐Supélec, 3, rue Joliot Curie, 91192 Gif‐sur‐Yvette, France
Abstract:This paper focuses on the robust stability analysis of a class of linear systems including multiple delays subjected to constant or time‐varying perturbations. The approach considered makes use of appropriate stability radius concepts (dynamic, static) and relies on a feedback interconnection interpretation of the uncertain system. Various computable bounds on stability radii are obtained that exploit the structure of the problem. Systems including perturbations on both system matrices and delays are also dealt with. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:delays  uncertainty  stability radius  feedback interconnection  delay equation  stability  robustness
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