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Necessary and sufficient conditions for robust stability using modal intervals

In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analysis not only simplifies the computation of interval functions but allows semantic interpretation of their results. Necessary, sufficient and, in some cases, necessary and sufficient conditions for robust performance are presented

IEEE

Author: Vehí i Casellas, Josep
Sainz, Miguel Ángel
Abstract: In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analysis not only simplifies the computation of interval functions but allows semantic interpretation of their results. Necessary, sufficient and, in some cases, necessary and sufficient conditions for robust performance are presented
Document access: http://hdl.handle.net/2072/67348
Language: eng
Publisher: IEEE
Rights: Tots els drets reservats
Subject: Anàlisi d’intervals (Matemàtica)
Control automàtic
Sistemes dinàmics diferenciables
Automatic control
Differentiable dynamical systems
Interval analysis (Mathematics)
Title: Necessary and sufficient conditions for robust stability using modal intervals
Type: info:eu-repo/semantics/article
Repository: Recercat

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