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Robustness assessment via stability radii in delay parameters
Author(s) -
Michiels Wim,
Fridman Emilia,
Niculescu SilviuIulian
Publication year - 2008
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1385
Subject(s) - robustness (evolution) , interconnection , stability (learning theory) , control theory (sociology) , constant (computer programming) , computer science , class (philosophy) , exploit , linear system , mathematics , mathematical analysis , control (management) , telecommunications , biochemistry , chemistry , machine learning , artificial intelligence , gene , programming language , computer security
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.