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LMI approach to the real parametric robust stability problem with multipliers
Author(s) -
Gapski P. B.,
Geromel J. C.
Publication year - 1998
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/(sici)1099-1239(199806)8:7<599::aid-rnc332>3.0.co;2-w
Subject(s) - parametric statistics , robustness (evolution) , robust control , multiplier (economics) , lti system theory , stability (learning theory) , mathematics , control theory (sociology) , mathematical optimization , invariant (physics) , computer science , linear system , control system , engineering , control (management) , artificial intelligence , statistics , machine learning , economics , mathematical analysis , biochemistry , chemistry , macroeconomics , electrical engineering , mathematical physics , gene
In this work robust stability is revisited. Multiplier theory is used to generate LMI tests for robust stability of linear time‐invariant systems subject to real parametric uncertainty. Although only the real parametric case is studied in this paper, we claim that these results can be generalized to other uncertainty descriptions. Examples are presented to illustrate the results. © 1998 John Wiley & Sons, Ltd.