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Robust stability and structured uncertainty bounded by the Euclidean norm
Author(s) -
Álamo Teodoro,
Dormido Sebastian
Publication year - 2001
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.580
Subject(s) - bounded function , euclidean distance , euclidean geometry , mathematics , norm (philosophy) , ellipsoid , gaussian , mathematical optimization , mathematical analysis , physics , geometry , quantum mechanics , astronomy , political science , law
In the context of robust stability, the μ ‐problem is generalized for uncertainty bounded by means of the Euclidean norm. In some cases, a weighted Euclidean norm may be preferable to the infinite norm, for example, when the deviation from the nominal parameters exhibits a Gaussian distribution, also in the case that the parameters of the system are estimated by the ellipsoid algorithm. Several polynomial‐time upper bounds for the new μ ‐problem are proposed. Copyright © 2001 John Wiley & Sons, Ltd.