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Robust absolute stability of continuous systems
Author(s) -
Tsypkin Ya. Z.,
Polyak B. T.
Publication year - 1993
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.4590030304
Subject(s) - circle criterion , mathematics , nonlinear system , stability (learning theory) , bounded function , norm (philosophy) , control theory (sociology) , extension (predicate logic) , stability criterion , mathematical optimization , computer science , exponential stability , mathematical analysis , statistics , discrete time and continuous time , control (management) , physics , quantum mechanics , machine learning , artificial intelligence , political science , law , programming language
The problem of stability of continuous‐time nonlinear systems with nonparametric uncertainty of a linear part and sector uncertainty of its nonlinear part is considered. The proposed robust stability criterion is a natural extension of the circle criterion for absolute stability. The situation with the Popov criterion is also discussed; it is demonstrated to be nonrobust for perturbations of a linear part, bounded in H ∞ norm.