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Robust Absolute Stability Analysis of Multiple Time‐Delay L ur'e Systems With Parametric Uncertainties
Author(s) -
Kazemy A.,
Farrokhi M.
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.503
Subject(s) - parametric statistics , control theory (sociology) , mathematics , stability (learning theory) , bounded function , upper and lower bounds , linear matrix inequality , nonlinear system , norm (philosophy) , robust control , computer science , mathematical optimization , mathematical analysis , physics , control (management) , statistics , law , quantum mechanics , artificial intelligence , machine learning , political science
The problem of robust absolute stability for time‐delay L ur'e systems with parametric uncertainties is investigated in this paper. The nonlinear part of the Lur'e system is assumed to be both time‐invariant and time‐varying. The structure of uncertainty is a general case that includes norm‐bounded uncertainty. Based on the L yapunov– K rasovskii stability theory, some delay‐dependent sufficient conditions for the robust absolute stability of the L ur'e system will be derived and expressed in the form of linear matrix inequalities ( LMI s). These conditions reduce the conservativeness in computing the upper bound of the maximum allowed delay in many cases. Numerical examples are given to show that the proposed stability criteria are less conservative than those reported in the established literatures.