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Improved delay‐dependent absolute stability and robust stability for a class of nonlinear systems with a time‐varying delay
Author(s) -
Wu Min,
Feng ZhiYong,
He Yong,
She JinHua
Publication year - 2010
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.1472
Subject(s) - control theory (sociology) , stability (learning theory) , nonlinear system , mathematics , upper and lower bounds , class (philosophy) , time derivative , derivative (finance) , computer science , mathematical analysis , control (management) , physics , quantum mechanics , machine learning , artificial intelligence , financial economics , economics
This paper investigates the problem of the absolute stability of Lur'e systems with a time‐varying delay. By considering the relationships among the time‐varying delay, its upper bound, and the difference between them, less conservative delay‐dependent stability criteria are obtained and formulated in terms of linear matrix inequalities, without ignoring any useful terms in the derivative of a Lyapunov–Krasovskii functional. Numerical example shows that the results obtained in this paper are better than the previous results. Copyright © 2009 John Wiley & Sons, Ltd.