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Delay‐dependent robust stability and stabilization of uncertain neutral systems
Author(s) -
He Yong,
Wu Min,
She JinHua
Publication year - 2008
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.31
Subject(s) - control theory (sociology) , weighting , stability (learning theory) , linear matrix inequality , controller (irrigation) , full state feedback , mathematics , state (computer science) , stability criterion , robust control , matrix (chemical analysis) , computer science , control (management) , mathematical optimization , control system , engineering , algorithm , statistics , artificial intelligence , medicine , materials science , discrete time and continuous time , electrical engineering , machine learning , biology , agronomy , composite material , radiology
This paper discusses the problems of the delay‐dependent robust stability and stabilization of uncertain neutral systems with time‐varying delays. Delay‐dependent stability criteria are derived by taking the relationships between the terms in the Leibniz‐Newton formula into account. Free‐weighting matrices are employed to express these relationships, and they are easy to obtain because the new criteria are based on linear matrix inequalities. Moreover, the stability criteria are extended to the design of a stabilizing state feedback controller. Numerical examples demonstrate that these criteria are effective and are an improvement on previous ones. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society