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A new delay‐dependent stability criterion for time‐delay systems
Author(s) -
Sun Jian,
Liu G. P.
Publication year - 2009
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.121
Subject(s) - parameterized complexity , control theory (sociology) , model transformation , stability (learning theory) , weighting , linear matrix inequality , mathematics , transformation (genetics) , stability conditions , stability criterion , matrix (chemical analysis) , computer science , control (management) , mathematical optimization , algorithm , artificial intelligence , medicine , biochemistry , chemistry , statistics , geometry , consistency (knowledge bases) , discrete time and continuous time , machine learning , gene , radiology , materials science , composite material
This paper is concerned with the problem of stability of time‐delay systems. A new type of augmented Lyapunov functional is proposed. By introducing some free‐weighting matrices and using the parameterized model transformation method, a new delay‐dependent stability condition is obtained in terms of a linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed methods. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society