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Delay‐dependent stability and stabilization of neutral time‐delay systems
Author(s) -
Sun Jian,
Liu G. P.,
Chen Jie
Publication year - 2009
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.1384
Subject(s) - control theory (sociology) , stability (learning theory) , weighting , linear matrix inequality , mathematics , basis (linear algebra) , controller (irrigation) , state (computer science) , matrix (chemical analysis) , stability conditions , computer science , mathematical optimization , control (management) , algorithm , physics , geometry , materials science , machine learning , artificial intelligence , acoustics , agronomy , composite material , biology , statistics , discrete time and continuous time
This paper is concerned with the problem of stability and stabilization of neutral time‐delay systems. A new delay‐dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free‐weighting matrices. On the basis of the obtained stability condition, a stabilizing method is also proposed. Using an iterative algorithm, the state feedback controller can be obtained. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results. Copyright © 2008 John Wiley & Sons, Ltd.