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Augmented Lyapunov functional approach for stability of neutral systems with mixed delays
Author(s) -
Qian Wei,
Liu Juan,
Fei Shumin
Publication year - 2012
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.294
Subject(s) - positive definiteness , stability (learning theory) , mathematics , control theory (sociology) , norm (philosophy) , bounded function , linear matrix inequality , positive definite matrix , conservatism , computer science , control (management) , mathematical optimization , mathematical analysis , law , physics , quantum mechanics , machine learning , artificial intelligence , eigenvalues and eigenvectors , politics , political science
This paper is concerned with the neutral‐delay‐dependent and discrete‐delay‐dependent stability for uncertain neutral systems with mixed delays and norm‐bounded uncertainties. Through constructing a new augmented Lyapunov‐Krasovskii functional and proving its positive definiteness, introducing some slack matrices and using integral inequality, the improved delay‐dependent stability criteria are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the significant improvement on the conservatism of the delay bound over some existing results.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society