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Robust absolute stability for general neutral type Lurie indirect control systems
Author(s) -
Gao Jinfeng,
Su Hongye,
Ji Xiaofu,
Chu Jian
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.70
Subject(s) - control theory (sociology) , bounding overwatch , weighting , mathematics , nonlinear system , stability (learning theory) , model transformation , robust control , type (biology) , quadratic equation , lyapunov function , term (time) , matrix (chemical analysis) , control (management) , computer science , discrete mathematics , physics , materials science , composite material , ecology , geometry , consistency (knowledge bases) , quantum mechanics , artificial intelligence , machine learning , biology , acoustics
This note concerns the robust absolute stability analysis for a class of general neutral type Lurie indirect control systems with nonlinearity located in an infinite sector or finite one. By using Lyapunov functional of quadratic form with integral term and introducing some free‐weighting matrices, some delay‐dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities. Neither model transformation nor bounding technique is required here. The obtained criteria are less conservative than previous ones, which are illustrated by numerical examples. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society