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H ∞ performance analysis for discrete‐time systems with additive time‐varying delays
Author(s) -
Tang XianMing,
Yu JinShou
Publication year - 2011
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.305
Subject(s) - stability (learning theory) , discrete time and continuous time , linear matrix inequality , control theory (sociology) , control (management) , software , computer science , mathematics , matrix (chemical analysis) , mathematical optimization , statistics , materials science , machine learning , artificial intelligence , composite material , programming language
Abstract The problem of stability analysis for discrete time‐delay systems with additive delays is considered. New results on stability and H ∞ performance are proposed for systems with two successive delay components. By exploiting new Lyapunov–Krasovskii functionals, the proposed results have a strong practical application background in networked control systems. The criteria are expressed in the form of linear matrix inequalities, which can be readily solved by using standard numerical software. Illustrative examples are provided to show the advantage of these results. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society