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A delay decomposition approach to delay‐dependent stability for linear systems with time‐varying delays
Author(s) -
Zhang XianMing,
Han QingLong
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.1413
Subject(s) - equidistant , control theory (sociology) , stability (learning theory) , mathematics , interval (graph theory) , lyapunov function , linear system , decomposition , computer science , nonlinear system , mathematical analysis , control (management) , physics , geometry , combinatorics , artificial intelligence , machine learning , quantum mechanics , ecology , biology
Abstract This paper is concerned with delay‐dependent stability for linear systems with time‐varying delays. By decomposing the delay interval into multiple equidistant subintervals, on which different Lyapunov functionals are chosen, and new Lyapunov‐Krasvskii functionals are then constructed. Employing these new Lyapunov‐Krasvskii functionals, some new delay‐dependent stability criteria are established. The numerical examples show that the obtained results are less conservative than some existing ones in the literature. Copyright © 2009 John Wiley & Sons, Ltd.