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自动化学报 2005
具有时变时滞的Lurie系统绝对稳定性的时滞相关条件, PP. 475-478 Keywords: Delay-dependent,Luriecontrolsystem,absolutestability,linearmatrixinequality Abstract: ？Somedelay-dependentabsolutestabilitycriteriaforLuriecontrolsystemswithtime-varyingdelayarederived,inwhichsomefree-weightingmatricesareusedtoexpresstherelationshipsbetweenthetermsintheLeibniz-Newtonformula.Thesecriteriaarebasedonlinearmatrixinequality(LMI)suchthattheupperboundoftime-delayguaranteeingtheabsolutestabilityandthefree-weightingmatricescanbeobtainedthroughthesolutionsoftheLMI.Moreover,theLyapunovfunctionalconstructedbythesolutionsoftheseLMIsisadoptedtoguaranteetheabsolutestabilityofthesystems.Finally,someexamplesareprovidedtodemonstratetheeffectivenessoftheproposedmethods.
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