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时变滞后Lurie型系统的改进稳定性准则

DOI: 10.3724/SP.J.1004.2011.00639, PP. 639-644

Keywords: Luriesystems,absolutestability,robuststability,Lyapunov-Krasovskiifunctional,linearmatrixinequality

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Abstract:

?Inthistechnicalnote,wepresentanewstabilityanalysisprocedureforascertainingthedelay-dependentstabilityofaclassofLuriesystemswithtime-varyingdelayandsector-boundednonlinearityusingLyapunov-Krasovskii(LK)functionalapproach.Theproposedanalysis,owingtothecandidateLKfunctionalandtighterboundingofitstime-derivative,yieldslessconservativeabsoluteandrobuststabilitycriteriafornominalanduncertainsystemsrespectively.Theeffectivenessoftheproposedcriteriaoversomeoftherecentlyreportedresultsisdemonstratedusinganumericalexample.

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