简介:Itisrevealedthatthedynamicstabilityof2-Drecursivecontinuous-discretesystemswithintervalparametersinvolvestheproblemofrobustHurwitz-Schurstabilityofbivariatepolynomialsfamily.ItisprovedthattheHurwitz-Schurstabilityofthedenominatorpolynomialsofthesystemsisnecessaryandsufficientfortheasymptoticstabilityofthe2-Dhybridsystems.The2-Dhybridtransformation,i.e.2-DLaplace-Ztransformation,hasbeenproposedtosolvethestabilityanalysisofthe2-Dcontinuous-discretesystems,togetthe2-Dhybridtransferfunctionsofthesystems.TheedgetestfortheHurwitz-Schurstabilityofintervalbivariatepolynomialsisintroduced.TheHurwitz-Schurstabilityoftheintervalfamilyof2-Dpolynomialscanbeguaranteedbythestabilityofitsfiniteedgepolynomialsofthefamily.Analgorithmaboutthestabilitytestofedgepolynomialsisgiven.