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1、INTERNATIONALJOURNALOFROBUSTANDNONLINEARCONTROLInt.J.Robust.NonlinearControl2013;23:12141239Publishedonline22March2012inWileyOnlineLibrary(wileyonlinelibrary.com).DOI:10.1002/rnc.2816RazumikhinNussbaum-lemma-basedadaptiveneuralcontrolforuncertainstochasticpure-feedbacknonlinearsyste
2、mswithtime-varyingdelaysZhaoxuYu1,ShugangLi2andHongbinDu1,*,1DepartmentofAutomation,EastChinaUniversityofScienceandTechnology,Shanghai200237,China2DepartmentofIndustrialEngineeringandLogistics,ShanghaiJiaoTongUniversity,Shanghai200240,ChinaSUMMARYThispaperaddressestheproblemofadapti
3、veneuralcontrolforaclassofuncertainstochasticpure-feedbacknonlinearsystemswithtime-varyingdelays.Majortechnicaldifficultiesforthisclassofsystemsliein:(1)theunknowncontroldirectionembeddedintheunknowncontrolgainfunction;and(2)theunknownsystemfunctionswithunknowntime-varyingdelays.Base
4、donanovelcombinationoftheRazumikhinNussbaumlemma,thebacksteppingtechniqueandtheNNparameterization,anadaptiveneuralcontrolscheme,whichcontainsonlyoneadaptiveparameterispresentedforthisclassofsystems.Allclosed-loopsignalsareshowntobe4-Momentsemi-globallyuniformlyultimatelyboundedinaco
5、mpactset,andthetrackingerrorcon-vergestoasmallneighborhoodoftheorigin.Finally,twosimulationexamplesaregiventodemonstratetheeffectivenessoftheproposedcontrolschemes.Copyright©2012JohnWiley&Sons,Ltd.Received14January2011;Revised16February2012;Accepted20February2012KEYWORDS:stochasticn
6、onlinearsystem;adaptivecontrol;neuralnetwork;RazumikhinNussbaumlemma;time-varyingdelay1.INTRODUCTIONTheexistenceoftimedelayisfrequentlyasourceofinstabilityinvarioussystems,forexample,intheturbojetengines,microwaveoscillators,nuclearreactors,networksystem,andsoon.Hence,theproblemofst
7、abilityanalysisandrobustcontrolfortime-delaysystemshasbeenoneofthemaincon-cernsofresearcherswishingtoinspectthepropertiesofsuchsystems[13].Robustcontrolproblemofuncertainnonlineartime-delaysystemshasreceivedlotsofattentions[410].Moreover,adaptiveneuralnetworkcontrolmethod[57]oradapt
8、ivefuzzycontrolmeth
