Continuous-time Hammerstein system identification from sampled data

Continuous-time Hammerstein system identification from sampled data

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1、IEEETRANSACTIONSONAUTOMATICCONTROL,VOL.51,NO.7,JULY20061195[23]E.D.Sontag,Smoothstabilizationimpliescoprimefactorization,IEEETrans.Autom.Control,vol.34,no.4,pp.435443,Apr.1989.[24],Furtherfactsaboutinputtostatestabilization,IEEETrans.Autom.Control,vol.35,no.4,pp.473476,

2、Apr.1990.[25]E.D.SontagandY.Wang,Oncharacterizationsoftheinput-to-statestabilityproperty,Syst.ControlLett.,vol.24,pp.351359,1995.[26],Newcharacterizationsofinput-to-statestability,IEEETrans.Autom.Control,vol.41,no.9,pp.12831294,Sep.1996.Fig.1.Hammersteinsystem.[27]A.R.T

3、eel,ConnectionsbetweenRazumikhin-typetheoremsandtheISSnonlinearsmallgaintheorem,IEEETrans.Autom.Control,vol.43,no.7,pp.960964,Jul.1998.[28]A.R.Teel,D.Nesicˇ´,andP.V.Kokotovic,Anoteoninput-to-statestabilityofsampled-datanonlinearsystems,inProc.37thIEEEConf.fromsampledinp

4、utoutputsignals,i.e.,notfromfunctionsoftimebutonDecisionandControl,1998,pp.24732478.fromnumbersequencesbeingaresultofsampling.Thedistancebe-[29]Z.WangandF.Paganini,Globalstabilityofnonlinearcongestiontweenconsecutivesamplinginstantsmaychangeintime,samplingcancontrolwith

5、time-delay,inAdvancesinCommunicationControlNet-beuniformornot.Weshowthatourkernelalgorithms,oneofflineandworks,S.Tarbouriech,C.T.Abdallah,andJ.Chiasson,Eds.Heidel-berg,Germany:Springer-Verlag,2004,vol.308,pp.199222,Lecturetwosemirecursive,convergetotheunknowncharacterist

6、icandgiveNotesinControlandInformationSciences.convergencerates.Wealsoexaminetherelationbetweenvariousways[30]W.S.WongandR.W.Brockett,Systemswithfinitecommunicationofsamplingandconvergenceanddemonstratewhichmethodsofsam-bandwidthconstraintsII:Stabilizationwithlimitedinfor

7、mationfeed-back,IEEETrans.Autom.Control,vol.44,no.5,pp.10491053,Mayplingaregoodandwhicharenot.Thetimeintervalthesamplingis1999.performedonmustincreasetoinfinitysufficientlyquickly.II.STATEMENTOFTHEPROBLEMTheidentifiedcontinuous-timeHammersteinsystemisshowninFig.1.Theinputs

8、ignalfU(t);t2(01;1)gisastationaryContinuous-TimeHammersteinSystemIdentification2whiterandomprocesswithautocovar

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