時(shí)滯神經(jīng)網(wǎng)絡(luò)的混沌同步研究.pdf

1、東南大學(xué)碩士學(xué)位論文時(shí)滯神經(jīng)網(wǎng)絡(luò)的混沌同步研究姓名：羅斌申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：數(shù)學(xué)；應(yīng)用數(shù)學(xué)指導(dǎo)教師：曹進(jìn)德20110111AbstractSincethediscoveryofLorenz’Sattractor，theissuesonthecontrolandsynchronizationofchaoticsystemshavereceivedmuchattentionofresearchersfrommanyfieldssucha

2、ssecurecommunications，nonlinearscience，automaticcontrol，physics，etcHowever，itisdifficulttoachievechaoticsynchronizationbecausethestatesofchaoticsystemsareverysensitivetoinitialconditionsIntheearly1990s，theOGYalgorithmwas

3、successfullyappliedtothecontrolofachaoticsystem，andPecoraandCarrollrealizedthesynchronizationbetweentwochaoticsystems，ie，thedriveandresponsesystemsThesetwopioneeringworksbroughtthereasearchonchaoticsystemsintoaneweraBase

4、dontheLyapunovstabilitytheorymatrixtheorytheadaptivecontrolmethod，andimpulsivecontrolalgorithm，inthisthesis，weinvestigatethesynchronizationproblemsofdelayedneuralnetworksandlinearlycoupleddelayedneuralnetworksThemainwork

5、ofthisthesiscanbelistedasfollows：First，thethesisprovidesbriefintroductiononthebackgroundofdelayedneuralnetworksandcoupledneuralnetworkswithdelaySecond，thesychronizationofdelayedneuralnetworksisstudiedusingadaptiveandimpu

6、lsecontrolmethods，andsomesuffientconditionsarederivedtoensuretheconvergenceofsynchronizationSeveralnumericalexamplesareprovidedtoverifytheeffectivenessoftheconclusionThird，thesynchronizationofcoupleddelayedneuralnetworks

7、isinvestigatedbasedonpinningcontrolandimpulsivecontrolalgorithmsSomenumericalsimulationexamplesaregiventodemonstratetheeffectivenessofthetheoreticalresultsKeywords：Synchronization，delayedneuralnetwork，coupleddelayedneura