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1、摘要混沌是確定系統(tǒng)的非線性動(dòng)力系統(tǒng)中出現(xiàn)的隨機(jī)現(xiàn)象。由于其在概念上的突破,混沌已成為當(dāng)今科學(xué)的前沿。細(xì)胞神經(jīng)網(wǎng)絡(luò)模型也是近些年的研究熱點(diǎn),目前在人工智能方面獲得了廣泛應(yīng)用。然而,將混沌學(xué)與細(xì)胞神經(jīng)網(wǎng)絡(luò)結(jié)合進(jìn)行研究的工作仍舊不夠。本文主要在混沌控制與同步等方面進(jìn)行了研究,嘗試將混沌控制和同步的相關(guān)內(nèi)容與細(xì)胞神經(jīng)網(wǎng)絡(luò)的模型相結(jié)合,提出一種控制器設(shè)計(jì)方案,成功實(shí)現(xiàn)了混沌系統(tǒng)對(duì)細(xì)胞神經(jīng)網(wǎng)絡(luò)模型的追蹤控制,分析了一類神經(jīng)網(wǎng)絡(luò)模型之間的保密通信并驗(yàn)證了一種全新的同步算法在混沌神經(jīng)網(wǎng)絡(luò)中的有效性,這些都是前人的工作中所欠缺的。本文在以下幾方面做了一
2、些具體工作:(1)提出一種控制器構(gòu)造方案。解決了一類細(xì)胞神經(jīng)網(wǎng)絡(luò)系統(tǒng)和“統(tǒng)一”混沌系統(tǒng)的追蹤控制問題,以此為理論基礎(chǔ)實(shí)現(xiàn)了異結(jié)構(gòu)混沌系統(tǒng)的同步。(2)介紹了神經(jīng)網(wǎng)絡(luò)中存在的混沌現(xiàn)象,以現(xiàn)代控制理論為基礎(chǔ)實(shí)現(xiàn)了一類細(xì)胞神經(jīng)網(wǎng)絡(luò)模型基于觀測(cè)器理論的混沌同步并將該方法應(yīng)用于保密通信中。此外,還依據(jù)一種全新算法實(shí)現(xiàn)了多個(gè)神經(jīng)網(wǎng)絡(luò)混沌節(jié)點(diǎn)問的同步。(3)研究了Chua系統(tǒng)電路模型的自同步,比較了混沌控制中兩種最常用的方法一線性反饋控制與自適應(yīng)反饋控制。關(guān)鍵詞:混沌I司步細(xì)虢神經(jīng)網(wǎng)絡(luò)追蹤控制AbstractChaosISarandomphenom
3、enonindeterministicnonlineardynamicsystems.Becauseofthebreakthroughoftheconcept,chaosistheforelandoftoday’Sscience.111emodelofcellularneuralnetwork(CNN)isalsoaresearchhotspotinrecentyears.ButfewresearchesaboutconnectingthechaoticsystemsandCNNhavebeendoneespeciallytheres
4、earchabouthowtorealizethetrackingcontrolofCNN.Thisthesisfocusesonchaoscontrolandchaoticsynchronization.triestoconnectrelatedcontentofchaostheorywitIlthemodelofcellularneuralnetwork,realizesthecommunicationsecuritybetweentwocellularneuralnetworksandconfirmsthevalidityofa
5、novelalgorithmwhichisappliedtothesynchronizationresearchincellularneuralnetworks.Allofthesearerarelyinvolvedinformerwork.Inthispaper,someparticularworksinfollowingaspectshavebeendone:(1)AnoveltrackingcontrolmethodispmposedforCNNmodelandunifiedchaoticsystem.毗methodenable
6、sthesignalofthemodelapproachtoanydesiredsmoothorbitatallexponentrate.Basedonthis,thesynchronizationofsuchCNNmodelwithitselfandwithanothersystemisanalyzed.Computersimulationsprovetheeffectivenessoftheproposedmethod.(2)Thechaoticphenomenoninneuralnetworksisdescribed.Accor
7、dingtomodemcontroltheory,thesynchronizationofatypeofcellularneuralnetwork(cry)isachieved,whichisappliedtocommunicationsecurity.Additionallybyusinganovelalgorithm,thesynchronizationtrialofsomechaoticnodesissuccessful.Eachofthesenodesisacellularneuralnetwork.(3)Synchroniz
8、ationresearchonthecircuitmodelofChuasystemhasbeendiscussed.Twoix)mmonmethodsinchaoticcontrol--linearfeedbackco