24349.分?jǐn)?shù)階微分系統(tǒng)控制與穩(wěn)定性理論問題的研究

1、獨(dú)創(chuàng)性聲明本人聲明所呈交的學(xué)位論文是本人在導(dǎo)師指導(dǎo)下進(jìn)行的研究工作及取得的研究成果據(jù)我所知，除了文中特別加以標(biāo)注和致謝的地方外，論文中不包含鍶姘，其他人已經(jīng)發(fā)表或撰寫過的研究成果，也不包含為獲得督黼其他教育機(jī)構(gòu)的學(xué)位或證書而使用過的材料與我一同工作的同志對本研究所做的任何貢獻(xiàn)均己在論文中作了明確的說明并表示謝意學(xué)位論文作者簽名：俊髀簽字日期：y他66學(xué)位論文版權(quán)使用授權(quán)書本學(xué)位論文作者完全了解棗黔燃有關(guān)保留、使用學(xué)位論文的規(guī)定，有權(quán)保留

2、并向國家有關(guān)部門或機(jī)構(gòu)送交論文的復(fù)印件和磁盤，允許論文被查閱和借閱本人授權(quán)安杈術(shù)熵以將學(xué)位論文的全部或部分內(nèi)容編入有關(guān)數(shù)據(jù)庫進(jìn)行檢索，可以采用影印、縮印或掃描等復(fù)制手段保存、匯編學(xué)位論文(保密的學(xué)位論文在解密后適用本授權(quán)書)學(xué)位論文作者簽名：俊群簽字日期：加f夠年6月16日學(xué)位論文作者畢業(yè)去向：工作單位：通訊地址：導(dǎo)師簽名：簽字日期和解多月電話：’缸66洳郵編：凰蛾／日ABSTRACTHHRosenbrockestablishedthe

3、degenerateddifferentialsystemin1974whenhedis—cussedthecomplexgridproblemThenthedegradationphenomenonhasbeenspringupinrealitysystems，suchascontrolsystems，managementsystems，ecologicalsystems，pow—ersystems，industrialenginee

4、ringsystemsetcTheexpertsandscholarsbothathomeandabroadpaymoreandmoreattentiontothisbranch，andmakeasystemicresearch。Mean—while，withtheextensiveuseofmathematicsandthedevelopmentofinterdisciplinaryitWasfoundthatthenewfracti

5、onalmodelsaremoresuitableandaccurateformodelingsystemsthantheordinarymodelsThisthesisfocusesontheproblemsofcontroltheoryandstabilityabouttheseabovesystemsAlthoughthestudyofcontroltheoryandstabilityhasbeenrelativelymature

6、，mostisforintegerordersystems，includingwithdegenerationHowever，thestudyoffractionaldifferential％rstemsespeciallyofsingularfractionaldifferentialsystemisfewer。Inthispaper，wediscussabouttheproblemofcontroltheoremsandstabil

7、ityofthesingularfractionaldifferentialsystemasfollows：㈨篙≯M∞邳Themaincontentofthisthesisisarrangedasfollows：(1)Inthefirstchapter：wefirstintroducebrieflytotherealitybackgroundandthesignificanceofresearchofsingularfractional

8、differentialsystems：thenthepreknowledgewhichisusefulinthepaperarepresentedInthesecondchapter：bytheLaplacetransformmethod：wefirstobtainthesolutionofstateequationofthesingularfractionaldifferentialsystem(I)Thenbasedonitwed

9、iscussthenecessaryandsufficientconditiononthecontrollabilityforthesystem(1)FinallywegivetwoexamplestoillustratetheapplicationInthethirdchapter，byusingasimilarmethodasoneinthepreviouschapter，weobtainacriterionontheobserva

10、bilityforthesystem(1)whichisnecessaryandsufficientInthefourthchapter，byusinganalyticalmethod，anovelstabilitycriterionforaclassofnonlinearfractionaldifferentialsystemisderivedComparedwiththeobviousresults，ourcriterionisst