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1、華中科技大學(xué)博士學(xué)位論文脈沖切換系統(tǒng)H<,∞>優(yōu)化控制及應(yīng)用姓名：許弘雷申請(qǐng)學(xué)位級(jí)別：博士專業(yè)：系統(tǒng)工程指導(dǎo)教師：劉新芝20050517華中科技大學(xué)博士學(xué)位論文動(dòng)的陳氏混沌系統(tǒng)漸近鎮(zhèn)定到平衡點(diǎn)給出其充分條件并通過使具有不確定擾動(dòng)的兩個(gè)陳氏混沌系統(tǒng)的脈沖同步誤差系統(tǒng)魯棒漸近鎮(zhèn)定到平衡點(diǎn),實(shí)現(xiàn)兩個(gè)陳氏混沌系統(tǒng)的魯棒同步通過應(yīng)用非線性脈沖系統(tǒng)H優(yōu)化控制的結(jié)果論文研究陳氏混沌系統(tǒng)脈沖反饋￥H魯棒鎮(zhèn)定問題并對(duì)其進(jìn)行數(shù)值仿真￥最后總結(jié)全文的研究工作并且在脈沖切換系統(tǒng)H魯棒控制及脈沖控制方面展￥望與設(shè)想將來將要做的研究工作關(guān)鍵詞脈沖切換系統(tǒng)H優(yōu)化控制穩(wěn)定性分
2、析魯棒鎮(zhèn)定￥Riccati不等式線性矩陣不等式脈沖控制混沌系統(tǒng)II華中科技大學(xué)博士學(xué)位論文AbstractHoptimalcontrolasanimportantpartofsystemcontroltheoryandsystem￥engineeringattractsmoreandmoreinterestsofscientistswhostudycontrolandsystemengineering.Hoptimalcontroltheoryisoneofefficientmethodstoenhancesystem￥robust.Inthe
3、late20yearstheHcontroltheorydevelopedquickly.Ontheotherhand,￥inrecentyears,hybrid(switched)systemandimpulsivehybrid(switched)systemareattractivelatelyandattractlotsofscientistswhostudiesappliedmathematics,computerscience,systemengineering,etc,whichbringchancesandchallengesfo
4、rcontroltheoryandsystemengineering.Hoptimalcontroltheoryofimpulsiveswitchedsystemandapplicationof￥impulsivecontrolarestudied.Firstly,Hoptimalcontrolproblemoflinearimpulsive￥dynamicsystemsisstudied.ThenHoptimalcontrolproblemoflinearimpulsive￥switchedsystemisstudiedandthecorre
5、spondingcontrollawsareobtained.Then,theHoptimalcontrolproblemfornonlinearimpulsiveswitchedsystemswith￥norm-boundedtimevaryinguncertaintyisconsidered.BasedontheRiccatiinequalityapproach,wederivethesufficientconditionsofrobustHstabilityofnonlinear￥impulsiveswitchedsystemsandpr
6、esentlineartimeinvariantstatefeedbackcontrollawstostabilizethosesystems.Therobuststabilityandstabilizationproblemforaclassofimpulsiveswitchedsystemswithuncertaintyisstudied.Wedevelopthesufficientconditionsoftheimpulsiveswitchedsystems'uniformasymptoticalstabilityandgivelinea
7、rtimeinvariantstatefeedbackcontrollaws,whichcanrobustlystabilizetheimpulsiveswitchedsystemsbyusinglinearmatrixinequalitiesmethod.Futhermore,itisconcernedwithrobuststabilityproblemforimpulsiveswitchedsystemwithLQguaranteedcostcontrol.Someresultsforrobuststabilityofthisclassof
8、impulsiveswitchedsystemareobtained.Sufficientconditionsforexistenceofguaran
