(完整版)现代控制理论考试卷及答案

Leaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi西北工业大学考试试题（卷）2008－2009学年第2学期开课学院自动化学院课程现代控制理论学时32一、简答题（对或错，10分）（1）描述系统的状态方程不是唯一的。（2）用独立变量描述的系统状态向量的维数不是唯一的。1（3）对单输入单输出系统，如果C(sIA)B存在零极点对消，则系统一定不可控或者不可观测。1（4）对多输入多数出系统，如果(sIA)B存在零极点对消，则系统一定不可控。（5）李雅普诺夫直接法的四个判定定理中所述的条件都是充分条件。（6）李雅普诺夫函数是正定函数，李雅普诺夫稳定性是关于系统平衡状态的稳定性。（7）线性定常系统经过非奇异线性变换后，系统的可控性不变。（8）用状态反馈进行系统极点配置可能会改变系统的可观测性。（9）通过全维状态观测器引入状态反馈来任意配置系统的闭环极点时，要求系统必须同时可控和可观测。（10）对一个线性定常的单输入单输出5阶系统，假定系统可控可观测，通过 设计 领导形象设计圆作业设计ao工艺污水处理厂设计附属工程施工组织设计清扫机器人结构设计 输出至输入的反馈矩阵H的参数能任意配置系统的闭环极点。二、试求下述系统的状态转移矩阵(t)和系统状态方程的解x1(t)和x2(t)。（15分）x&1(t)01x1(t)2x1(0)0tu(t),u(t)e,t0x&2(t)23x2(t)0x2(0)1y(s)10三、设系统的传递函数为。试用状态反馈方法，将闭环极点配置在－2，u(s)s(s1)(s2)－1＋j，－1－j处，并写出闭环系统的动态方程和传递函数。（15分）Y(s)s2四、已知系统传递函数2，试求系统可观 标准 excel标准偏差excel标准偏差函数exl标准差函数国标检验抽样标准表免费下载红头文件格式标准下载 型和对角标准型，并画出系统可U(s)s4s3Leaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi观标准型的状态变量图。（15分）a21x&xu五、已知系统的动态方程为101，试确定a，b值，使系统完全可控、完全可yb0x观。（15分）六、确定下述系统的平衡状态，并用李雅普诺夫稳定性理论判别其稳定性。（15分）22x&1x2kx1(x1x2)22x&2x1kx2(x1x2)七、以下两题任选一题（15分）1(1)证明状态转移矩阵性质：(t)(t)。(2)证明：非奇异性变换后，线性定常系统S（A,B,C,D）的可观测性不变。拉氏变换H(s)时间函数拉氏变换H(s)时间函数1/s1(t)1/(sa)eat1sn1tnn!1/(sa)2teat教务处印制共2页第2页Leaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi2009年《现代控制理论》 试卷 云南省高中会考试卷哪里下载南京英语小升初试卷下载电路下试卷下载上海试卷下载口算试卷下载 A评分标准及答案第一题（10分，每个小题答对1分，答错0分）（1）对（2）错（3）对（4）错（5）对（6）对（7）对（8）对（9）对（10）错第二题（15分）（1）(t)（7分）：公式正确3分，计算过程及结果正确4分s1sIA2s3211111s31(sIA)s1s2s1s2(s1)(s2)2s2212s1s2s1s22ete2tete2t(t)L1{(sIA)1}2et2e2tet2e2t（2）状态方程有两种解法（8分）：公式正确4分，计算过程及结果正确4分tx(t)(t)x(0)()Bu(t)d0t2tt2t2tx1(t)ee2ee(t)(4t1)eet2t22edt2tx2(t)e2e02e2e(4t3)e2e或者X(s)(sIA)1x(0)(sIA)1BU(s)2(s3)2111(s1)(s2)x(t)L{(sIA)x(0)}L{}4(s1)2(s2)422t2t2tt2tx1(t)ee1(s1)s1s24teeet2tL{}tt2tx2(t)e2e4444te3e2e(s1)2s1s2第三题（15分，答案不唯一，这里仅给出可控标准型的结果）（1）系统动态方程（3分）0100x001x0u0231y1000xLeaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi（2）状态反馈矩阵（5分，公式正确3分）kk0k1k2uvkx由闭环极点和闭环系统特征多项式有32I(ABK)(3k2)(2k1)k0(2)(1j)(1j)34264比较，k441。0100x001x0v（3）闭环系统的动态方程（3分）：4641y1000xY(s)10（4）闭环系统的传递函数（4分）：G(s)32U(s)s4s6s4Y(s)s2第四题（15分）已知系统传递函数2，试求系统可观标准型和对角标准型，U(s)s4s3并画出相应的系统状态图。答：（1）可观标准型及状态图（5分）01x0x1u34x1可控标准型为：2x1y21x20－3x2x1u14x1根据对偶原理，系统可观标准型为：2xy011x2（2）系统可观测标准型状态变量图如下：（5分）Leaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi..x1x1u1x21x2y2x1xss-3-4（3）对角标准型（5分，答案不唯一，两种常见形式如下）Y(s)s2s21212G(s)2U(s)s4s3(s3)(s1)s3s1－30x112xu121201x212当x1(s)u(s),x2(s)u(s)时，s3s1x1y11x2－30x11xu1101x21当x1(s)u(s),x2(s)u(s)时，s3s1x1y1212x2第五题（15分）。a21xu已知x101，试确定a，b值，使系统完全可控、完全可观。yb0x1a2SBAB,系统可控,detBAB1(a2)a10.11a1；Cb0C2V,系统可观，det2b0.CAab2bCAb0；系统完全可控、完全可观的条件是a1且b0。可控部分正确――7分：公式正确4分，可控性矩阵计算正确2分，a值正确1分；可观部分正确――7分：公式正确4分，可观性矩阵计算正确2分，b值正确1分；总结论正确1分。Leaders:provincialagriculturalworkConferenceheldinXX,whichisourconcernandlove,willgreatlypromoteXXagriculturalandruraleconomicdevelopment.Firstofall,IamrepresentingXXmunicipalpartyCommitteeandGovernment,extendawarmwelcometotheattendingleaders!XXhasbeengivensupportandassistancetotheprovinceofagriculture,provincialagriculturalOffice,andexpressedheartfeltthankstoallthefriends!below,IXXwithabriefreport.AbasicXXofXXmunicipalitylocated(cities,omitted).Oneisthesuperiorecologicalenvironment.XXblue,clear,green,water,air,70%oflandintheterritoryiscoveredwithforests,grasslands,wetlandsandwaters,built7thousandsofsquarekilometersofthetotalareaofnaturereserves.Withinmajorindustrialpollutionsources,airqualityatthenationallevel,nationallevels,waterquality,soilpollution,"pureland"reputation,washeraldedbytheUnitedNationsenvironmentalofficials"themostsuitableplaceforhumansurvival."Second,theenrichmentofnaturalresources.Atotalareaofmorethan5millionmuofarableland(whichowned1.53millionacres),theannualgrainoutputofmorethan2milliontonsandislocatedintheinternationallyrecognizedgold"cattle",thereshouldbemorethan400,000acresofgrazinggrassland,developinganimalhusbandryconditions;atotalareaof4.1millionacresofforestland,richinpreciouswoodsuchaspine,ash,yellowpineapple,standingtimbervolumeofmorethan26millioncubicmeters.ForestXiahashundredsofspeciespreciouswildlife,morethan200morespeciespreciousherbs,annualSuperthousandtonsofwildmushroomandreservesSuper100,000tonsofmountaindish;nectarplantthroughout,canbee100,000group,isChina"beeofXiang",andnationalNortheastblackbeereservesandimportantofbeeproductsproductionbase;canusingwater2.5billioncubimetres,shouldbefishingwater460,000acres,richbigsalmon,and"threespentfiveLuo",Northcoldwaterspecialtyfish;foundandprovedreservesofmineralresourceshas36species.Third,geopoliticaladvantages.XXopenmidpointislocatedintheeasternpartoftheprovincealongtheborder,264kmlongborder,withnationalroadpassengerandfreighttransportport,builtontheborderbetweenChinaandRussiahasthelargestpermanentboundaryRiverBridge,runningatfullcapacitytheannualcargocapacityofupto2.6milliontons.Russiatwo(HABAandMarina),twocities(ImanandLesozavodsk)istheRussianFarEastindevelopedareas.Lesozavodskisonly8kmfromXXportcorrespondingtotheportofmarkovo,LuRinuostationisoneofthreerailwaymarshallingyardsinthefarEast,thefarEast-Siberianrailwayandaparallelroadrunsthroughthepass.Byrailandroad,totheNorthbyHABAcapitalKhabarovsk,theRussianhinterland,radiationintheCISandEasternEuropeancountries;totheSouththroughtheportofVladivostokandthenahuocardonthesea,toreachSouthKorea,JapanandotherPacificRimcountriesandregions.Fourisrichintourismresources.XXtouristresourcestypes,manyattractions,beautifulsceneryoftheSino-Russianborder-river-wusuliRiver,afamoustreasureisland,knownasthe"OrientalMaginotline"oftheJapaneseinvadingarmyTigerundergroundfortressruins,GeneralChi第六题（15分）（1）（5分）原点x1x20是系统唯一的平衡状态22222（2）（6分）V(X)x1x2V(X)2k(x1x2)（V(x)答案不唯一，仅供参考）（3）（4分）K>0时系统大范围一致渐近稳定；K=0时系统是李雅普诺夫意义下稳定的(或系统一致稳定)；K〈0时系统不稳定。写对平衡状态表达式2分；求出原点x1x20是系统的平衡状态2分； 说明 关于失联党员情况说明岗位说明总经理岗位说明书会计岗位说明书行政主管岗位说明书 唯一性1分。写对李雅普诺夫函数3分；求导正确3分；正确 分析 定性数据统计分析pdf销售业绩分析模板建筑结构震害分析销售进度分析表京东商城竞争战略分析 出上述（3）中的3种情况分别为2分、1分、1分，其中K>0时未说明大范围和一致性稳定各扣0.5分。第七题（15分，（1）和（2）小题任选一题）（1）小题：证明过程引用的公式正确7分，证明过程严谨正确8分。证明：由(t1t2)(t1)(t2)和（0）I令t1t2，有1(t)(t)I所以(t)(t)证毕。(2)小题：写对变换后的可观测性矩阵8分，仅写对非奇异变换公式4分；证明过程正确严谨7分。证明：V(CP)T(P1AP)T(CP)T{(P1AP)n1}T(CP)TT1TT1n1TTrankVrank(CP)(PAP)(CP){(PAP)}(CP)TTTTn1TTrankPCAC(A)CrankPTVrankV.