鲁棒控制理论教程

图书标准信息

• 作者 [美]杜拉德 著
• 出版社 世界图书出版公司
• 出版时间 2014-07
• 版次 1
• ISBN 9787510077791
• 定价 69.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 417页
• 正文语种 英语
• 丛书 经典数学丛书

【内容简介】

　　Thetextiswrittentocompriseatwo-quarterortwo-semestergraduatecourseinappliedmathematicsorengineering.Alternatively,forstudentswithbackgroundinstatespacemethods,aseriousapproachatasignificantportionofthematerialcanbeachievedinonesemester.ThematerialhasbeensuccessfullytaughtinthiscapacityduringthepastfewyearsbytheauthorsatCaltech,UniversityofWaterloo,UniversityofIllinois,andUCLA.Studentsareassumedtohavesomefamiliaritywithlinearalgebra,andotherwiseonlyadvancedcalculusandbasiccomplexanalysisarestrictlyrequired.Thepresentationstyleassumes,however,amathematicallyinclinedreader,sincewefocusonacompletetheoreticaJfoundationratherthanonapplicationexamples.

【目录】

SeriesPreface
Preface
Figures
0Introduction
0.1Systemrepresentations
0.1.1Blockdiagrams
0.1.2Nonlinearequationsandlineardecompositions
0.2R,obustcontrolproblemsanduncertainty
0.2.1Stabilization
0.2.2Disturbancesandcommands
0.2.3Unmodeleddynamics
Notesandreferences

1PreliminariesinFiniteDimensionalSpace
1.1Linearspacesandmappings
1.1.1Vectorspaces
1.1.2Subspaces
1.1.3Bases,8pans,andlinearindependence
1.1.4Mappingsandmatrixrepresentations
1.1.5Changeofbasisandinvariance
1.2Subsetsandconvexity
1.2.1Somebasictopology
1.2.2Convexsets
1.3Matrixtheory
1.3.1EigenvaluesandJordanform
1.3.2Self-adjoint,unitary,andpositivedefinitematrices
1.3.3Singularvaluedecomposition
1.4Linearmatrixinequalities
Exercises
Notesandreferences

2StateSpaceSystemTheory
2.1Theautonomoussystem
2.2Controllability
2.2.1Reachability
2.2.2Propertiesofcontrollability
2.2.3Stabilizability...
2.2,4Controllabilityfromasingleinput
2.3Eigenvalueassignment
2.3.1Single-inputcase
2.3.2Multi-inputcase
2.4Observability...
2,4.1Theunobservablesubspace
2.4.2Observers
2.4.3Observer-basedControllers
2.5Minimalrealizations
2.6Transferfunctionsandstatespace
2.6.1R,ationalmatricesandstatespacerealizations
2.6.2Minimality
Exercises
Notesandreferences

3LinearAnalysis
3.1Normedandinnerproductspaces
3.1,1Completespaces
3.2Operators
3.2.1Banachalgebras
3.2.2Someelementsofspectraltheory
3.2.3AdjointoperatorsinHilbertspace
3.3Frequencydomainspaces:Signals
3.3.1Thespace/2andtheFouriertransform
3.3.2ThespacesH2andH21andtheLaplacetransform
3.3.3Summarizingthebigpicture
3.4Frequencydomainspaces:Operators
3.4.1Timeinvarianceandmultiplicationoperators
3.4.2Causalitywithtimeinvariance
……