出版社：世界图书出版公司北京公司
年代：2008
定价：39.0
本书是一本难得的讲述非光滑分析和控制理论的书。目次：导论；Hilbert空间的迫近微积分；Banach空间的广义梯度；专题；控制理论简述。
Preface
ListofFigures
0Introduction
1AnalysisWithoutLineaxization
2Flow-InvariantSets
3Optimization
4ControlTheory
5Notation
1ProximalCalculusinHilbertSpace
1ClosestPointsandProximalNormals
2ProximalSubgradients
3TheDensityTheorem
4MinimizationPrinciples
5QuadraticInf-Convolutions
6TheDistanceFunction
7LipschitzFunctions
8TheSumRule
9TheChainRule
10LimitingCalculus
11ProblemsonChapter1
2GeneralizedGradientsinBanachSpace
1DefinitionandBasicProperties
2BasicCalculus
3RelationtoDerivatives
4ConvexandRegularFunctions
5TangentsandNormals
6RelationshiptoProximalAnalysis
7TheBouligandTangentConeandRegularSets
8TheGradientFormulainFiniteDimensions
9ProblemsonChapter2
3SpecialTopics
1ConstrainedOptimizationandValueFunctions
2TheMeanValueInequality
3SolvingEquations
4DerivateCalculusandRademachersTheorem
5SetsinL2andIntegralb-~nctionals
6TangentsandInteriors
7ProblemsonChapter3
4AShortCourseinControlTheory
1TrajectoriesofDiffercntiMInclusions
2WeakInvariance
3LipschitzDependenceandStrongInvariance
4Equilibria
5LyapounovTheoryandStabilization
6MonotonicityandAttainability
7TheHamiltonJacobiEquationandViscositySolutions
8FeedbackSynthesisfromSemisolutions
9NecessaryConditionsforOptimalControl
10NormalityandControllability
11ProblemsonChapter4
NotesandComments
ListofNotation
Bibliography
Index
Nonsmoothanalysisreferstodifferentialanalysisintheabsenceofdifferentiability.Itcanberegardedasasubfieldofthatvastsubjectknownasnonlinearanalysis.Whilenonsmoothanalysishasclassicalroots(weclaimtohavetraceditslineagehacktoDini),itisonlyinthelastdecadesthatthesubjecthasgrownrapidly.Tothepoint,infact,thatfurtherdevelopmenthassometimesappearedindangerofbeingstymied,duetotheplethoraofdefinitionsandunclearlyrelatedtheories.
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| 出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
| 版次 | 1版 | 印次 | 1 |
| 定价(元) | 39.0 | 语种 | 英文 |
| 尺寸 | 14 | 装帧 | 平装 |
| 页数 | 印数 | 1000 | |
非光滑分析和控制论是世界图书出版公司北京公司于2008.12出版的中图分类号为 O17 的主题关于 数学分析－研究生－教材－英文 的书籍。