离散与微分包含的逼近和优化
内容简介
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《离散与微分包含的逼近和优化》主要介绍了数学规划的基本概念和原则，书中除了包括公认的变分分析和优化结果外还增添了许多新内容。优控制理论在科学与工程方面都有大量的应用，《离散与微分包含的逼近和优化》内容全面，知识点丰富，适合高等院校师生和数学爱好者参考阅读。
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目录
DedicationPrefaceAcknowledgmentsAbout the Author1 Convex Sets and Functions1．1 Introduction1．2 Some Basic Properties of Convex Sets1．3 Convex Cones and Dual Cones1．4 The Main Properties of Convex Functions1．5 Conjugate of Convex Function1．6 Directional Derivatives and Subdifferentials2 Multivalued Locally Adjoint Mappings2．1 Introduction2．2 Locally Adjoint Mappings to Convex Multivalued Mappings2．3 The Calculus of Locally Adjoint Mappings2．4 Locally Adjoint Mappings in Concrete Cases2．5 Duality Theorems for Convex Multivalued Mappings3 Mathematical Programming and Multivalued Mappings3．1 Introduction3．2 Necessary Conditions for an Extremum in Convex Programming Problems3．3 Lagrangian and Duality in Convex Programming Problems3．4 Cone of Tangent Directions and Locally Tents3．5 CUA of Functions3．6 LAM in the Nonconvex Case3．7 Necessary Conditions for an Extremum in Nonconvex Problems4 Optimization of Ordinary Discrete and Differential Inclusions and t1-Trausversality Conditions4．1 Introduction4．2 Optimization of Ordinary Discrete Inclusions4．3 Polyhedral Optimization of Discrete and Differential Inclusions4．4 Polyhedral Adjoint Differential Inclusions and the Finiteness of Switching Numbers4．5 Bolza Problems for Differential Inclusions with State Constraints4．6 Optimal Control of Hereditary Functional-Differential Inclusions with Varying Time Interval and State Constraints4．7 Optimal Control of HODI of Bolza Type with Varying Time Interval5 On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures5．1 Introduction5．2 Duality in Mathematical Programs with Equilibrium Constraints5．3 Duality in Problems Governed by Polyhedral Maps5．4 Duality in Problems Described by Convex Discrete Inclusions5．5 The Main Duality Results in Problems with Convex Differential Inclusions6 Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation6．1 Introduction6．2 The Optimality Principle of Boundary-Value Problems for Discrete-Approximation and First-Order Partial Differential Inclusions and Duality6．3 Optimal Control of the Cauchy Problem for First-Order Discrete and Partial Differential Inclusions6．4 Optimal Control of Darboux-Type Discrete-Approximation and Differential Inclusions with Set-Valued Boundary Conditions and Duality6．5 Optimal Control of the Elliptic-Type Discrete and Differential Inclusions with Dirichlet and Neumann Boundary Conditions via Approximation6．6 Optimization of Discrete-Approximation and Differential Inclusions of Parabolic Type and Duality6．7 Optimization of the First Boundary Value Problem for Hyperbolic-Type Discrete-Approximation and Differential InclusionsReferencesGlossary of Notations
封面
书名:离散与微分包含的逼近和优化
作者:(土)马哈茂多夫(Mahmudov，E.
页数:379
定价:¥58.0
出版社:哈尔滨工业大学出版社
出版日期:2015-08-01
ISBN:9787560355207
PDF电子书大小:148MB 高清扫描完整版