变分法和最优控制论 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] epub pdf mobi txt 电子书 下载 2024

变分法和最优控制论 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] epub pdf mobi txt 电子书 下载 2024

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变分法和最优控制论 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] epub pdf mobi txt 电子书 下载 2024

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内容简介

　　This book grew out of my lecture notes for a graduate course on optimal control theory which I taught at the University of Illinois at Urbana-Champaign during the period from 2005 to 2010. While preparing the lectures， I have accumulated an entire shelf of textbooks on calculus of variations and optimal control systems.

内页插图

目录

Preface

1 Introduction
1.1 Optimal control problem
1.2 Some background on finite-dimensional optimization
1.2.1 Unconstrained optimization
1.2.2 Constrained optimization
1.3 Preview of infinite-dimensional optimization
1.3.1 Function spaces, norms, and local minima
1.3.2 First variation and first-order necessary condition
1.3.3 Second variation and second-order conditions
1.3.4 Global minima and convex problems
1.4 Notes and references for Chapter 1

2 Calculus of Variations
2.1 Examples of variational problems
2.1.1 Dido's isoperimetric problem
2.1.2 Light refiection and refraction
2.1.3 Catenary
2.1.4 Brachistochrone
2.2 Basic calculus of variations problem
2.2.1 Weak and strong extrema
2.3 First-order necessary conditions for weak extrema
2.3.1 Euler-Lagrange equation
2.3.2 Historical remarks
2.3.3 Technical remarks
2.3.4 Two specialcases
2.3.5 Variable-endpoint problems
2.4 Hanultonian formalism and mechanics
2.4.1 Hamilton's canonical equations
2.4.2 Legendre transformation
2.4.3 Principle of least action and conservation laws
2.5 Variational problems with constraints
2.5.1 Integral constraints
2.5.2 Non-integral constraints
2.6 Second-order conditions
2.6.1 Legendre's necessary condition for a weak minimum
2.6.2 Sufficient condition for a weak minimum
2.7 Notes and references for Chapter 2

3 Wom Calculus of Variations to Optimal Control
3.1 Necessary conditions for strong extrema
3.1.1 Weierstrass-Erdmann corner conditions
3.1.2 Weierstrass excess function
3.2 Calculus of variations versus optimal control
3.3 Optimal control problem formulation and as8umptions
3.3.1 Controlsystem
3.3.2 Cost functional
3.3.3 Targetset
3.4 Variational approach to the fixed-time, free-endpoint problem
3.4.1 Preliminaries
3.4.2 First variation
3.4.3 Second variation
3.4.4 Some comments
3.4.5 Critique of the variational approach and preview of the maximum principle
3.5 Notes and references for Chapter 3
……

4 The Maximum Principle
5 The Hamilton-Jacobi-Bellman Equation
6 The Linear Quadratic Regulator
7 Advanced Topics

Bibliography
Index

前言/序言

变分法和最优控制论 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] epub pdf mobi txt 电子书 下载 2024

变分法和最优控制论 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。很不错的，很好的读书，能给人启发，不错的还可以，需要认真读。。。。。。。

评分☆☆☆☆☆

京东促销卖的正版书很给力

评分☆☆☆☆☆

专业课课程教材，正版

评分☆☆☆☆☆

内容比较简单，但关于偏微分方程最优控制太少了

评分☆☆☆☆☆

最近活动，送货比以往慢了，书质量没问题

评分☆☆☆☆☆

一下子挑了几本，随手法翻了一下，感觉不错

评分☆☆☆☆☆

经典好书 好好好

评分☆☆☆☆☆

对于自由控制来说，这本书应该是比较好的选择。

评分☆☆☆☆☆

全英文版的，还没细看。

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