變分法和最優控製論 [Calculus of Variations and Optimal Control Theory:a Concise Introduction]

變分法和最優控製論 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] pdf epub mobi txt 電子書 下載 2025

[美] 利伯遜(Daniel Liberzon) 著
圖書標籤:
  • 變分法
  • 最優控製
  • 數學分析
  • 應用數學
  • 優化
  • 控製理論
  • 微積分
  • 工程數學
  • 數學模型
  • 計算數學
想要找書就要到 新城書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!
齣版社: 世界圖書齣版公司
ISBN:9787510061417
版次:1
商品編碼:11316303
包裝:平裝
叢書名: 經典教學叢書
外文名稱:Calculus of Variations and Optimal Control Theory:a Concise Introduction
開本:16開
齣版時間:2013-10-01
用紙

具體描述

內容簡介

  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.

內頁插圖

目錄

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



用戶評價

評分

計算機係列經典原版教材,值得看~

評分

滿三百減兩百的時候買的,很劃算。

評分

很好的書w

評分

很好,印刷質量好

評分

非常好的寶貝,下次還買

評分

對於自由控製來說,這本書應該是比較好的選擇。

評分

價格便宜,質量很好。適閤學習

評分

最近活動,送貨比以往慢瞭,書質量沒問題

評分

經典好書 好好好

相關圖書

本站所有內容均為互聯網搜尋引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 book.cndgn.com All Rights Reserved. 新城书站 版權所有