變分法和最優控製論 [Calculus of Variations and Optimal Control Theory:a Concise Introduction] 下載 mobi epub pdf 電子書 2024

☆☆☆☆☆
簡體網頁||繁體網頁



點擊這裡下載

類似圖書 點擊查看全場最低價

---

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

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

評分☆☆☆☆☆

經典好書 好好好

評分☆☆☆☆☆

經濟實惠好用

評分☆☆☆☆☆

貌似不錯的教材，希望對研究有幫助

評分☆☆☆☆☆

發貨速度快，書還沒來得及看

評分☆☆☆☆☆

經典

評分☆☆☆☆☆

圖書是正品，內容很不錯，值得推薦。

評分☆☆☆☆☆

全英文版的，還沒細看。

評分☆☆☆☆☆

很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。很不錯的，很好的讀書，能給人啓發，不錯的還可以，需要認真讀。。。。。。。

評分☆☆☆☆☆

內容比較簡單，但關於偏微分方程最優控製太少瞭

類似圖書 點擊查看全場最低價