优化方法。亨宁Tolle。柏林，施普林格出版社，1975。226页，插图。Dm 57.70;24.80美元。

IF 1.4 4区工程技术 Q2 ENGINEERING, AEROSPACE Aeronautical Journal Pub Date : 1975-12-01 DOI:10.1017/S0001924000049502

J. H. Sims Williams

{"title":"优化方法。亨宁Tolle。柏林，施普林格出版社，1975。226页，插图。Dm 57.70;24.80美元。","authors":"J. H. Sims Williams","doi":"10.1017/S0001924000049502","DOIUrl":null,"url":null,"abstract":"The book is a teaching text in which the author has used problems of types (i) and (ii) to help the student understand the ideas needed in the solution of the control problem, which is clearly his principal interest. The Calculus of Variations, the Pontryagin Maximum Principle and first and second order gradient methods are derived in turn and each is applied to a simple problem from the aerospace field. Finally, the author introduces the basic algorithm of dynamic programming and from the Dynamic Programming Functional Equation derives the HamiltonJacobi Differential Equation. The book is a good introductory test for engineering and mathematical students of Optimal Control. A set of worked examples are provided at the end; although the problems are all from the aerospace field they are accessible to all students. J . H. SIMS WILLIAMS Engineering Anthropometry Methods","PeriodicalId":50846,"journal":{"name":"Aeronautical Journal","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimisation Methods. Henning Tolle. Springer-Verlag, Berlin. 1975. 226 pp. Illustrated. Dm 57.70; $24.80.\",\"authors\":\"J. H. Sims Williams\",\"doi\":\"10.1017/S0001924000049502\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The book is a teaching text in which the author has used problems of types (i) and (ii) to help the student understand the ideas needed in the solution of the control problem, which is clearly his principal interest. The Calculus of Variations, the Pontryagin Maximum Principle and first and second order gradient methods are derived in turn and each is applied to a simple problem from the aerospace field. Finally, the author introduces the basic algorithm of dynamic programming and from the Dynamic Programming Functional Equation derives the HamiltonJacobi Differential Equation. The book is a good introductory test for engineering and mathematical students of Optimal Control. A set of worked examples are provided at the end; although the problems are all from the aerospace field they are accessible to all students. J . H. SIMS WILLIAMS Engineering Anthropometry Methods\",\"PeriodicalId\":50846,\"journal\":{\"name\":\"Aeronautical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"1975-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Aeronautical Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1017/S0001924000049502\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, AEROSPACE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Aeronautical Journal","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1017/S0001924000049502","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}

引用次数: 0

摘要

在这本书中，作者使用了(i)和(ii)类型的问题来帮助学生理解解决控制问题所需的思想，这显然是他的主要兴趣。依次推导了变分法、庞特里亚金极大值原理和一阶和二阶梯度法，并分别应用于航空航天领域的一个简单问题。最后，介绍了动态规划的基本算法，并从动态规划泛函方程导出了hamilton - jacobi微分方程。这本书是一个很好的入门测试工程和数学学生的最优控制。最后给出了一组工作实例;虽然这些问题都来自航空航天领域，但它们对所有学生都是开放的。J。H. SIMS WILLIAMS工程人体测量方法

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Optimisation Methods. Henning Tolle. Springer-Verlag, Berlin. 1975. 226 pp. Illustrated. Dm 57.70; $24.80.

The book is a teaching text in which the author has used problems of types (i) and (ii) to help the student understand the ideas needed in the solution of the control problem, which is clearly his principal interest. The Calculus of Variations, the Pontryagin Maximum Principle and first and second order gradient methods are derived in turn and each is applied to a simple problem from the aerospace field. Finally, the author introduces the basic algorithm of dynamic programming and from the Dynamic Programming Functional Equation derives the HamiltonJacobi Differential Equation. The book is a good introductory test for engineering and mathematical students of Optimal Control. A set of worked examples are provided at the end; although the problems are all from the aerospace field they are accessible to all students. J . H. SIMS WILLIAMS Engineering Anthropometry Methods

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Aeronautical Journal 工程技术-工程：宇航

CiteScore

3.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Aeronautical Journal contains original papers on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are therefore solicited on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are also welcomed which review, comprehensively, the results of recent research developments in any of the above topics.