{"title":"最佳涂料，Bang-Bang控制，和梯度技术","authors":"W. Hager, R. Rostamian","doi":"10.1002/OCA.4660080102","DOIUrl":null,"url":null,"abstract":"A model for a viscoelastic coating is derived and the coating reflectivity is determined. A coating which minimizes the reflection of sound waves is partly bang-bang and partly singular. A new gradient type algorithm is presented for computing the optimal control. Formulae for the gradient of the cost in optimal control are derived in various settings.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"855 1","pages":"1-20"},"PeriodicalIF":2.0000,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080102","citationCount":"6","resultStr":"{\"title\":\"Optimal Coatings, Bang-Bang Controls, And Gradient Techniques\",\"authors\":\"W. Hager, R. Rostamian\",\"doi\":\"10.1002/OCA.4660080102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A model for a viscoelastic coating is derived and the coating reflectivity is determined. A coating which minimizes the reflection of sound waves is partly bang-bang and partly singular. A new gradient type algorithm is presented for computing the optimal control. Formulae for the gradient of the cost in optimal control are derived in various settings.\",\"PeriodicalId\":54672,\"journal\":{\"name\":\"Optimal Control Applications & Methods\",\"volume\":\"855 1\",\"pages\":\"1-20\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2007-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/OCA.4660080102\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optimal Control Applications & Methods\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1002/OCA.4660080102\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optimal Control Applications & Methods","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1002/OCA.4660080102","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Optimal Coatings, Bang-Bang Controls, And Gradient Techniques
A model for a viscoelastic coating is derived and the coating reflectivity is determined. A coating which minimizes the reflection of sound waves is partly bang-bang and partly singular. A new gradient type algorithm is presented for computing the optimal control. Formulae for the gradient of the cost in optimal control are derived in various settings.
期刊介绍：
Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.
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