$W^{1,2}$控制扫瞄过程的非光滑最优性准则:非自治摄动

Chadi Nour, V. Zeidan
{"title":"$W^{1,2}$控制扫瞄过程的非光滑最优性准则:非自治摄动","authors":"Chadi Nour, V. Zeidan","doi":"10.23952/asvao.5.2023.2.06","DOIUrl":null,"url":null,"abstract":"We extend to $\\mathrm{C}\\times \\mathrm{W}^{1,2}$-local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time approximations, for $\\mathrm{W}^{1,2}\\times \\mathrm{W}^{1,2}$-local minimizers of an optimal control problem governed by a controlled nonconvex sweeping process with autonomous perturbation function.","PeriodicalId":362333,"journal":{"name":"Applied Set-Valued Analysis and Optimization","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonsmooth optimality criterion for a $W^{1,2}$-controlled sweeping process: Nonautonomous perturbation\",\"authors\":\"Chadi Nour, V. Zeidan\",\"doi\":\"10.23952/asvao.5.2023.2.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We extend to $\\\\mathrm{C}\\\\times \\\\mathrm{W}^{1,2}$-local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time approximations, for $\\\\mathrm{W}^{1,2}\\\\times \\\\mathrm{W}^{1,2}$-local minimizers of an optimal control problem governed by a controlled nonconvex sweeping process with autonomous perturbation function.\",\"PeriodicalId\":362333,\"journal\":{\"name\":\"Applied Set-Valued Analysis and Optimization\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Set-Valued Analysis and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/asvao.5.2023.2.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Set-Valued Analysis and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/asvao.5.2023.2.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

摘要

我们通过连续时间逼近,将文献[1]中导出的最优性条件推广到$\ mathm {C}\乘以\ mathm {W}^{1,2}$-局部极小值和非自治摄动函数,用于具有自治摄动函数的受控非凸扫描过程的最优控制问题的$\ mathm {W}^{1,2}$-局部极小值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonsmooth optimality criterion for a $W^{1,2}$-controlled sweeping process: Nonautonomous perturbation
We extend to $\mathrm{C}\times \mathrm{W}^{1,2}$-local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time approximations, for $\mathrm{W}^{1,2}\times \mathrm{W}^{1,2}$-local minimizers of an optimal control problem governed by a controlled nonconvex sweeping process with autonomous perturbation function.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信