Stabilization via orthogonal polynomials

A. E. Choque-Rivero, Omar Fabián González Hernández
{"title":"Stabilization via orthogonal polynomials","authors":"A. E. Choque-Rivero, Omar Fabián González Hernández","doi":"10.1109/ROPEC.2017.8261612","DOIUrl":null,"url":null,"abstract":"Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.","PeriodicalId":260469,"journal":{"name":"2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ROPEC.2017.8261612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

Abstract

Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
正交多项式稳定化
设n为布鲁诺夫斯基系统的维数。对于n = 2m(分别为n = 2m + 1),我们证明了[0,∞)上每一个在(0,∞)上至少有n/2个增加点,(分别为(n + 1)/2个增加点的正分布,在[0,∞)上产生一个位置控制,该位置控制稳定了维数1≤k≤n的Brunovsky系统族。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
The teaching-learning of Graph Theory with the support of Learn Graph-Ware software Efficiency based comparative analysis of selected classical MPPT methods YOCASTA: A ludic-interactive system to support the detection of anxiety and lack of concentration in children with disabilities Design and analysis of performance of a forward converter with winding tertiary Sags and swells compensation and power factor correction using a dynamic voltage restorer in distribution systems
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1