零potent 群上线性控制系统非空内部控制集存在的弱条件

IF 1.8 4区 计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS
Adriano Da Silva, Anderson F. P. Rojas
{"title":"零potent 群上线性控制系统非空内部控制集存在的弱条件","authors":"Adriano Da Silva, Anderson F. P. Rojas","doi":"10.1007/s00498-024-00395-4","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we show that for a linear control system on a nilpotent Lie group, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty interior, as soon as one impose a compactness assumption on the generalized kernel of the drift. Moreover, this control set is unique and contains the singularities of the drift in its closure.</p>","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"54 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak condition for the existence of control sets with a nonempty interior for linear control systems on nilpotent groups\",\"authors\":\"Adriano Da Silva, Anderson F. P. Rojas\",\"doi\":\"10.1007/s00498-024-00395-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we show that for a linear control system on a nilpotent Lie group, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty interior, as soon as one impose a compactness assumption on the generalized kernel of the drift. Moreover, this control set is unique and contains the singularities of the drift in its closure.</p>\",\"PeriodicalId\":51123,\"journal\":{\"name\":\"Mathematics of Control Signals and Systems\",\"volume\":\"54 1\",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of Control Signals and Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1007/s00498-024-00395-4\",\"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":"Mathematics of Control Signals and Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s00498-024-00395-4","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}
引用次数: 0

摘要

在本文中,我们证明了对于零能李群上的线性控制系统,只要对漂移的广义核施加紧凑性假设,李代数秩条件就足以确保存在一个具有非空内部的控制集。此外,这个控制集是唯一的,并且在其闭合中包含漂移的奇点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Weak condition for the existence of control sets with a nonempty interior for linear control systems on nilpotent groups

Weak condition for the existence of control sets with a nonempty interior for linear control systems on nilpotent groups

In this paper, we show that for a linear control system on a nilpotent Lie group, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty interior, as soon as one impose a compactness assumption on the generalized kernel of the drift. Moreover, this control set is unique and contains the singularities of the drift in its closure.

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
Mathematics of Control Signals and Systems
Mathematics of Control Signals and Systems 工程技术-工程:电子与电气
CiteScore
2.90
自引率
0.00%
发文量
18
审稿时长
>12 weeks
期刊介绍: Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.
×
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:481959085
Book学术官方微信