2009 2nd International Symposium on Resilient Control Systems最新文献

筛选
英文 中文
Phase-space reconstruction: a path towards the next generation of nonlinear differential equation based models and its implications towards non-uniform sampling theory 相空间重建:迈向下一代非线性微分方程模型的路径及其对非均匀采样理论的影响
2009 2nd International Symposium on Resilient Control Systems Pub Date : 2009-09-18 DOI: 10.1109/ISRCS.2009.5251347
C. Tolle, Mark Pengitore
{"title":"Phase-space reconstruction: a path towards the next generation of nonlinear differential equation based models and its implications towards non-uniform sampling theory","authors":"C. Tolle, Mark Pengitore","doi":"10.1109/ISRCS.2009.5251347","DOIUrl":"https://doi.org/10.1109/ISRCS.2009.5251347","url":null,"abstract":"This paper explores the overlaps between the Control community's work on System Identification (SysID) and the Physics, Mathematics, Chaos, and Complexity communities' work on phase-space reconstruction via time-delay embedding. There are numerous overlaps between the goals of each community. Nevertheless, the Controls community can gain new insight as well as some new very powerful tools for SysID from the latest developments within the Physics, Mathematics, Chaos, and Complexity communities. These insights are gained via the work on phase-space reconstruction of non-linear dynamics. New methods for discovering non-linear differential based equations that evolved from embedding operations can shed new light on hybrid-systems theory, Nyquest-Shannon's Theories, and network based control theory. This paper strives to guide the Controls community towards a closer inspection of the tools and additional insights being developed within the Physics, Mathematics, Chaos, and Complexity communities for discovery of system dynamics, the first step in control system development. The paper introduces the concepts of phase-space reconstruction via time-delay embedding (made famous byWhitney, Takens, and Sauer's Thoreoms), intergrate-and-fire embedding, and non-linear differential equation discovery based on Perona's method.","PeriodicalId":158186,"journal":{"name":"2009 2nd International Symposium on Resilient Control Systems","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125811172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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×
相关产品
×
本文献相关产品
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