Florin Stoican , Theodor-Gabriel Nicu , Daniel-Mihail Ioan , Ionela Prodan
{"title":"Computational aspects for the Koditschek-Rimon navigation function","authors":"Florin Stoican , Theodor-Gabriel Nicu , Daniel-Mihail Ioan , Ionela Prodan","doi":"10.1016/j.ifacol.2025.09.539","DOIUrl":null,"url":null,"abstract":"<div><div>We revisit here the Koditschek-Rimon navigation function idea for the static sphere world case. While the theoretical scafolding is well-known, details about the numerical computations of the associated bounds are lacking in the literature. We present a full implementation of these bounds and propose future directions for reducing their conservatism.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 11","pages":"Pages 144-149"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896325013023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
We revisit here the Koditschek-Rimon navigation function idea for the static sphere world case. While the theoretical scafolding is well-known, details about the numerical computations of the associated bounds are lacking in the literature. We present a full implementation of these bounds and propose future directions for reducing their conservatism.
期刊介绍:
All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.