Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/95534
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Mechanical Engineering | en_US |
dc.creator | Xu, Q | en_US |
dc.creator | Wang, Z | en_US |
dc.creator | Cheng, L | en_US |
dc.date.accessioned | 2022-09-21T01:40:48Z | - |
dc.date.available | 2022-09-21T01:40:48Z | - |
dc.identifier.issn | 0885-7474 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/95534 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 | en_US |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use(https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10915-021-01599-5 | en_US |
dc.subject | Characteristic roots | en_US |
dc.subject | Definite integral method | en_US |
dc.subject | Multi-delay | en_US |
dc.subject | Neutral time delay differential equation | en_US |
dc.subject | Stability | en_US |
dc.title | Calculating characteristic roots of multi-delayed systems with accumulation points via a definite integral method | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 88 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1007/s10915-021-01599-5 | en_US |
dcterms.abstract | Multi-delayed systems, especially the neutral ones, have infinitely many and complex distributed characteristic roots that are crucial for system dynamics. The definite integral method, which determines the system stability by using only a definite integral, is extended in this paper for calculating all the characteristic roots in an arbitrarily given area on the complex plane of both retarded and neutral multi-delayed systems with constant discrete delays. Two simple algorithms are proposed for implementing the proposed method, by first calculating the distribution of the real parts of all the characteristic roots, then the imaginary parts by using an iteration method. The real part distribution can be used for the quick estimation of key characteristic roots such as the rightmost ones or the corresponding accumulation point(s), thus allowing adjusting the upper limit of the integral to further simplify the calculation procedure. Examples are given to show the feasibility and the efficiency of the proposed method through numerical analyses. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Journal of scientific computing, Sept. 2021, v. 88, no. 3, 83 | en_US |
dcterms.isPartOf | Journal of scientific computing | en_US |
dcterms.issued | 2021-09 | - |
dc.identifier.scopus | 2-s2.0-85112612389 | - |
dc.identifier.artn | 83 | en_US |
dc.description.validate | 202209 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | ME-0030 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | NSFC; Fundamental Research Funds for the Central Universities | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54773785 | - |
dc.description.oaCategory | Green (AAM) | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Xu_Calculating_Characteristic_Roots.pdf | Pre-Published version | 595.05 kB | Adobe PDF | View/Open |
Page views
59
Last Week
0
0
Last month
Citations as of Oct 13, 2024
Downloads
119
Citations as of Oct 13, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.