On a concept of genericity for RLC networks
dc.contributor.author | Hughes, T | |
dc.contributor.author | Morelli, A | |
dc.contributor.author | Smith, MC | |
dc.date.accessioned | 2019-10-25T08:24:37Z | |
dc.date.issued | 2019-11-06 | |
dc.description.abstract | A recent definition of genericity for resistor-inductor-capacitor (RLC) networks is that the realisability set of the network has dimension one more than the number of elements in the network. We prove that such networks are minimal in the sense that it is not possible to realise a set of dimension n with fewer than n − 1 elements. We provide an easily testable necessary and sufficient condition for genericity in terms of the derivative of the mapping from element values to impedance parameters, which is illustrated by several examples. We show that the number of resistors in a generic RLC network cannot exceed k + 1 where k is the order of the impedance. With an example, we show that an impedance function of lower order than the number of reactive elements in the network need not imply that the network is non-generic. We prove that a network with a non-generic subnetwork is itself non-generic. Finally we show that any positive-real impedance can be realised by a generic n | en_GB |
dc.description.sponsorship | MathWorks | en_GB |
dc.identifier.citation | Vol. 134, article 104562 | en_GB |
dc.identifier.doi | 10.1016/j.sysconle.2019.104562 | |
dc.identifier.uri | http://hdl.handle.net/10871/39328 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights.embargoreason | Under embargo until 6 November 2020 in compliance with publisher policy | en_GB |
dc.rights | © 2019. This version is made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_GB |
dc.subject | Network synthesis | en_GB |
dc.subject | Semi-algebraic set | en_GB |
dc.subject | Electrical networks | en_GB |
dc.subject | Minimality | en_GB |
dc.title | On a concept of genericity for RLC networks | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2019-10-25T08:24:37Z | |
dc.identifier.issn | 0167-6911 | |
dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record | en_GB |
dc.identifier.journal | Systems and Control Letters | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_GB |
dcterms.dateAccepted | 2019-10-16 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2019-10-16 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2019-10-24T20:23:49Z | |
refterms.versionFCD | AM | |
refterms.panel | B | en_GB |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's licence is described as © 2019. This version is made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/