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dc.contributor.authorHughes, Timen
dc.contributor.authorSmith, Malcolmen
dc.date.accessioned2015-11-24T13:27:03Z
dc.date.available2015-11-24T13:27:03Z
dc.date.issued2017-03-01en
dc.identifier.citationSystems & Control Letters 2015. doi:10.1016/j.sysconle.2015.09.011en
dc.identifier.issn0167-6911
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/252721
dc.description.abstractClassical RLC realisation procedures (e.g. Bott-Duffin) result in networks with uncontrollable driving-point behaviors. With this motivation, we use the behavioral framework of Jan Willems to provide a rigorous analysis of RLC networks and passive behaviors. We show that the driving-point behavior of a general RLC network is stabilisable, and controllable if the network contains only two types of elements. In contrast, we show that the full behavior of the RLC network need not be stabilisable, but is marginally stabilisable. These results allow us to formalise the phasor approach to RLC networks using the notion of sinusoidal trajectories, and to address an assumption of conventional phasor analysis. Finally, we show that any passive behavior with a hybrid representation is stabilisable. This paper relies substantially on the fundamental work of our late friend and colleague Jan Willems to whom the paper is dedicated.
dc.language.isoenen
dc.publisherElsevier
dc.titleControllability of linear passive network behaviorsen
dc.typeArticle
prism.endingPage66
prism.publicationDate2017en
prism.publicationNameSystems and Control Lettersen
prism.startingPage58
prism.volume101en
dcterms.dateAccepted2015-09-24en
rioxxterms.versionofrecord10.1016/j.sysconle.2015.09.011en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-03-01en
dc.identifier.eissn1872-7956
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2015-12-11en
rioxxterms.freetoread.startdate2017-12-11


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