Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/14396
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Gough, JE | en_US |
dc.creator | Zhang, G | en_US |
dc.date.accessioned | 2015-10-13T08:26:18Z | - |
dc.date.available | 2015-10-13T08:26:18Z | - |
dc.identifier.issn | 0005-1098 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/14396 | - |
dc.language.iso | en | en_US |
dc.publisher | Pergamon Press | en_US |
dc.rights | © 2015 Elsevier Ltd. All rights reserved. | en_US |
dc.rights | © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
dc.rights | The following publication Gough, J. E., & Zhang, G. (2015). On realization theory of quantum linear systems. Automatica, 59, 139-151 is available at https://doi.org/10.1016/j.automatica.2015.06.023. | en_US |
dc.subject | Controllability | en_US |
dc.subject | Observability | en_US |
dc.subject | Quantum linear systems | en_US |
dc.subject | Realization theory | en_US |
dc.title | On realization theory of quantum linear systems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 139 | en_US |
dc.identifier.epage | 151 | en_US |
dc.identifier.volume | 59 | en_US |
dc.identifier.doi | 10.1016/j.automatica.2015.06.023 | en_US |
dcterms.abstract | The purpose of this paper is to study the realization theory of quantum linear systems. It is shown that for a general quantum linear system its controllability and observability are equivalent and they can be checked by means of a simple matrix rank condition. Based on controllability and observability a specific realization is proposed for general quantum linear systems in which an uncontrollable and unobservable subspace is identified. When restricted to the passive case, it is found that a realization is minimal if and only if it is Hurwitz stable. Computational methods are proposed to find the cardinality of minimal realizations of a quantum linear passive system. It is found that the transfer function G(s) of a quantum linear passive system can be written as a fractional form in terms of a matrix function Σ(s); moreover, G(s) is lossless bounded real if and only if Σ(s) is lossless positive real. A type of realization for multi-input-multi-output quantum linear passive systems is derived, which is related to its controllability and observability decomposition. Two realizations, namely the independent-oscillator realization and the chain-mode realization, are proposed for single-input-single-output quantum linear passive systems, and it is shown that under the assumption of minimal realization, the independent-oscillator realization is unique, and these two realizations are related to the lossless positive real matrix function Σ(s). | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Automatica, Sept. 2015, v. 59, 6441, p. 139-151 | en_US |
dcterms.isPartOf | Automatica | en_US |
dcterms.issued | 2015-09 | - |
dc.identifier.scopus | 2-s2.0-84937911659 | - |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | RGC-B3-0189, a0850-n06 | - |
dc.identifier.SubFormID | a0850-n06 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Gough_Realizatitheory_Quantum_Linear.pdf | Pre-Published version | 1.03 MB | Adobe PDF | View/Open |
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