Quantum Dissipative Systems and Feedback Control Design by Interconnection


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dc.contributor.author James, Matthew R.
dc.contributor.author Gough, John Edward
dc.date.accessioned 2010-09-02T08:35:31Z
dc.date.available 2010-09-02T08:35:31Z
dc.date.issued 2010-08-01
dc.identifier.citation James , M R & Gough , J E 2010 , ' Quantum Dissipative Systems and Feedback Control Design by Interconnection ' IEEE Transactions on Automatic Control , vol 55 , no. 8 , pp. 1806-1821 . , 10.1109/TAC.2010.2046067 en
dc.identifier.issn 0018-9286
dc.identifier.other PURE: 150395
dc.identifier.other dspace: 2160/5300
dc.identifier.uri http://hdl.handle.net/2160/5300
dc.identifier.uri http://ieeexplore.ieee.org/Xplore/login.jsp?reason=login&url=stamp/stamp.jsp%3Ftp%3D%26arnumber%3D5437308 en
dc.description IEEE Transactions on Automatic Control, 1806 - 1821, Volume: 55 , Issue:8, Aug. 2010 INSPEC Accession Number: 11447145 Digital Object Identifier : 10.1109/TAC.2010.2046067 Sponsorship: EPSRC, Australian Research Council en
dc.description.abstract The purpose of this paper is to extend J.C. Willems' theory of dissipative systems to open quantum systems described by quantum noise models. This theory, which combines ideas from quantum physics and control theory, provides useful methods for analysis and design of dissipative quantum systems. We describe the interaction of the plant and a class of external systems, called exosystems, in terms of feedback networks of interconnected open quantum systems. Our results include an infinitesimal characterization of the dissipation property, which generalizes the well-known Positive Real and Bounded Real Lemmas, and is used to study some properties of quantum dissipative systems. We also show how to formulate control design problems using network models for open quantum systems, which implements Willems' “control by interconnection” for open quantum systems. This control design formulation includes, for example, standard problems of stabilization, regulation, and robust control. en
dc.format.extent 16 en
dc.language.iso eng
dc.relation.ispartof IEEE Transactions on Automatic Control en
dc.title Quantum Dissipative Systems and Feedback Control Design by Interconnection en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1109/TAC.2010.2046067
dc.contributor.institution Quantum Systems, Information and Control en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.description.status Peer reviewed en

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