Quantum feedback control of linear stochastic systems with feedback-loop time delays
In a quantum feedback control loop, one is often confronted with time delays that mainly originated from the transition delay of signals, which may cause the quantum feedback control system unstable. The purpose of this paper is to deal with a problem of quantum measurement-based feedback control su...
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| Published in | Automatica (Oxford) Vol. 52; pp. 277 - 282 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2015
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| ISSN | 0005-1098 1873-2836 |
| DOI | 10.1016/j.automatica.2014.11.014 |
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| Abstract | In a quantum feedback control loop, one is often confronted with time delays that mainly originated from the transition delay of signals, which may cause the quantum feedback control system unstable. The purpose of this paper is to deal with a problem of quantum measurement-based feedback control subject to feedback-loop time delays. A quantum version of delay-independent stability criterion as well as an upper bound on a cost function is derived based on quantum Itō rules. We propose one numerical procedure for quantum feedback controller designs, which is then illustrated by an example. |
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| AbstractList | In a quantum feedback control loop, one is often confronted with time delays that mainly originated from the transition delay of signals, which may cause the quantum feedback control system unstable. The purpose of this paper is to deal with a problem of quantum measurement-based feedback control subject to feedback-loop time delays. A quantum version of delay-independent stability criterion as well as an upper bound on a cost function is derived based on quantum Itō rules. We propose one numerical procedure for quantum feedback controller designs, which is then illustrated by an example. |
| Author | Wang, Shi James, Matthew R. |
| Author_xml | – sequence: 1 givenname: Shi surname: Wang fullname: Wang, Shi email: peoplews3@hotmail.com organization: School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Australia – sequence: 2 givenname: Matthew R. surname: James fullname: James, Matthew R. email: Matthew.James@anu.edu.au organization: Centre for Quantum Computation and Communication Technology, Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia |
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| Cites_doi | 10.1109/CDC.2012.6426093 10.1109/QELS.2005.1548668 10.1103/PhysRevA.79.062105 10.1049/ip-cta:19982405 10.1016/j.automatica.2006.05.026 10.1016/j.automatica.2013.07.014 10.1137/080728652 10.1016/j.automatica.2009.04.018 10.1016/S0005-1098(03)00167-5 10.1109/TAC.2008.929378 10.1109/TAC.2008.2010969 10.1109/TAC.2010.2062892 10.1103/PhysRevLett.70.548 10.1109/TAC.2010.2096010 10.1038/nphoton.2009.229 10.1109/CACSD.2004.1393890 10.1103/PhysRevA.49.4110 10.1109/TAC.2005.843873 10.1016/0167-6911(94)00030-Y 10.1109/ACC.2007.4282598 10.1109/9.599969 |
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| Keywords | Quantum system Linear stochastic system Cost function Time delay Quantum feedback control |
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| SubjectTerms | Cost function Linear stochastic system Quantum feedback control Quantum system Time delay |
| Title | Quantum feedback control of linear stochastic systems with feedback-loop time delays |
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