Robust stability of uncertain linear quantum systems
This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condit...
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| Published in | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 370; no. 1979; pp. 5354 - 5363 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
England
The Royal Society Publishing
28.11.2012
The Royal Society |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1364-503X 1471-2962 |
| DOI | 10.1098/rsta.2011.0527 |
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| Abstract | This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condition is given in terms of a strict bounded real condition. |
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| AbstractList | This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condition is given in terms of a strict bounded real condition. This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condition is given in terms of a strict bounded real condition.This paper considers the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. A robust stability condition is given in terms of a strict bounded real condition. |
| Author | Petersen, Ian R. Ugrinovskii, Valery James, Matthew R. |
| Author_xml | – sequence: 1 givenname: Ian R. surname: Petersen fullname: Petersen, Ian R. email: i.r.petersen@gmail.com organization: School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, Australian Capital Territory 2600, Australia – sequence: 2 givenname: Valery surname: Ugrinovskii fullname: Ugrinovskii, Valery organization: School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, Australian Capital Territory 2600, Australia – sequence: 3 givenname: Matthew R. surname: James fullname: James, Matthew R. organization: Research School of Engineering, College of Engineering and Computer Science, Australian National University, Canberra, Australian Capital Territory 0200, Australia |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/23091213$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1109/TAC.2008.929378 10.1109/TAC.2010.2052942 10.1109/TAC.2009.2031205 10.1103/PhysRevA.78.042339 10.1109/TAC.2010.2060970 10.1016/j.automatica.2009.04.018 10.1103/PhysRevA.78.062104 10.1109/TAC.2003.820065 10.1109/TAC.2010.2046067 10.1109/TAC.2003.820063 10.1007/978-3-662-04103-1 10.1109/TAC.2010.2096010 10.1103/PhysRevA.74.032107 10.1103/PhysRevA.81.023804 |
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| Notes | ark:/67375/V84-W9VQ0TDZ-F ArticleID:rsta20110527 href:rsta20110527.pdf One contribution of 15 to a Theo Murphy Meeting Issue 'Principles and applications of quantum control engineering'. istex:34304F67EFDF84B82DF9253143B71446190E3EA8 Theo Murphy Meeting Issue 'Principles and applications of quantum control engineering' organized and edited by John Gough ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | e_1_3_2_9_2 e_1_3_2_15_2 e_1_3_2_8_2 e_1_3_2_16_2 e_1_3_2_7_2 e_1_3_2_17_2 e_1_3_2_6_2 e_1_3_2_18_2 e_1_3_2_19_2 Khalil H. K. (e_1_3_2_2_2) 2002 e_1_3_2_10_2 e_1_3_2_5_2 e_1_3_2_4_2 Petersen I. R. (e_1_3_2_11_2) 2010 e_1_3_2_13_2 e_1_3_2_14_2 Wiseman H. M. (e_1_3_2_12_2) 2010 Zhou K. (e_1_3_2_3_2) 1996 |
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| SubjectTerms | Air forces Commutators Computer systems Feedback control Frequency Domain Condition Hilbert spaces Mathematical vectors Matrices Quantum Control Quantum mechanics Robust Stability |
| Title | Robust stability of uncertain linear quantum systems |
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