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 inPhilosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 370; no. 1979; pp. 5354 - 5363
Main Authors Petersen, Ian R., Ugrinovskii, Valery, James, Matthew R.
Format Journal Article
LanguageEnglish
Published England The Royal Society Publishing 28.11.2012
The Royal Society
Subjects
Air forces
Commutators
Computer systems
Feedback control
Frequency Domain Condition
Hilbert spaces
Mathematical vectors
Matrices
Quantum Control
Quantum mechanics
Robust Stability
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ISSN1364-503X
1471-2962
DOI10.1098/rsta.2011.0527

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Summary: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.
Bibliography: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
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ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2011.0527