Robust stability of uncertain linear quantum systems

Ian R. Petersen; Valery Ugrinovskii; Matthew R. James

doi:10.1098/rsta.2011.0527

Robust stability of uncertain linear quantum systems

Ian R. Petersen^*, Valery Ugrinovskii, Matthew R. James

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

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.

Original language	English
Pages (from-to)	5354-5363
Number of pages	10
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	370
Issue number	1979
DOIs	https://doi.org/10.1098/rsta.2011.0527
Publication status	Published - 28 Nov 2012

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title = "Robust stability of uncertain linear quantum systems",

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.",

keywords = "Frequency domain condition, Quantum control, Robust stability",

author = "Petersen, {Ian R.} and Valery Ugrinovskii and James, {Matthew R.}",

year = "2012",

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doi = "10.1098/rsta.2011.0527",

language = "English",

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journal = "Philosophical transactions. Series A, Mathematical, physical, and engineering sciences",

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T1 - Robust stability of uncertain linear quantum systems

AU - Petersen, Ian R.

AU - Ugrinovskii, Valery

AU - James, Matthew R.

PY - 2012/11/28

Y1 - 2012/11/28

N2 - 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.

AB - 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.

KW - Frequency domain condition

KW - Quantum control

KW - Robust stability

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U2 - 10.1098/rsta.2011.0527

DO - 10.1098/rsta.2011.0527

M3 - Article

SN - 1364-503X

VL - 370

SP - 5354

EP - 5363

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 1979

ER -

Robust stability of uncertain linear quantum systems

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