Robust stability of uncertain quantum systems

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

doi:10.1109/acc.2012.6314989

Robust stability of uncertain quantum systems

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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

17 Citations (Scopus)

Abstract

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.

Original language	English
Title of host publication	2012 American Control Conference, ACC 2012
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5073-5077
Number of pages	5
ISBN (Print)	9781457710957
DOIs	https://doi.org/10.1109/acc.2012.6314989
Publication status	Published - 2012
Event	2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: 27 Jun 2012 → 29 Jun 2012

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2012 American Control Conference, ACC 2012
Country/Territory	Canada
City	Montreal, QC
Period	27/06/12 → 29/06/12

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10.1109/acc.2012.6314989

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title = "Robust stability of uncertain quantum systems",

abstract = "This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.",

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

year = "2012",

doi = "10.1109/acc.2012.6314989",

language = "English",

isbn = "9781457710957",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "5073--5077",

booktitle = "2012 American Control Conference, ACC 2012",

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note = "2012 American Control Conference, ACC 2012 ; Conference date: 27-06-2012 Through 29-06-2012",

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Petersen, IR, Ugrinovskii, V & James, MR 2012, Robust stability of uncertain quantum systems. in 2012 American Control Conference, ACC 2012., 6314989, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 5073-5077, 2012 American Control Conference, ACC 2012, Montreal, QC, Canada, 27/06/12. https://doi.org/10.1109/acc.2012.6314989

Robust stability of uncertain quantum systems. / Petersen, Ian R.; Ugrinovskii, Valery; James, Matthew R.
2012 American Control Conference, ACC 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 5073-5077 6314989 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Robust stability of uncertain quantum systems

AU - Petersen, Ian R.

AU - Ugrinovskii, Valery

AU - James, Matthew R.

PY - 2012

Y1 - 2012

N2 - This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.

AB - This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.

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U2 - 10.1109/acc.2012.6314989

DO - 10.1109/acc.2012.6314989

M3 - Conference contribution

SN - 9781457710957

T3 - Proceedings of the American Control Conference

SP - 5073

EP - 5077

BT - 2012 American Control Conference, ACC 2012

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2012 American Control Conference, ACC 2012

Y2 - 27 June 2012 through 29 June 2012

ER -

Robust stability of uncertain quantum systems

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