Robust stability of quantum systems with a nonlinear coupling operator

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

doi:10.1109/CDC.2012.6426658

Robust stability of quantum systems with a nonlinear coupling operator

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

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

13 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 coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.

Original language	English
Article number	6426658
Pages (from-to)	1078-1082
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426658
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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10.1109/CDC.2012.6426658

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title = "Robust stability of quantum systems with a nonlinear coupling operator",

abstract = "This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.",

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

year = "2012",

doi = "10.1109/CDC.2012.6426658",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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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 coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.

AB - This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.

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U2 - 10.1109/CDC.2012.6426658

DO - 10.1109/CDC.2012.6426658

M3 - Conference article

AN - SCOPUS:84874237493

SN - 0743-1546

SP - 1078

EP - 1082

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426658

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Robust stability of quantum systems with a nonlinear coupling operator

Abstract

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