A Popov stability condition for uncertain linear quantum systems

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

doi:10.1109/acc.2013.6580218

A Popov stability condition for uncertain linear quantum systems

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

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

19 Citations (Scopus)

Abstract

This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. A general stability result is given for a general class of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. In this case, a robust stability condition is given in terms of a frequency domain condition which is of the same form as the standard Popov stability condition.

Original language	English
Title of host publication	2013 American Control Conference, ACC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2551-2555
Number of pages	5
ISBN (Print)	9781479901777
DOIs	https://doi.org/10.1109/acc.2013.6580218
Publication status	Published - 2013
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: 17 Jun 2013 → 19 Jun 2013

Publication series

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

Conference

Conference	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	17/06/13 → 19/06/13

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10.1109/acc.2013.6580218

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title = "A Popov stability condition for uncertain linear quantum systems",

abstract = "This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. A general stability result is given for a general class of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. In this case, a robust stability condition is given in terms of a frequency domain condition which is of the same form as the standard Popov stability condition.",

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

year = "2013",

doi = "10.1109/acc.2013.6580218",

language = "English",

isbn = "9781479901777",

series = "Proceedings of the American Control Conference",

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

pages = "2551--2555",

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note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

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James, MR, Petersen, IR & Ugrinovskii, V 2013, A Popov stability condition for uncertain linear quantum systems. in 2013 American Control Conference, ACC 2013., 6580218, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 2551-2555, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 17/06/13. https://doi.org/10.1109/acc.2013.6580218

A Popov stability condition for uncertain linear quantum systems. / James, Matthew R.; Petersen, Ian R.; Ugrinovskii, Valery.
2013 American Control Conference, ACC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 2551-2555 6580218 (Proceedings of the American Control Conference).

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

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AU - Petersen, Ian R.

AU - Ugrinovskii, Valery

PY - 2013

Y1 - 2013

N2 - This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. A general stability result is given for a general class of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. In this case, a robust stability condition is given in terms of a frequency domain condition which is of the same form as the standard Popov stability condition.

AB - This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. A general stability result is given for a general class of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. In this case, a robust stability condition is given in terms of a frequency domain condition which is of the same form as the standard Popov stability condition.

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DO - 10.1109/acc.2013.6580218

M3 - Conference contribution

SN - 9781479901777

T3 - Proceedings of the American Control Conference

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BT - 2013 American Control Conference, ACC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -

A Popov stability condition for uncertain linear quantum systems

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