H∞ control of linear quantum systems

M. R. James; I. R. Petersen

H^∞ control of linear quantum systems

M. R. James^*
, I. R. Petersen

^*Corresponding author for this work

The Australian National University

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

3 Citations (Scopus)

Abstract

The purpose of this paper is to formulate and solve a H^∞ controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the Strict Bounded Real Lemma is presented and from this, a quantum version of the two Riccati solution to the H^∞ control problem is derived.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3126-3131
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

Cite this

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title = "H∞ control of linear quantum systems",

abstract = "The purpose of this paper is to formulate and solve a H∞ controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the Strict Bounded Real Lemma is presented and from this, a quantum version of the two Riccati solution to the H∞ control problem is derived.",

keywords = "Quantum feedback control, Quantum optics control, Strict bounded real lemma",

author = "James, \{M. R.\} and Petersen, \{I. R.\}",

year = "2006",

language = "English",

isbn = "1424401712",

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

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

pages = "3126--3131",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

address = "United States",

note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

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James, MR & Petersen, IR 2006, H^∞ control of linear quantum systems. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177157, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3126-3131, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06.

H^∞ control of linear quantum systems. / James, M. R.; Petersen, I. R.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 3126-3131 4177157 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

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AU - James, M. R.

AU - Petersen, I. R.

PY - 2006

Y1 - 2006

N2 - The purpose of this paper is to formulate and solve a H∞ controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the Strict Bounded Real Lemma is presented and from this, a quantum version of the two Riccati solution to the H∞ control problem is derived.

AB - The purpose of this paper is to formulate and solve a H∞ controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the Strict Bounded Real Lemma is presented and from this, a quantum version of the two Riccati solution to the H∞ control problem is derived.

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KW - Quantum optics control

KW - Strict bounded real lemma

UR - https://www.scopus.com/pages/publications/39649108635

M3 - Conference Paper

AN - SCOPUS:39649108635

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3126

EP - 3131

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -

H^∞ control of linear quantum systems

Abstract

Publication series

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