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H<sup>∞</sup> control of linear quantum systems

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Date

2006

Authors

James, M. R.
Petersen, I. R.

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers Inc.

Access Statement

Research Projects

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Journal Issue

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.

Description

Keywords

Quantum feedback control, Quantum optics control, Strict bounded real lemma

Citation

URI

https://hdl.handle.net/1885/733812598

Collections

ANU Research Publications

Source

Type

Conference paper

Book Title

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

Entity type

Publication

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