DocumentCode
574404
Title
Robust stability of uncertain quantum systems
Author
Petersen, Ian R. ; Ugrinovskii, V. ; James, Michael R.
Author_Institution
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
fYear
2012
fDate
27-29 June 2012
Firstpage
5073
Lastpage
5077
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.
Keywords
perturbation techniques; quantum theory; robust control; uncertain systems; general stability; nominal linear quantum system; nonquadratic perturbations; robust stability conditions; strict bounded real conditions; system Hamiltonian; uncertain quantum systems; unknown perturbations; Educational institutions; Feedback control; Hilbert space; Quantum mechanics; Robust stability; Robustness; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2012
Conference_Location
Montreal, QC
ISSN
0743-1619
Print_ISBN
978-1-4577-1095-7
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2012.6314989
Filename
6314989
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