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
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;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314989
