Title :
Robust stability of quantum systems with a nonlinear coupling operator
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 coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.
Keywords :
discrete systems; nonlinear control systems; robust control; coupling operator; coupling operator system; general stability; nominal linear quantum system; nonlinear coupling operator; nonlinear perturbations; quantum control systems; robust stability; uncertain quantum systems; unknown perturbations; Couplings; Educational institutions; Hilbert space; Quantum mechanics; Robust stability; Robustness; Vectors;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426658