@inproceedings{b5f39fab6df945a296a654d3fe0f3b4b,
title = "Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form",
abstract = "This paper is concerned with open quantum systems whose dynamic variables satisfy canonical commutation relations and are governed by quantum stochastic differential equations. The latter are driven by quantum Wiener processes which represent external boson fields. The system-field coupling operators are linear functions of the system variables. The Hamiltonian consists of a nominal quadratic function of the system variables and an uncertain perturbation which is represented in a Weyl quantization form. Assuming that the nominal linear quantum system is stable, we develop sufficient conditions on the perturbation of the Hamiltonian which guarantee robust mean square stability of the perturbed system. Examples are given to illustrate these results for a class of Hamiltonian perturbations in the form of trigonometric polynomials of the system variables.",
keywords = "Hamiltonian perturbation, Weyl quantization, open quantum stochastic system, robust mean square stability",
author = "Sichani, \{Arash Kh\} and Vladimirov, \{Igor G.\} and Petersen, \{Ian R.\}",
note = "Publisher Copyright: {\textcopyright} 2014 Engineers Australia.; 4th Australian Control Conference, AUCC 2014 ; Conference date: 17-11-2014 Through 18-11-2014",
year = "2015",
month = dec,
day = "16",
doi = "10.1109/AUCC.2014.7358693",
language = "English",
series = "Proceedings of 2014 Australian Control Conference, AUCC 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "83--88",
booktitle = "Proceedings of 2014 Australian Control Conference, AUCC 2014",
address = "United States",
}