A Popov Stability Condition for Uncertain Linear Quantum Systems
Quantum Physics
2013-03-08 v1 Systems and Control
Optimization and Control
Abstract
This paper considers a Popov type approach to the problem of robust stability for a class of uncertain linear quantum systems subject to unknown perturbations in the system Hamiltonian. A general stability result is given for a general class of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with quadratic perturbations to the system Hamiltonian. In this case, a robust stability condition is given in terms of a frequency domain condition which is of the same form as the standard Popov stability condition.
Cite
@article{arxiv.1303.1654,
title = {A Popov Stability Condition for Uncertain Linear Quantum Systems},
author = {Matthew R. James and Ian R. Petersen and Valery Ugrinovskii},
journal= {arXiv preprint arXiv:1303.1654},
year = {2013}
}
Comments
A shortened version to appear in the proceedings of the 2013 American Control Conference