Robust Stability Analysis of an Optical Parametric Amplifier Quantum System
Abstract
This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with non-quadratic perturbations to the system Hamiltonian. The paper extends recent results on the robust stability of nonlinear quantum systems to allow for non-quadratic perturbations to the Hamiltonian which depend on multiple parameters. A robust stability condition is given in terms of a strict bounded real condition. This result is then applied to the robust stability analysis of a nonlinear quantum system which is a model of an optical parametric amplifier.
Keywords
Cite
@article{arxiv.1303.6025,
title = {Robust Stability Analysis of an Optical Parametric Amplifier Quantum System},
author = {Ian R. Petersen},
journal= {arXiv preprint arXiv:1303.6025},
year = {2013}
}
Comments
A shortened version will appear in the Proceedings of the 2013 Asian Control Conference