Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties
Quantum Physics
2014-02-11 v1 Systems and Control
Optimization and Control
Abstract
This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.
Keywords
Cite
@article{arxiv.1402.2086,
title = {Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties},
author = {Ian R. Petersen},
journal= {arXiv preprint arXiv:1402.2086},
year = {2014}
}
Comments
A version of this paper is to appear in the Proceedings of the 2014 American Control Conference