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arXiv:1402.2086 · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference

Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties

Ian R. Petersen

Published Jun 1, 2014• 5 citations
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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.

DOI
10.1109/acc.2014.6858903

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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.
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