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arXiv · 1402.2086

Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties

Ian R. Petersen
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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.

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Ian R. Petersen. 2014-02-10. Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties. https://arxiv.org/abs/1402.2086

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