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Guaranteed Non-quadratic Performance for Quantum Systems with Nonlinear Uncertainties (1402.2086v1)
Published 10 Feb 2014 in quant-ph, cs.SY, and math.OC
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.