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Robust Stability of Quantum Systems with a Nonlinear Coupling Operator (1208.6061v1)
Published 30 Aug 2012 in quant-ph, cs.SY, and math.OC
Abstract: This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system coupling operator. Then, the special case of a nominal linear quantum system is considered with non-linear perturbations to the system coupling operator. In this case, a robust stability condition is given in terms of a scaled strict bounded real condition.