Robust stability of uncertain quantum systems
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Petersen, Ian
Ugrinovskii, Valery A
James, Matthew
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Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system Hamiltonian. Some general stability results are given for different classes of perturbations to the system Hamiltonian. Then, the special case of a nominal linear quantum system is considered with either quadratic or non-quadratic perturbations to the system Hamiltonian. In this case, robust stability conditions are given in terms of strict bounded real conditions.
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Proceedings of the American Control Conference 2012
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2037-12-31