Robust properties of periodic discrete and multirate systems
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Several robustness bounds related to input disturbances, and time-varying structured and unstructured parameter variations for discrete periodically time-varying and multirate systems are presented. The robustness bounds for l outputs are tight with respect to all l2 input signals with the same l2 norm defined by (3a). By setting the period parameter equal to one, one gets robustness bounds for the discrete time-invariant case. Therefore, these bounds are the generalization of the bounds for discrete time-invariant systems. Also an example is presented to support the theorems.
