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A b s t r a c t In this paper, a procedure is described for converting a perturbed matrix with mixed unstructured and structured uncertainties t o the form of a Linear Fractional Transformation (LFT). Also, a criterion is given for keeping the nonsingularity of the perturbed matrix, provided it is nominally so. Moreover, based on the conversion method and criterion, explicit bounds on the Lime-varying uncertainties in continuous-time and discretetime systems are derived for robust stability.

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