Singular-value and eigenvalue techniques in the analysis of systems with structured perturbations

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Abstract
A new range of techniques is introduced for the purpose of exploiting information about the structure of the perturbation associated with uncertain linear multivariable feedback systems. The class of perturbation considered is wide and ignores only the phase information of the individual elements of the perturbation matrix; it encompasses diagonal, block-diagonal and other forms of block-structured perturbations. The techniques developed provide a means of assessing stability margins and also lead to an extension of the Nyquist criterion

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