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When are the complex and the real stability radii equal?

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1 Author(s)
Lewkowicz, I. ; Dept. of Electr. Eng., Technion-Israel, Haifa, Israel

Characterization of those real stable matrices for which the unstructured complex and real stability radii are equal is presented. Special cases of this equality are discussed. As application of this result, it is shown that, for 2×2 matrices with nonreal eigenvalues, neither the case of equality nor the case of strict inequality is generic

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Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 6 )