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In this paper, we give a new lower bound on the real stability radius of a real stable matrix. We also conjecture that this new lower bound is equal to the exact value of the real stability radius.
One of the methods recently utilized in the stability robustness analysis uses various matrix compositions. This paper gives an overview of this method using a tensor product theoretic perspective. The applications of this method to the stability robustness of matrices with unstructured uncertainties, one-parameter uncertainties or double-parameter uncertainties are then discussed.
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