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11:35 PM
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Q: Is there a homeomorphism between the sets of Schur stable and Hurwitz stable matrices?

user9527The set of Schur stable matrices is \begin{align*} \mathcal S = \{A \in M_n(\mathbb R): \rho(A) < 1\}, \end{align*} where $\rho(\cdot)$ denotes the spectral radius of a matrix and the set of Hurwitz stable matrices is \begin{align*} \mathcal H = \{A \in M_n(\mathbb R): \max_{i} \text{Re}(\lambda...

 

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