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Set of matrices with common Lyapunov solution - MaRDI portal

Set of matrices with common Lyapunov solution (Q5946021)

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scientific article; zbMATH DE number 1658036
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English
Set of matrices with common Lyapunov solution
scientific article; zbMATH DE number 1658036

    Statements

    Set of matrices with common Lyapunov solution (English)
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    21 October 2002
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    The author presents necessary and sufficient conditions for a set of matrices to coincide with a set of the form \( \{A: HA+A^*H>0\}\) or \(\{T: T^*HT<H\}\) for some positive definite matrix \(H\).
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    Lyapunov inertia
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    Stein inertia
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    positive definite matrices
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