Maximal unidirectional perturbation bounds for stability of polynomials and matrices (Q1117176)
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scientific article; zbMATH DE number 4091293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal unidirectional perturbation bounds for stability of polynomials and matrices |
scientific article; zbMATH DE number 4091293 |
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Maximal unidirectional perturbation bounds for stability of polynomials and matrices (English)
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1988
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Given a stable polynomial or matrix, we consider a class of unidirectional perturbations. In this note, we provide a closed form for the maximal perturbation bounds under which stability is preserved. The results are then used to derive a closed form for the maximal stability box around the coefficients of a nominally stable polynomial.
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algebraic stability tests
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stable polynomial
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unidirectional perturbations
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maximal perturbation bounds
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