Solution of linear system roots and their multiplicities (Q2744526)
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scientific article; zbMATH DE number 1649095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of linear system roots and their multiplicities |
scientific article; zbMATH DE number 1649095 |
Statements
19 September 2001
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roots
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factorization
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Newton's identities
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poles
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multiplicities
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characteristic polynomial
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0.90121996
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0.8967775
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0.8946936
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Solution of linear system roots and their multiplicities (English)
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A method is presented to determine the roots of high-order characteristic equations based on factorization. The method makes use of Newton's identities and can be efficient in finding the poles and their multiplicities from the characteristic polynomial of a linear control system. A fourth-order illustrative example with triple real root is presented. The method is also applicable to the case of complex roots.
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