On relative primeness of operator polynomials (Q802122)
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scientific article; zbMATH DE number 3881333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On relative primeness of operator polynomials |
scientific article; zbMATH DE number 3881333 |
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On relative primeness of operator polynomials (English)
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1983
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For given operator polynomials A(s) and B(s) - one of which is assumed monic - necessary and sufficient conditions are given for the existence of operator polynomials C(s) and D(s) such that the equation \(A(s)C(s)+B(s)D(s)=I\) holds for all complex numbers s. Then, application to the problem of controllability of infinite-dimensional linear autonomous systems is made.
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existence of operator polynomials
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controllability of infinite- dimensional linear autonomous systems
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