Coprime factorization for regular linear systems (Q5961500)
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scientific article; zbMATH DE number 980909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coprime factorization for regular linear systems |
scientific article; zbMATH DE number 980909 |
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Coprime factorization for regular linear systems (English)
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15 September 1997
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regular linear systems
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state space formulas
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doubly coprime factorization
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delay systems
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Regular linear systems are input/state/output linear, time-invariant systems described on an abstract state space, which have the property that the transfer function has a (strong) limit when \(s\) goes to infinity on the real line.NEWLINENEWLINENEWLINEFor this class of systems, mild conditions are given such that the transfer function possesses a doubly coprime factorization over the Hardy space \(H^\infty\). State space formulas for this doubly coprime factorization are obtained as well. These expressions are similar to those obtained for finite-dimensional, time-invariant linear systems. The results are illustrated by two examples of delay systems, one with infinitely many poles.
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