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On the connection between state-space representation and generalized Bezout identity of multivariable systems - MaRDI portal

On the connection between state-space representation and generalized Bezout identity of multivariable systems (Q1922618)

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scientific article; zbMATH DE number 922539
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English
On the connection between state-space representation and generalized Bezout identity of multivariable systems
scientific article; zbMATH DE number 922539

    Statements

    On the connection between state-space representation and generalized Bezout identity of multivariable systems (English)
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    7 November 1996
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    Given a state-space representation of a reachable and observable system, one derives a novel and complete formula of generalized Bezout identity in polynomial description. The generalized state-space representation is also considered. Two pole-assignment problems can be solved only by constant matrix manipulations. Finally an example illustrates the obtained results.
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    multivariable control systems
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    Bezout identity
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    polynomial description
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    pole-assignment
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