State space theory of automorphisms of rational matrix functions (Q1194216)
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scientific article; zbMATH DE number 63968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | State space theory of automorphisms of rational matrix functions |
scientific article; zbMATH DE number 63968 |
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State space theory of automorphisms of rational matrix functions (English)
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27 September 1992
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The state space theory from linear control theory is used as a tool to describe the action of automorphisms of a certain form acting on rational matrix functions. This class consists of automorphisms representable as the composition of a linear fractional change of variable together with the operations of inverse-transpose, conjugation and an inner automorphism. The paper also contains a state space terms description of minimal factorizations within the class of functions of a certain associated group.
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state space theory
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linear control theory
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action of automorphisms
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rational matrix functions
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linear fractional change of variable
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inverse- transpose
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conjugation
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minimal factorizations
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