State/driving-variable representation of 2D systems (Q1610786)
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scientific article; zbMATH DE number 1784480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | State/driving-variable representation of 2D systems |
scientific article; zbMATH DE number 1784480 |
Statements
State/driving-variable representation of 2D systems (English)
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20 August 2002
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A characterization of 2D linear systems with kernel representation that admit a state/driving-variable (SDV) representation based on a Fornasini-Marchesini model is proposed. The characterization is based on the possibility of decomposing a behaviour \(B\) as the sum of its controllable part with a suitable autonomous one. It is shown that \(B\) has a SDV representation if and only if it allows for a controllable-autonomous decomposition where that autonomous part is SDV representable.
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linear system decomposition
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2D systems
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kernel representation
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first-order representation
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state/driving-variable model
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2D properness
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autonomous part
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