\(H_\infty\) filtering of 2-D discrete systems (Q2734341)
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scientific article; zbMATH DE number 1633967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H_\infty\) filtering of 2-D discrete systems |
scientific article; zbMATH DE number 1633967 |
Statements
11 November 2001
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\(H_\infty\) filtering
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2-D discrete linear systems
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second Fornasini-Marchesini model
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finite horizon
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infinite horizon
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Riccati equation
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Riccati inequality
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LMI approaches
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\(H_\infty\) filtering of 2-D discrete systems (English)
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The \(H_\infty\) filtering problem for 2-D discrete linear systems described by the second Fornasini-Marchesini model is solved. Both the finite horizon and infinite horizon \(H_\infty\) filtering problems are considered. For the finite horizon 2-D filtering problem a Riccati equation approach is proposed, and for the infinite horizon case both the Riccati inequality and LMI approaches are developed. The paper extends the results known for 1-D systems to the 2-D case.
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