Observing the state with componentwise exponentially decaying error (Q1091987)
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scientific article; zbMATH DE number 4012404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Observing the state with componentwise exponentially decaying error |
scientific article; zbMATH DE number 4012404 |
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Observing the state with componentwise exponentially decaying error (English)
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1987
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The observer gain matrix L is computed to assign the Gershgorin discs associated with the rows of the matrix A-LC. It is shown by a counterexample that the observability of (C,A) is not sufficient to guarantee the existence of such an L. Necessary and sufficient conditions are stated. For a \(3\times 3\) matrix A an example is computed.
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detectability
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exponential stability
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observer gain matrix
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Gershgorin discs
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time-invariant
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