Examples of extreme cases in \(\ell_ 1\) and \({\mathcal H}_ \infty\) optimization (Q1337668)
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scientific article; zbMATH DE number 683631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examples of extreme cases in \(\ell_ 1\) and \({\mathcal H}_ \infty\) optimization |
scientific article; zbMATH DE number 683631 |
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Examples of extreme cases in \(\ell_ 1\) and \({\mathcal H}_ \infty\) optimization (English)
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10 April 1995
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In the paper, properties of solutions in the \(\ell_ 1\) norm and \({\mathcal H}_ \infty\) norm for closed-loop transfer functions are examined. It is shown that there exist examples for which the \(\ell_ 1\) and \({\mathcal H}_ \infty\) solutions differ considerably. The examples given in the paper illustrate that minimizing of the \(\ell_ 1\) norm is not necessarily good for minimizing of the \({\mathcal H}_ \infty\) norm and conversely.
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robust control
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\(\ell_ 1\)-minimization
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\({\mathcal H}_ \infty\)- minimization
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closed-loop transfer functions
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