An observation on the positive real lemma (Q5934248)
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scientific article; zbMATH DE number 1606195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An observation on the positive real lemma |
scientific article; zbMATH DE number 1606195 |
Statements
An observation on the positive real lemma (English)
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7 November 2001
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transfer matrix
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real positive matrix
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0.93612117
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0.8787732
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0.8736085
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0.87127614
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0.86540806
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0.8640945
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A linear exponentially stable system NEWLINE\[NEWLINE\dot x= Ax+ Bu,\quad y= Cx+ Du,\quad x\in\mathbb{R}^n,\quad u, y\in\mathbb{R}^mNEWLINE\]NEWLINE with square transfer matrix \(T(s)= C[Is- A]^{-1} B+D\) is considered. It is not assumed that the system is controllable and observable.NEWLINENEWLINENEWLINENecessary and sufficient conditions are established under which the transfer matrix is a real positive matrix.
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