A problem of modal control in a linear neutral system (Q2769558)
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scientific article; zbMATH DE number 1701615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A problem of modal control in a linear neutral system |
scientific article; zbMATH DE number 1701615 |
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5 February 2002
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linear neutral systems
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modal control
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characteristic equation
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delay
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0.95882595
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0.9176224
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0.90692085
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0.88570917
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A problem of modal control in a linear neutral system (English)
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The following problem is considered: find the vectors \(c_k\in \mathbb{R}^n\), \(k= 0,\dots, m\), such that the characteristic quasi-polynomial of the closed system NEWLINE\[NEWLINE{d\over dt} [x(t)- Dx(t-\tau)]= Ax(t)+ A_1 x(t-\tau)+ bu(t),NEWLINE\]NEWLINE NEWLINE\[NEWLINEu(t)= \sum^m_{k= 0} c_k x(t- k\tau),\quad t\geq 0,\quad \tau> 0,NEWLINE\]NEWLINE has coefficients given in advance. The problem is solved for canonical neutral systems.
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