Infinite eigenvalue assignment for singular systems (Q5953710)
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scientific article; zbMATH DE number 1696261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite eigenvalue assignment for singular systems |
scientific article; zbMATH DE number 1696261 |
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Infinite eigenvalue assignment for singular systems (English)
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28 January 2002
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regularity
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numerical algorithms
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infinite eigenvalue assignment
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singular systems
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upper Hessenberg form
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The infinite eigenvalue assignment problem for singular systems described by NEWLINE\[NEWLINEE\dot x= Ax+ Bu,\quad E, A\in\mathbb{R}^{n\times n},\quad B\in\mathbb{R}^{n\times m},\quad \text{det }E= 0\tag{1}NEWLINE\]NEWLINE is studied.NEWLINENEWLINENEWLINENecessary and sufficient conditions are established for the existence of a state feedback for (1) such that the closed-loop system is regular and has only infinite eigenvalues.NEWLINENEWLINENEWLINENumerical algorithms based on an orthogonal reduction to an upper Hessenberg form are given and illustrated by three examples.
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