Stabilizability conditions for a class of time-invariant bilinear systems (Q2705748)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilizability conditions for a class of time-invariant bilinear systems |
scientific article |
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19 August 2002
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quadratic feedback
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global asymptotic stability
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bilinear systems
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Stabilizability conditions for a class of time-invariant bilinear systems (English)
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The paper deals with the global asymptotic stability of time-invariant bilinear systems described by the equations NEWLINE\[NEWLINE\dot x= Ax+ Bu+ \sum^m_{i=1} (N_i x)u_i.NEWLINE\]NEWLINE The proposed feedback is quadratic, \(u_i= -x^t P(b_i+ N_ix)\), where \(b_i\) are the columns of \(B\). The results depend on the features of the spectrum of the matrix \(A\).
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0.9446564
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0.9341032
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0.93302554
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0.93131447
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0.9231214
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