Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive (Q642102)
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scientific article; zbMATH DE number 5963649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive |
scientific article; zbMATH DE number 5963649 |
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Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive (English)
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25 October 2011
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The authors study the two-dimensional quasi-linear system \[ x'= f(t)y,\;y' = -g(t)(x -\gamma(x))-h(t)y. \] Under the assumption that the zero solution of the linear approximation is not always uniformly attractive, the authors obtain sufficient conditions for uniform stability and asymptotic stability of the zero solution.
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asymptotic stability
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uniform stability
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quasi-linear systems
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weakly integrally positive
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discontinuous coefficients
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