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- W2313795964 abstract "This paper discusses asymptotic stability properties ofthe neutral delay differential equationbegin{eqnarray*}y'(t) = a y (t) + b y ( t - tau ) + c y'( t - tau ), t > 0, end{eqnarray*}where $a,,b,,c$ and $tau >0$ are real scalars. We consider theexact as well as discretized delay-dependent asymptotic stabilityregions for this equation and describe them in terms ofexplicit necessary and sufficient conditions imposed on $a,,b,,c$and $tau$. Such descriptions enable us to observe some fundamentalproperties of these stability regions, especially with respect tostability of corresponding numerical formulae. As a consequence ofour investigations, we extend existing results on this topic." @default.
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- W2313795964 date "2014-05-01" @default.
- W2313795964 modified "2023-10-18" @default.
- W2313795964 title "Delay-dependent stability criteria for neutral delay differential and difference equations" @default.
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- W2313795964 doi "https://doi.org/10.3934/dcds.2014.34.4577" @default.
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