Some remarks on the -stability for families of polynomials
Jean Mawhin (1997)
Archivum Mathematicum
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Jean Mawhin (1997)
Archivum Mathematicum
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Zahreddine, Ziad (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Tomáš Bajbar, Sönke Behrends (2019)
Kybernetika
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In this article we analyze the relationship between the growth and stability properties of coercive polynomials. For coercive polynomials we introduce the degree of stable coercivity which measures how stable the coercivity is with respect to small perturbations by other polynomials. We link the degree of stable coercivity to the Łojasiewicz exponent at infinity and we show an explicit relation between them.
López-Renteria, Jorge-Antonio, Aguirre-Hernández, Baltazar, Verduzco, Fernando (2011)
Mathematical Problems in Engineering
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Akyar, Handan, Büyükköroğlu, Taner, Dzhafarov, Vakıf (2010)
Abstract and Applied Analysis
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Stanisław Białas, Małgorzata Białas (2010)
Control and Cybernetics
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Šiljak, Dragoslav D., Šiljak, Matija D. (1998)
Mathematical Problems in Engineering
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Ezra Zeheb (1999)
Kybernetika
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Systems with time-varying non-linearity confined to a given sector (Luré type) and a linear part with uncertainty formulated by an interval transfer function, are considered. Sufficient conditions satisfying the Popov criterion for stability, which are computationally tractable, are derived. The problem of checking the Popov criterion for an infinite set of systems, is reduced to that of checking the Popov criterion for a finite number of fixed coefficient systems, each in a prescribed...