A necessary and sufficient condition for stability of the convex combination of polynomials
Stanisław Białas (2004)
Control and Cybernetics
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Stanisław Białas (2004)
Control and Cybernetics
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Zahreddine, Ziad (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Jean Mawhin (1997)
Archivum Mathematicum
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Petr Hušek (2008)
Control and Cybernetics
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Akyar, Handan, Büyükköroğlu, Taner, Dzhafarov, Vakıf (2010)
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Šiljak, Dragoslav D., Šiljak, Matija D. (1998)
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López-Renteria, Jorge-Antonio, Aguirre-Hernández, Baltazar, Verduzco, Fernando (2011)
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Ülo Nurges, Juri Belikov, Igor Artemchuk (2016)
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A problem of inner convex approximation of a stability domain for continuous-time linear systems is addressed in the paper. A constructive procedure for generating stable cones in the polynomial coefficient space is explained. The main idea is based on a construction of so-called Routh stable line segments (half-lines) starting from a given stable point. These lines (Routh rays) represent edges of the corresponding Routh subcones that form (possibly after truncation) a polyhedral (truncated)...
Russell Johnson, Alberto Tesi (1999)
Bollettino dell'Unione Matematica Italiana
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Vengono discusse delle condizioni sufficienti affinchè una matrice reale delle dimensioni sia diagonalmente (o -) stabile. Esse includono delle ipotesi geometriche (condizioni degli ortanti), e un criterio che generalizza un criterio di Carlson. Inoltre si discute la -stabilità robusta per le matrici reali delle dimensioni