Displaying similar documents to “Schur stability of the convex combination of complex polynomials”

On stable cones of polynomials via reduced Routh parameters

Ülo Nurges, Juri Belikov, Igor Artemchuk (2016)

Kybernetika

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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)...

On the D -stability problem for real matrices

Russell Johnson, Alberto Tesi (1999)

Bollettino dell'Unione Matematica Italiana

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Vengono discusse delle condizioni sufficienti affinchè una matrice reale A delle dimensioni n × n sia diagonalmente (o D -) stabile. Esse includono delle ipotesi geometriche (condizioni degli ortanti), e un criterio che generalizza un criterio di Carlson. Inoltre si discute la D -stabilità robusta per le matrici reali delle dimensioni 4 × 4