Displaying similar documents to “A necessary and sufficient condition for stability of the convex combination of 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)...