Geodesic
On stable cones of polynomials via reduced Routh parameters
Kybernetika, Tome 52 (2016) no. 3, pp. 461-477.

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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) Routh cone. An algorithm for approximating a stability domain by the Routh cone is presented.
DOI : 10.14736/kyb-2016-3-0461
Classification : 93C05, 93D09
Keywords: linear systems; Hurwitz stability; convex approximation 
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     title = {On stable cones of polynomials via reduced {Routh} parameters},
     journal = {Kybernetika},
     pages = {461--477},
     publisher = {mathdoc},
     volume = {52},
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     year = {2016},
     doi = {10.14736/kyb-2016-3-0461},
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     zbl = {06644305},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-3-0461/}
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Nurges, Ülo; Belikov, Juri; Artemchuk, Igor. On stable cones of polynomials via reduced Routh parameters. Kybernetika, Tome 52 (2016) no. 3, pp. 461-477. doi : 10.14736/kyb-2016-3-0461. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-3-0461/

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