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Title: On stable cones of polynomials via reduced Routh parameters (English)
Author: Nurges, Ülo
Author: Belikov, Juri
Author: Artemchuk, Igor
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 52
Issue: 3
Year: 2016
Pages: 461-477
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: linear systems
Keyword: Hurwitz stability
Keyword: convex approximation
MSC: 93C05
MSC: 93D09
idZBL: Zbl 06644305
idMR: MR3532517
DOI: 10.14736/kyb-2016-3-0461
Date available: 2016-07-17T12:19:47Z
Last updated: 2018-01-10
Stable URL:
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