On stable cones of polynomials via reduced Routh parameters
Ülo Nurges; Juri Belikov; Igor Artemchuk
Kybernetika (2016)
- Volume: 52, Issue: 3, page 461-477
- ISSN: 0023-5954
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topNurges, Ülo, Belikov, Juri, and Artemchuk, Igor. "On stable cones of polynomials via reduced Routh parameters." Kybernetika 52.3 (2016): 461-477. <http://eudml.org/doc/281539>.
@article{Nurges2016,
abstract = {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.},
author = {Nurges, Ülo, Belikov, Juri, Artemchuk, Igor},
journal = {Kybernetika},
keywords = {linear systems; Hurwitz stability; convex approximation},
language = {eng},
number = {3},
pages = {461-477},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On stable cones of polynomials via reduced Routh parameters},
url = {http://eudml.org/doc/281539},
volume = {52},
year = {2016},
}
TY - JOUR
AU - Nurges, Ülo
AU - Belikov, Juri
AU - Artemchuk, Igor
TI - On stable cones of polynomials via reduced Routh parameters
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 3
SP - 461
EP - 477
AB - 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.
LA - eng
KW - linear systems; Hurwitz stability; convex approximation
UR - http://eudml.org/doc/281539
ER -
References
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