| 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:
|
http://hdl.handle.net/10338.dmlcz/145786 |
| . |
| Reference:
|
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| Reference:
|
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