Abstract
The mapping of the polyhedron of coefficients of a polynomial into the root plane is considered. An angle of the sector (depending on the dimension of the polyhedron) is determined, in which the domains of roots are bounded by disjoint images of the edges. The coordinates of the edge route, which is mapped on the boundaries of the root domains in the sector, are found. Some conditions of the robust sector stability of an interval polynomial are formulated.
| Original language | English |
|---|---|
| Title of host publication | 1st International Symposium on Systems and Control in Aerospace and Astronautics |
| Pages | 535-539 |
| Number of pages | 5 |
| Volume | 2006 |
| Publication status | Published - 17 Nov 2006 |
| Event | 1st International Symposium on Systems and Control in Aerospace and Astronautics - Harbin, China Duration: 19 Jan 2006 → 21 Jan 2006 |
Other
| Other | 1st International Symposium on Systems and Control in Aerospace and Astronautics |
|---|---|
| Country | China |
| City | Harbin |
| Period | 19.1.06 → 21.1.06 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
The robust sector stability analysis of an interval polynomial. / Gayvoronskiy, Sergey A.; Zamyatin, Sergey V.
1st International Symposium on Systems and Control in Aerospace and Astronautics. Vol. 2006 2006. p. 535-539 1627680.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - The robust sector stability analysis of an interval polynomial
AU - Gayvoronskiy, Sergey A.
AU - Zamyatin, Sergey V.
PY - 2006/11/17
Y1 - 2006/11/17
N2 - The mapping of the polyhedron of coefficients of a polynomial into the root plane is considered. An angle of the sector (depending on the dimension of the polyhedron) is determined, in which the domains of roots are bounded by disjoint images of the edges. The coordinates of the edge route, which is mapped on the boundaries of the root domains in the sector, are found. Some conditions of the robust sector stability of an interval polynomial are formulated.
AB - The mapping of the polyhedron of coefficients of a polynomial into the root plane is considered. An angle of the sector (depending on the dimension of the polyhedron) is determined, in which the domains of roots are bounded by disjoint images of the edges. The coordinates of the edge route, which is mapped on the boundaries of the root domains in the sector, are found. Some conditions of the robust sector stability of an interval polynomial are formulated.
UR - http://www.scopus.com/inward/record.url?scp=33750940224&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750940224&partnerID=8YFLogxK
M3 - Conference contribution
SN - 0780393953
SN - 9780780393950
VL - 2006
SP - 535
EP - 539
BT - 1st International Symposium on Systems and Control in Aerospace and Astronautics
ER -