The robust sector stability analysis of an interval polynomial

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

ASJC Scopus subject areas

Engineering(all)

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title = "The robust sector stability analysis of an interval polynomial",

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.",

author = "Gayvoronskiy, {Sergey A.} and Zamyatin, {Sergey V.}",

year = "2006",

month = nov,

day = "17",

language = "English",

isbn = "0780393953",

volume = "2006",

pages = "535--539",

booktitle = "1st International Symposium on Systems and Control in Aerospace and Astronautics",

note = "1st International Symposium on Systems and Control in Aerospace and Astronautics ; Conference date: 19-01-2006 Through 21-01-2006",

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T1 - The robust sector stability analysis of an interval polynomial

AU - Gayvoronskiy, Sergey A.

AU - Zamyatin, Sergey V.

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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.

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M3 - Conference contribution

AN - SCOPUS:33750940224

SN - 0780393953

SN - 9780780393950

VL - 2006

SP - 535

EP - 539

BT - 1st International Symposium on Systems and Control in Aerospace and Astronautics

T2 - 1st International Symposium on Systems and Control in Aerospace and Astronautics

Y2 - 19 January 2006 through 21 January 2006

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