Standard
Robust Schur Stability of a Polynomial Matrix Family. / Kalinina, Elizaveta; Smol’kin, Yuri; Uteshev, Alexei.
Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings. ed. / Matthew England; Timur M. Sadykov; Werner M. Seiler; Wolfram Koepf; Evgenii V. Vorozhtsov. Springer Nature, 2019. p. 262-279 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11661 LNCS).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Harvard
Kalinina, E, Smol’kin, Y & Uteshev, A 2019,
Robust Schur Stability of a Polynomial Matrix Family. in M England, TM Sadykov, WM Seiler, W Koepf & EV Vorozhtsov (eds),
Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11661 LNCS, Springer Nature, pp. 262-279, 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019, Moscow, Russian Federation,
26/08/19.
https://doi.org/10.1007/978-3-030-26831-2_18,
https://doi.org/10.1007/978-3-030-26831-2_18
APA
Kalinina, E., Smol’kin, Y., & Uteshev, A. (2019).
Robust Schur Stability of a Polynomial Matrix Family. In M. England, T. M. Sadykov, W. M. Seiler, W. Koepf, & E. V. Vorozhtsov (Eds.),
Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings (pp. 262-279). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11661 LNCS). Springer Nature.
https://doi.org/10.1007/978-3-030-26831-2_18,
https://doi.org/10.1007/978-3-030-26831-2_18
Vancouver
Kalinina E, Smol’kin Y, Uteshev A.
Robust Schur Stability of a Polynomial Matrix Family. In England M, Sadykov TM, Seiler WM, Koepf W, Vorozhtsov EV, editors, Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings. Springer Nature. 2019. p. 262-279. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
https://doi.org/10.1007/978-3-030-26831-2_18,
https://doi.org/10.1007/978-3-030-26831-2_18
Author
BibTeX
@inproceedings{2cc546c25f034ffdb138d25d41da8167,
title = "Robust Schur Stability of a Polynomial Matrix Family",
abstract = "The problem of robust Schur stability of a polynomial matrix family is considered as that of discovering the structure of the stability domain in parameter space. The algorithms are proposed for establishing whether or not any given box in the parameter space belongs to this domain, and for finding the distance to instability from any internal point of the domain to its boundary. The treatment is performed in the ideology of analytical algorithm for elimination of variables and localization of zeros of algebraic systems. Some examples are given.",
keywords = "Discriminant, Matrix polynomials, Parameters, Robust schur stability",
author = "Elizaveta Kalinina and Yuri Smol{\textquoteright}kin and Alexei Uteshev",
year = "2019",
month = aug,
day = "1",
doi = "10.1007/978-3-030-26831-2_18",
language = "English",
isbn = "9783030268305",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "262--279",
editor = "Matthew England and Sadykov, {Timur M.} and Seiler, {Werner M.} and Wolfram Koepf and Vorozhtsov, {Evgenii V.}",
booktitle = "Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings",
address = "Germany",
note = "21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019 ; Conference date: 26-08-2019 Through 30-08-2019",
}
RIS
TY - GEN
T1 - Robust Schur Stability of a Polynomial Matrix Family
AU - Kalinina, Elizaveta
AU - Smol’kin, Yuri
AU - Uteshev, Alexei
PY - 2019/8/1
Y1 - 2019/8/1
N2 - The problem of robust Schur stability of a polynomial matrix family is considered as that of discovering the structure of the stability domain in parameter space. The algorithms are proposed for establishing whether or not any given box in the parameter space belongs to this domain, and for finding the distance to instability from any internal point of the domain to its boundary. The treatment is performed in the ideology of analytical algorithm for elimination of variables and localization of zeros of algebraic systems. Some examples are given.
AB - The problem of robust Schur stability of a polynomial matrix family is considered as that of discovering the structure of the stability domain in parameter space. The algorithms are proposed for establishing whether or not any given box in the parameter space belongs to this domain, and for finding the distance to instability from any internal point of the domain to its boundary. The treatment is performed in the ideology of analytical algorithm for elimination of variables and localization of zeros of algebraic systems. Some examples are given.
KW - Discriminant
KW - Matrix polynomials
KW - Parameters
KW - Robust schur stability
UR - http://www.scopus.com/inward/record.url?scp=85071419667&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/robust-schur-stability-polynomial-matrix-family
U2 - 10.1007/978-3-030-26831-2_18
DO - 10.1007/978-3-030-26831-2_18
M3 - Conference contribution
AN - SCOPUS:85071419667
SN - 9783030268305
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 262
EP - 279
BT - Computer Algebra in Scientific Computing - 21st International Workshop, CASC 2019, Proceedings
A2 - England, Matthew
A2 - Sadykov, Timur M.
A2 - Seiler, Werner M.
A2 - Koepf, Wolfram
A2 - Vorozhtsov, Evgenii V.
PB - Springer Nature
T2 - 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019
Y2 - 26 August 2019 through 30 August 2019
ER -
