@inproceedings{683de6af23374cd380b7f1cfc961f433,
title = "Stability of two-variable interval polynomials via positivity",
abstract = "Stability criteria are proposed for two-variable (2D) polynomials having interval parameters in polynomic uncertainty structures. Both the left-half plane and unit circle domains are considered. Save for a minor condition, the criteria reduce robust stability testing of 2D polynomials to testing positivity of only two polynomials. The appealing feature of the new robustness criteria is that positivity testing can be carried out by using the efficient Bernstein minimization algorithms.",
keywords = "Bernstein expansion, Interval parameters, Left-half plane, Positive polynomials, Stability, Time-delay systems, Two-variable polynomials, Unit circle",
author = "{\v S}iljak, {Dragoslav D.} and Stipanovi{\v c}, {Du{\v s}an M.}",
note = "Publisher Copyright: Copyright {\textcopyright} 2002 IFAC.; 15th World Congress of the International Federation of Automatic Control, 2002 ; Conference date: 21-07-2002 Through 26-07-2002",
year = "2002",
doi = "10.3182/20020721-6-es-1901.00163",
language = "English (US)",
isbn = "9783902661746",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1",
pages = "7--12",
editor = "Gabriel Ferrate and Camacho, {Eduardo F.} and Luis Basanez and {de la Puente}, {Juan. A.}",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
edition = "1",
}