Sufficient algebraic conditions for stability of cones of polynomials

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Bibliographic Details
Title: Sufficient algebraic conditions for stability of cones of polynomials
Authors: Aguirre, B.1, Ibarra, C.1, Suárez, R. rsuarez@xanum.uam.mx
Source: Systems & Control Letters. Jul2002, Vol. 46 Issue 4, p255. 9p.
Subjects: Polynomials, Electronic controllers
Abstract: In this paper a sufficient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains c such that the function u=−kcTx is a stabilizing control feedback for all k>0 is shown to exist. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:In this paper a sufficient condition for a cone of polynomials to be Hurwitz is established. Such condition is a matrix inequality, which gives a simple algebraic test for the stability of rays of polynomials. As an application to stable open-loop systems, a cone of gains <f>c</f> such that the function <f>u=−kcTx</f> is a stabilizing control feedback for all <f>k>0</f> is shown to exist. [Copyright &y& Elsevier]
ISSN:01676911
DOI:10.1016/S0167-6911(02)00131-7