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 = -kc(T)x is a stabilizing control feedback for all k > 0 is shown to exist. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 18]
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