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A Complete Method for Checking Hurwitz Stability of a Polytope of Matrices (1001.0304v1)
Published 2 Jan 2010 in cs.SC
Abstract: We present a novel method for checking the Hurwitz stability of a polytope of matrices. First we prove that the polytope matrix is stable if and only if two homogenous polynomials are positive on a simplex, then through a newly proposed method, i.e., the weighted difference substitution method, the latter can be checked in finite steps. Examples show the efficiency of our method.
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