STABILITY OF CONVEX COMBINATIONS OF HURWITZ OR SCHUR STABLE MATRICES
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Abstract
Given that two systems of differential equations- or equivalently two matrices are Hurwitz (Schur) stable. We determine whether a convex combination of the specified matrices is also Hurwitz (Schur) stable. The procedure used, provides a unified approach to the testing of both types of stability. The property of aperiodicity of a convex combination of two matrices is also considered.
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