In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter r. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affine perturbations.Keywords: Polytope, stability radius, matrix analysis, Hurwitz stability.
ResumenEn este trabajo estudiamos las propiedads de estabilidad de un politopo simétrico y convexo de matrices de tercer orden invariantes en el tiempo, este politopo depende de un parámetro real positivo r. Los resultados que se obtienen son aplicados al cálculo de radio real de estabilidad, no dependiente del tiempo, de una matriz cuadrada de tercer orden sometida a cierta multiperturbación afin.
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