Martinez, Gilner de la HeraMastrapa, Henry GonzalezSilva, Efren Vazquez2019-12-202019-12-202000-01-27Martinez, G. H., Mastrapa, H. G., & Silva, E. V. (2000). On the stability of convex symmetric polytopes of matrices. <i>Electronic Journal of Differential Equations, 2000</i>, pp. 1-171072-6691https://hdl.handle.net/10877/9130In this warticle we investigate the stability properties of a convex symmetric time-varying second-order matrix's polytope depending on a real positive parameter. We apply the results obtained to the calculation of the stability radius of a second order matrix under affine general perturbations, and under linear structured multiple perturbations.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalPolytopeStability radiusMatrix analysisArticle