On the stability of convex symmetric polytopes of matrices
Electronic journal of differential equations, Tome 2000 (2000)
In 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.
Classification : 34K20
Keywords: polytope, stability radius, matrix analysis
@article{EJDE_2000__2000__a191,
     author = {de la Hara Mart{\'\i}nez,  Gilner and Gonz\'alez Mastrapa,  Henry and V\'azquez Silva,  Efr\'en},
     title = {On the stability of convex symmetric polytopes of matrices},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0977.34049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a191/}
}
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de la Hara Martínez,  Gilner; González Mastrapa,  Henry; Vázquez Silva,  Efrén. On the stability of convex symmetric polytopes of matrices. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a191/