Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 09, pp. 1-17.

Title: On the stability of convex symmetric polytopes of  matrices

Authors: Gilner de la Hera Martinez (Univ. of Las Tunas, Cuba)
         Henry Gonzalez Mastrapa  (Univ. de Oriente, Santiago de Cuba)
         Efren Vazquez Silva (Univ. of Holguin, Cuba)

Abstract: 
 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  $r$. 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.

Submitted October 28, 1999. Published January 27, 2000.
Math Subject Classifications: 34K20.
Key Words: Polytope; stability radius; matrix analysis.