On the stability of convex symmetric polytopes of matrices

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.

Keywords

• Polytope
• stability radius
• matrix analysis.