Robustness bounds for matrix DU-stability

This paper addresses the problem of robust matrix root-clustering analysis. The considered matrices are complex and subject to both polytopic and parameter-dependent norm-bounded uncertainties. The clustering regions are unions of convex and possibly disjoint and nonsymmetric subregions of the complex plane. The proposed clustering conditions are formulated through an approach based upon Linear Matrix Inequalities. These numerical tools enable to easiliy compute Lyapunov matrices (possibly parameter-dependent) that ensure the clustering property.