Stable convex sets of matrices

Shmuel Friedland
1984 Linear and multilinear algebra  
A subset Ar of nxn c leixvaliwed matrices is stable if all powers of all matrices from the set A are uniformly bounded. We show that if-A is a bounded convex circular set which spans a stable linear subspace of matrices, then ;A, is stable if the spectral radius of any A A is bounded by 1.
doi:10.1080/03081088408817631 fatcat:furprgmwovc2hbifrmxjugt5sa