Before revision:  The theory behind our  algorithm is elementary and uses the concept of invariant subspaces for the Matlab {\tt eig} computed 'eigenvectors' of one flow matrix A (t_a) to find the coarsest simultaneous block structure for all flow matrices A (t_b).
After revision:  The theory behind our proposed algorithm is elementary and uses the concept of invariant subspaces for the Matlab {\tt eig} computed 'eigenvectors' of one flow matrix A (t_a) to find the coarsest simultaneous block structure for all flow matrices A (t_b).