Abstract:

In this paper, a solution to the approximate factorization problem of an $m$-D polynomial into stable $m$-D factors that are linear in all variables is presented. A non-factorizable multidimensional polynomial is factorized approximately into linear factors in the sense of the least squares approach. The constraints for the minimization problem are imposed by the stability conditions. The results are illustrated by means of a $2$-D numerical example.