Alternative Parameter Reduction of All Stabilizing Controllers for Multidimensional Systems

This paper presents an alternative parameterization method of stabilizing controllers, which can be applied to the multidimensional systems with the structural stability. The result in this paper will not assume the existence of the co-prime factorizability. Unlike the previous results, this paper employs elementary matrix operations and neither the localization nor the local-global principle which need the knowledge of theory of abstract algebras.