Infinite elementary divisors of a matrix polynomial and implications
G.E. Hayton, A.C. Pugh, P. Fretwell · International Journal of Control · 1988
A new characterization of infinite poles and zeros in terms of a natural extension of the idea of infinite elementary divisors of a matrix pencil to matrix polynomials is developed. It is used to show that two previous descriptions of infinite frequency structure are equivalent. Subsequently, a polynomial matrix transformation, which simultaneously preserves the finite and infinite zero structure, is presented.