Transformations of matrix pencils and implications in linear systems theory
A.C. Pugh, G.E. Hayton, P. Fretwell · International Journal of Control · 1987
A new transformation of matrix pencils is proposed and its theory formally developed. Its restriction to generalized state-space system-matrix pencils is shown to be an appropriate generalization of the usual state-space transformation and to represent a closed-form expression in system-matrix terms of Verghese's concept of strong equivalence of such pencils.