© 1993 by Institute of Mathematics and its Applications
On a certain McMillan-degree condition appearing in control



*Department of Mathematical Sciences, Loughborough University LE11 3TU, U.K.
Department of Mathematics, University of Thessaloniki Thessaloniki 54006, Greece
Department of Electronic Engineering, Hull University Hull HU6 7RX, U.K
The paper presents a number of interpretations of the McMillan-degree conditions appearing in the transformation of full equivalence defined by Hayton et al. in 1988. The most satisfactory explanation seems to be that of guaranteeing the existence of a linear map between the solution sets of the ordinary differential equations which underly the matrices involved in the transformation.