On the relation between transfer matrices and polynomial fractional representations of linear continuous-time time-varying systems

Abstract

Using the framework of E. Emre et al. (1982), an explicit relationship between transfer matrices and (right or left) polynomial fractional representations of linear continuous-time time-varying systems is given. The authors also show that the matrix (pI-F) for the time-varying system Sigma =(F,G,H) has a left inverse over a skew ring.<>