Matrix fractions and full system equivalence

Following the definition by Hayton et al . (1990) of full system equivalence for linear multivariables systems, the concept of full unimodular equivalence is defined for matrix fraction descriotions(MFDs). Full unimodular equivalence is an extension of unimodular equivalence, which has been proposed by Kailath (1980) and Smith (1981) for systems described by polynomial matrix models in either left or right MFD form. Full unimodular equivalence has the property of leaving invariant both the finite and infinite structure of the system. It is shown that full unimodular equivalence for MFDs and full system equivalence coincide.