A fundamental notion of equivalence for linear multivariable systems
A.C. Pugh, Nicholas P. Karampetakis, Antonis I. G. Vardulakis, G.E. Hayton · IEEE Transactions on Automatic Control · 1994
A fundamental form of equivalence of polynomial matrix descriptions of linear multivariable systems is defined, based on the existence of a bijective map between the finite and infinite solution sets of the differential equations describing the two systems. The connection with the system matrix relationship of full system equivalence is established.>