Title :
A fundamental notion of equivalence for linear multivariable systems
Author :
Pugh, A.C. ; Karampetakis, N.P. ; Vardulakis, A.I.G. ; Hayton, G.E.
Author_Institution :
Dept. of Math. Sci., Loughborough Univ. of Technol., UK
fDate :
5/1/1994 12:00:00 AM
Abstract :
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
Keywords :
differential equations; linear systems; matrix algebra; multivariable control systems; polynomials; bijective map; differential equations; equivalence; finite solution sets; infinite solution sets; linear multivariable systems; polynomial matrix descriptions; Differential equations; Frequency; Linear systems; MIMO; Mathematics; Poles and zeros; Polynomials; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
