Some properties and applications of matrix continued fraction
Leang‐San Shieh, F. Gaudiano · IEEE Transactions on Circuits and Systems · 1975
The formulation of matrix continued fraction of three Cauer matrix forms and their dynamic state equations for linear timeinvariant multivariable circuits and systems is derived. The state-space representation formulated in this paper is a minimal realization. Applications of this method to the inversion of a rational matrix whose entries are polynomials in s and to the reduction of a multivariable system are described.