Title :
Some properties and applications of matrix continued fraction
Author :
Shieh, Leang-San ; Gaudiano, Frank F., Jr.
fDate :
9/1/1975 12:00:00 AM
Abstract :
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.
Keywords :
Continued fractions; General analysis and synthesis methods; Linear systems, time-invariant continuous-time; Matrix inversion; Matrix methods; Minimal realizations; Rational matrices; Circuits and systems; Equations; Helium; Hydrogen; MIMO; Polynomials;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1975.1084121
