Erol Emre / Heng-Ming Tai / Jin Heon Seo Transfer Matrices, Reliazation, and Control of Continuous-Time Linear Time-Varying Systems via Polynomial Fractional Representations Journal Article In: Linear Algebra and its Applications, vol. 141, pp. 79-104, 1990, ISSN: 0024-3795. @article{EmreTaiSeo90,
title = {Transfer Matrices, Reliazation, and Control of Continuous-Time Linear Time-Varying Systems via Polynomial Fractional Representations},
author = {Erol Emre and Heng-Ming Tai and Jin Heon Seo},
doi = {10.1016/0024-3795(90)90311-Y},
issn = {0024-3795},
year = {1990},
date = {1990-01-01},
journal = {Linear Algebra and its Applications},
volume = {141},
pages = {79-104},
abstract = {An algebraic theory of transfer matrices, fractional representations, and control for linear continuous-time time-varying systems based on the realization theory of input-output maps is given. It is shown for the first time that the realization of such systems specified by an abstract input-output map (as a module homomorphism over noncommutative polynomial rings) can be established using an abstract Kalman input-output map defined over a ring of skew polynomials with time-varying coefficients. It is shown that, in fact, transfer matrices can be defined as formal power},
keywords = {LZNEAR ALGEBRA},
pubstate = {published},
tppubtype = {article}
}
An algebraic theory of transfer matrices, fractional representations, and control for linear continuous-time time-varying systems based on the realization theory of input-output maps is given. It is shown for the first time that the realization of such systems specified by an abstract input-output map (as a module homomorphism over noncommutative polynomial rings) can be established using an abstract Kalman input-output map defined over a ring of skew polynomials with time-varying coefficients. It is shown that, in fact, transfer matrices can be defined as formal power |