International Journal of applied mathematics and computer science

online read us now

Paper details

Number 1 - March 2007
Volume 17 - 2007

Computation of realizations composed of dynamic and static parts of improper transfer matrices

Tadeusz Kaczorek

Abstract
The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.

Keywords
minimal realization, decomposition, improper transfer matrix, singular linear system

DOI
10.2478/v10006-007-0003-6