<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Computation of Realizations Composed of Dynamic and Static Parts of Improper Transfer Matrices

Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, kaczorek@isep.pw.edu.pl

International Journal of Applied Mathematics and Computer Science

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...

Computation of Realizations Composed of Dynamic and Static Parts of Improper Transfer Matrices

Published Online: Apr 05, 2007

Page range: 23 - 25

DOI: https://doi.org/10.2478/v10006-007-0003-6

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

This content is open access.

Computation of Realizations Composed of Dynamic and Static Parts of Improper Transfer Matrices

Published Online: Apr 05, 2007

Page range: 23 - 25

DOI: https://doi.org/10.2478/v10006-007-0003-6

Keywordsminimal realization, decomposition, improper transfer matrix, singular linear system

This content is open access.

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