<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

Publié en ligne: 05 avr. 2007

Pages: 23 - 25

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

Mots clés
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

Publié en ligne: 05 avr. 2007

Pages: 23 - 25

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

Mots clésminimal realization, decomposition, improper transfer matrix, singular linear system

This content is open access.

Mots clés
minimal realization, decomposition, improper transfer matrix, singular linear system