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

Tadeusz Kaczorek

doi:10.2478/v10006-007-0003-6

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

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 1 (March 2007)

By: Tadeusz Kaczorek

Open Access

|Apr 2007

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.

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