<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The positive and minimal realization problem for continuous-discrete linear single-input and single-outputs (SISO) systems is formulated. Two special case of the continuous-discrete systems are given. Method based on the state variable diagram for finding a positive and minimal realization of a given proper transfer function is proposed. Sufficient conditions for the existence of a positive minimal realization of a given proper transfer function of all-pole and all-zero systems are established. Two procedures for computation of a positive minimal realization are proposed and illustrated by a numerical examples.</p></abstract>

The positive and minimal realization problem for continuous-discrete linear single-input and single-outputs (SISO) systems is formulated. Two special case of the continuous-discrete systems are given. Method based on the state variable diagram for finding a positive and minimal realization of a given proper transfer function is proposed. Sufficient conditions for the existence of a positive minimal realization of a given proper transfer function of all-pole and all-zero systems are established. Two procedures for computation of a positive minimal realization are proposed and illustrated by a numerical examples.

POSITIVE MINIMAL REALIZATION OF CONTINUOUS-DISCRETE LINEAR SYSTEMS WITH ALL-POLE AND ALL-ZERO TRANSFER FUNCTION

Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok

Acta Mechanica et Automatica

The positive and minimal realization problem for continuous-discrete linear single-input and single-outputs (SISO) systems is formulated. Two special case of...

POSITIVE MINIMAL REALIZATION OF CONTINUOUS-DISCRETE LINEAR SYSTEMS WITH ALL-POLE AND ALL-ZERO TRANSFER FUNCTION

Published Online: Jan 22, 2014

Page range: 42 - 47

DOI: https://doi.org/10.2478/ama-2013-0008

This content is open access.