<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.</p></abstract>

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.

Positive stable realizations of fractional continuous-time linear systems

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

International Journal of Applied Mathematics and Computer Science

{"article-title":"Positive stable realizations of fractional continuous-time linear systems"}

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A...

Positive stable realizations of fractional continuous-time linear systems

Published Online: Dec 21, 2011

Page range: 697 - 702

DOI: https://doi.org/10.2478/v10006-011-0055-5

Keywords
fractional, positive, stable, realization, system Metzler matrix, procedure, linear continuous-time

This content is open access.

Positive stable realizations of fractional continuous-time linear systems

Published Online: Dec 21, 2011

Page range: 697 - 702

DOI: https://doi.org/10.2478/v10006-011-0055-5

Keywordsfractional, positive, stable, realization, system Metzler matrix, procedure, linear continuous-time

This content is open access.

Keywords
fractional, positive, stable, realization, system Metzler matrix, procedure, linear continuous-time