International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2011
Volume 21 - 2011

Positive stable realizations of fractional continuous-time linear systems

Tadeusz Kaczorek

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.

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

DOI
10.2478/v10006-011-0055-5