Fractional positive linear systems
Tadeusz Kaczorek
(Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland)
281
Abstract
Purpose
The purpose of this paper is to introduce a new class of fractional positive continuous‐time and discrete‐time linear systems.
Design/methodology/approach
Solutions to the state equations of the fractional systems are given.
Findings
Necessary and sufficient conditions are established for the internal and external positivity and of the reachability and controllability to zero of the fractional systems.
Originality/value
A method for analysis of the fractional positive linear systems is proposed.
Keywords
Citation
Kaczorek, T. (2009), "Fractional positive linear systems", Kybernetes, Vol. 38 No. 7/8, pp. 1059-1078. https://doi.org/10.1108/03684920910976826
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited