International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2018
Volume 28 - 2018

Stability of interval positive fractional discrete-time linear systems

Tadeusz Kaczorek

Abstract
The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.

Keywords
interval system, positive system, fractional system, linear discrete-time system, stability

DOI
10.2478/amcs-2018-0034