Stability of Interval Positive Fractional Discrete–Time Linear Systems

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