Stability of Interval Positive Fractional Discrete–Time Linear Systems

Tadeusz Kaczorek

doi:10.2478/amcs-2018-0034

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Stability of Interval Positive Fractional Discrete–Time Linear Systems

International Journal of Applied Mathematics and Computer Science

Volume 28 (2018): Issue 3 (September 2018)

By: Tadeusz Kaczorek

Open Access

|Oct 2018

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.

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