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Robust Stability Check of Fractional Discrete-Time Linear Systems with Interval Uncertainties

  • Mikołaj Busłowicz
  • Andrzej Ruszewski
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 320)

Abstract

The paper presents the problems of robust practical stability and robust asymptotic stability of fractional-order discrete-time linear systems with uncertainty. It is supposed that the system matrix is the interval matrix which elements are the convex combinations of the elements of specified bounded matrices and the fractional order α satisfies 0 < α < 1. Using the matrix measure the robust stability conditions are given. The considerations are illustrated by numerical examples.

Keywords

Linear system discrete-time fractional-order robust stability interval matrix 

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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBiałystokPoland

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