Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability

Dorota Mozyrska, Malgorzata Wyrwas


In the paper the Grünwald–Letnikov-type linear fractional variable order discrete-time systems are studied. The conditions for stability and instability are formulated. The regions of the systems stability are determined accordingly to locus of eigenvalues of a matrix associated to the considered system.



Asymptotic stability; Fractional calculus; Stability analysis; System analysis and design.

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Print ISSN: 1392-1215
Online ISSN: 2029-5731