Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability
Keywords:Asymptotic stability, Fractional calculus, Stability analysis, System analysis and design.
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.
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