Responses comparison of the two discrete-time linear fractional state-space models

DOI10.1515/fca-2016-0043zbMath1344.34016OpenAlexW2508796157MaRDI QIDQ309291

Tadeusz Kaczorek, Piotr Ostalczyk

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0043

zbMATH Keywords

linear discrete systemsdiscrete fractional calculuslinear difference fractional-order equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08) Numerical methods for difference equations (65Q10)

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New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions, Stability Analysis of Fractional Discrete-Time Linear Scalar Systems with Pure Delay, State Delays Extraction in the Fractional-Order State-Space Model, Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model, Stability Analysis for a Class of Fractional Discrete-Time Linear Scalar Systems with Multiple Delays in State, Stability Analysis for the New Model of Fractional Discrete-Time Linear State-Space Systems, Fractional-order value identification of the discrete integrator from a noised signal. I, Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems

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