Normalized finite fractional differences: Computational and accuracy breakthroughs

DOI10.2478/v10006-012-0067-9zbMath1283.93176OpenAlexW2009891428MaRDI QIDQ5403402

Rafał Stanisławski, Krzysztof J. Latawiec

Publication date: 26 March 2014

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10006-012-0067-9

zbMATH Keywords

stability analysisfractional differencerecursive computationGrünwald-Letnikov differenceadaptive systems.

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Discrete-time control/observation systems (93C55) Stability of control systems (93D99)

Related Items (12)

A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference ⋮ On the convergence and stability of fractional singular Kalman filter and Riccati equation ⋮ New Laguerre filter approximators to the Grünwald-Letnikov fractional difference ⋮ Fractional-order discrete-time Laguerre filters: a new tool for modeling and stability analysis of fractional-order LTI SISO systems ⋮ New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions ⋮ Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems ⋮ Aspects of the Finite Step Observability of Fractional Order Discrete-Time Polynomial Systems ⋮ Switching Energy Loss in Fractional-Order Time-Varying Heat Diffusion Model ⋮ Fractional-order singular logistic map: stability, bifurcation and chaos analysis ⋮ Modeling of Fractional-Order Integrators and Differentiators Using Tustin-Based Approximations and Model Order Reduction Techniques ⋮ Mixed logical dynamical modeling of discrete-time hybrid fractional systems ⋮ Modeling of discrete-time fractional-order state space systems using the balanced truncation method

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