Impulse response of commensurate fractional-order systems: multiple complex poles
DOI10.1007/s13540-022-00086-4zbMath1503.34139OpenAlexW4295706233WikidataQ114016946 ScholiaQ114016946MaRDI QIDQ2110561
Dalibor Biolek, Roberto Garrappa, Viera Biolkova
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00086-4
Laplace transformfractional calculusimpulse responseMittag-Leffler functionscomplex polescommensurate systems
Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Functional-differential equations with fractional derivatives (34K37)
Uses Software
Cites Work
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- Fractional order Sallen-Key and KHN filters: stability and poles allocation
- Fractional-order systems and controls. Fundamentals and applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Computing the matrix Mittag-Leffler function with applications to fractional calculus
- Accurate Padé global approximations for the Mittag-Leffler function, its inverse, and its partial derivatives to efficiently compute convergent power series
- A practical guide to Prabhakar fractional calculus
- On the fractional derivative of Dirac delta function and its application
- Taxicab geometry in table of higher-order elements
- Evaluation of generalized Mittag-Leffler functions on the real line
- Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
- Stability of Fractional-Order Systems with Rational Orders
- A Schur-Parlett Algorithm for Computing Matrix Functions
- Mittag-Leffler Functions, Related Topics and Applications
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
- Impulse response of a generalized fractional second order filter
- On the numerical computation of the Mittag-Leffler function
- On the numerical computation of the Mittag-Leffler function
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