This paper establishes a link between the Lagrange's continued fraction expansion (CFE) and two CFEs the author recently introduced for approximating the operators , and their discrete realizations. The zeros and poles of these new approximations alternate on the negative real half-axis of the s-plane (in the case of analog realizations) and on the real segment inside the unit circle of the z-plane (in the case of discrete realizations). Finally, the paper shows that the discrete approximations of s ν have poles and zeros enjoying a nice symmetrical distribution on the z-plane.
Properties of Continued Fractions Approximations of Fractional Analog and Digital Operators / Maione, Guido. - ELETTRONICO. - (2019), pp. 332-337. (Intervento presentato al convegno 6th International Conference on Control, Decision and Information Technologies, CoDIT 2019 tenutosi a Paris, France nel April 23-26, 2019) [10.1109/CoDIT.2019.8820521].
Properties of Continued Fractions Approximations of Fractional Analog and Digital Operators
Guido Maione
2019-01-01
Abstract
This paper establishes a link between the Lagrange's continued fraction expansion (CFE) and two CFEs the author recently introduced for approximating the operators , and their discrete realizations. The zeros and poles of these new approximations alternate on the negative real half-axis of the s-plane (in the case of analog realizations) and on the real segment inside the unit circle of the z-plane (in the case of discrete realizations). Finally, the paper shows that the discrete approximations of s ν have poles and zeros enjoying a nice symmetrical distribution on the z-plane.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
