An Integrable Mapping with Fractional Difference

descriptionPublicationkeyboard_double_arrow_right Article 15 Sep 2003 English Publisher:Physical Society of JapanJournal:Journal of the Physical Society of Japan, volume 72, pages 2,181-2,183 (issn: 0031-9015, eissn: 1347-4073,

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Authors: Nagai, Atsushi;

doi: 10.1143/jpsj.72.2181

An Integrable Mapping with Fractional Difference

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Abstract

A generalization of discrete-time Riccati difference equation is introduced. It is shown that this equation has an explicit solution that resembles the discrete form of the Mittag-Leffler function.

Related Organizations

Osaka University
Japan

Keywords

Mittag-Leffler function, Discrete-time control/observation systems, discrete-time systems, Difference equations, scaling (\(q\)-differences), Nonlinear systems in control theory, discrete-time Riccati difference equation, nonlinear systems, scaling \(q\)-differences

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