Markov Parameters of the Input-Output Map for Discrete-Time Order Systems with Grunvald-Letnikov H-Differece Operator

Ewa Pawłuszewicz , Andrzej Koszewnik


The realization problem of a fractional order discrete-time linear control systems defined by the Grünwald-Letnikov operator is consider. To this aim properties of a Markov-type sequence are studied. It is shown that an abstract input-output map has a state-space fractional order realization in finite number of steps if and only if the Markov-type parameters satisfy a linear recursion relation.
Author Ewa Pawłuszewicz (FME / DARM)
Ewa Pawłuszewicz,,
- Department of Robotics and Mechatronics
, Andrzej Koszewnik (FME / DARM)
Andrzej Koszewnik,,
- Department of Robotics and Mechatronics
Publication size in sheets0.5
Book 24th International Conference on Methods and Models in Automation & Robotics: MMAR 2019, 2019, Institute of Electrical and Electronics Engineers, ISBN 978-1-7281-0932-9, 668 p.
Keywords in Englishh-difference fractional order Grünwald-Letnikov oparator, Mittag-Leffler function, discrete-time linear control system, realization, Markov parameters
Internal identifierROC 19-20
Languageen angielski
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 02-03-2020, ChapterFromConference
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