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Authors: Mikhail V. Foursov 1 and Christiane Hespel 2

Affiliations: 1 IRISA/Université de Rennes–1, France ; 2 IRISA/INSA de Rennes, France

Keyword(s): Formal power series, Generating series, Rational series, Joint matrix block–diagonalization, Dynamical systems.

Related Ontology Subjects/Areas/Topics: Informatics in Control, Automation and Robotics ; Nonlinear Signals and Systems ; Signal Processing, Sensors, Systems Modeling and Control ; Time Series and System Modeling

Abstract: Similarly to the partial fraction decomposition of rational fractions, we provide an approach to the decomposition of rational series in noncommutative variables into simpler series. This decomposition consists in splitting the representation of the rational series into simpler representations. Finally, the problem appears as a joint block–diagonalization of several matrices. We present then an application of this decomposition to the integration of dynamical systems.

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Paper citation in several formats:
V. Foursov, M. and Hespel, C. (2009). ABOUT THE DECOMPOSITION OF RATIONAL SERIES IN NONCOMMUTATIVE VARIABLES INTO SIMPLE SERIES. In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-674-001-6; ISSN 2184-2809, SciTePress, pages 214-220. DOI: 10.5220/0002197602140220

@conference{icinco09,
author={Mikhail {V. Foursov}. and Christiane Hespel.},
title={ABOUT THE DECOMPOSITION OF RATIONAL SERIES IN NONCOMMUTATIVE VARIABLES INTO SIMPLE SERIES},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2009},
pages={214-220},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002197602140220},
isbn={978-989-674-001-6},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - ABOUT THE DECOMPOSITION OF RATIONAL SERIES IN NONCOMMUTATIVE VARIABLES INTO SIMPLE SERIES
SN - 978-989-674-001-6
IS - 2184-2809
AU - V. Foursov, M.
AU - Hespel, C.
PY - 2009
SP - 214
EP - 220
DO - 10.5220/0002197602140220
PB - SciTePress