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.