Partitions, diophantine equations, and control systems

Partitions, diophantine equations, and control systems

Ordered partitions of elements of a reduced abelian monoid are defined and studied by means of the solutions of linear diophantine equations. Links to feedback classification of linear dynamical systems over certain commutative rings are given in the same way as partitions of integers are related to...

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Veröffentlicht in:Discrete Applied Mathematics 2019-06, Vol.263, p.96-104
Hauptverfasser: Carriegos, Miguel V., DeCastro-García, Noemí, Muñoz Castañeda, Ángel Luis
Format: Artikel
Sprache:eng
Schlagworte:
Abelian monoid
Classification
Diophantine equation
Dynamical systems
Feedback
Mathematical analysis
Monoids
Partition
Partitions (mathematics)
Rings (mathematics)
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Beschreibung
Zusammenfassung:Ordered partitions of elements of a reduced abelian monoid are defined and studied by means of the solutions of linear diophantine equations. Links to feedback classification of linear dynamical systems over certain commutative rings are given in the same way as partitions of integers are related to feedback classification of linear dynamical systems over fields in the classical literature.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2018.01.015