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 |
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| container_title | Discrete Applied Mathematics |
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| creator | Carriegos, Miguel V. DeCastro-García, Noemí Muñoz Castañeda, Ángel Luis |
| description | 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. |
| doi_str_mv | 10.1016/j.dam.2018.01.015 |
| format | Article |
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| ispartof | Discrete Applied Mathematics, 2019-06, Vol.263, p.96-104 |
| issn | 0166-218X 1872-6771 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Abelian monoid Classification Diophantine equation Dynamical systems Feedback Mathematical analysis Monoids Partition Partitions (mathematics) Rings (mathematics) |
| title | Partitions, diophantine equations, and control systems |
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