In the paper, a decomposition theorem for autonomous two-dimensional (2D) behaviors, stating that every such behavior can be expressed as the sum of a (uniquely determined) square autonomous behavior and of some finite dimensional autonomous behavior, is introduced. As a result, the well-known decomposition theorem for general complete 2D behaviors [4] can be further investigated, thus leading to a more detailed analysis of the properties of the admissible decompositions.
On the decomposition of 2D behaviors
VALCHER, MARIA ELENA
2000
Abstract
In the paper, a decomposition theorem for autonomous two-dimensional (2D) behaviors, stating that every such behavior can be expressed as the sum of a (uniquely determined) square autonomous behavior and of some finite dimensional autonomous behavior, is introduced. As a result, the well-known decomposition theorem for general complete 2D behaviors [4] can be further investigated, thus leading to a more detailed analysis of the properties of the admissible decompositions.File in questo prodotto:
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