On the Structure of Behaviors

Details On the Structure of Behaviors On the Structure of Behaviors

2004-01-11

arxiv.org/abs/math/0401109v2

Mathematics

Optimization and Control

19 pages, minor changes

Scientific paper

A behavior is a closed shift invariant subspace of the space of sequences
with entries in a field k. We work out an explicit duality for k-modules. This
duality is then used to derive properties of behaviors, and their high
dimensional and noncommutative generalizations.

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