Periodic behaviors

Details Periodic behaviors Periodic behaviors

2010-01-13

arxiv.org/abs/1001.2255v3

Mathematics

Optimization and Control

13 pages

Scientific paper

This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al. for behaviors on R^n. These properties - in particular the Nullstellensatz describing the Willems closure - are closely related to integral and rational points on affine algebraic varieties.

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