Article

# Periodic Behaviors.

• ##### Marius van der Put
SIAM Journal on Control and Optimization (Impact Factor: 1.38). 01/2010; 48:4652-4663. DOI: 10.1137/100782577
Source: DBLP

ABSTRACT 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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