Periodic behaviors
Optimization and Control
2010-08-02 v3 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1001.2255,
title = {Periodic behaviors},
author = {Diego Napp and Marius van der Put and Shiva Shankar},
journal= {arXiv preprint arXiv:1001.2255},
year = {2010}
}
Comments
13 pages