On some special features which are peculiar to discrete time behaviors with trajectories on \({\mathbb Z}_{+}\)
type: Item
instance of: scholarly article
title: On some special features which are peculiar to discrete time behaviors with trajectories on \({\mathbb Z}_{+}\)
zbMATH Open document ID: 1006.93013
DOI: 10.1016/S0024-3795(01)00432-3
published in: Linear Algebra and its Applications
publication date: 2002-08-28T00:00:00Z
review text: The author elaborates on some differences between linear discrete time systems on \(\mathbb{Z}\) and \(\mathbb{Z}_+\). Especially the role of finite support trajectories is stressed. This paper uses the language and notions of the behavioral approach of linear systems as originated by J. C. Willems.
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1790303
zbMATH Keywords: most powerful unfalsified model
zbMATH Keywords: linear discrete time systems
zbMATH Keywords: finite support trajectories
zbMATH Keywords: behavioral approach
author: Maria Elena Valcher
reviewed by: Johannes W. Nieuwenhuis
MaRDI profile type: Publication
cites work: Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
cites work: Q3905961
cites work: Exact modelling and identifiability of linear systems
cites work: Solution modules and system equivalence
cites work: When to call a linear system nonnegative
cites work: On behaviors and convolutional codes
cites work: Nonnegative linear systems in the behavioral approach: The autonomous case
cites work: On the decomposition of two-dimensional behaviors
cites work: Dead beat observer synthesis
cites work: From time series to linear system. I: Finite dimensional linear time invariant systems
cites work: From time series to linear system, II. Exact modelling
cites work: Paradigms and puzzles in the theory of dynamical systems
cites work: Notes on the definition of behavioural controllability
cites work: Algebraic description and construction of error-correcting codes: a linear systems point of view
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description: scientific article; zbMATH DE number 1790303