Conservative input-state-output systems with evolution on a multidimensional integer lattice
type: Item
instance of: scholarly article
title: Conservative input-state-output systems with evolution on a multidimensional integer lattice
zbMATH Open document ID: 1219.93065
author: Cora Sadosky
author: Victor Vinnikov
author: Joseph A. Ball
published in: Multidimensional Systems and Signal Processing
publication date: 2006-01-30T00:00:00Z
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 5002481
zbMATH Keywords: conservative multidimensional discrete-time system
zbMATH Keywords: energy balance relation
zbMATH Keywords: shift-invariant sublattice
zbMATH Keywords: initial value problem boundary condition at infinity
MaRDI profile type: Publication
full work available at URL: s11045-005-6861-x
OpenAlex ID: W2086762960
cites work: On unitary couplings of semiunitary operators
cites work: Q3360462
cites work: Q3973562
cites work: Scattering systems with several evolutions and multidimensional input/state/output systems
cites work: Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: Discrete time systems, operator models, and scattering theory
cites work: Multiparametric dissipative linear stationary dynamical scattering systems: Discrete case. II: Existence of conservative dilations
cites work: Transfer operators and state spaces for discrete multidimensional linear systems
cites work: Equivalence of n-dimensional Roesser and Fornasini-Marchesini models
cites work: Q5600360
cites work: Q3840240
cites work: Multidimensional constant linear systems
cites work: Dissipative dynamical systems. I: General theory
cites work: The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\)
DOI: 10.1007/S11045-005-6861-X
description: scientific article; zbMATH DE number 5002481