On the spectral and combinatorial structure of 2D positive systems
type: Item
instance of: scholarly article
title: On the spectral and combinatorial structure of 2D positive systems
zbMATH Open document ID: 0857.93051
DOI: 10.1016/0024-3795(94)00242-8
author: Ettore Fornasini
author: Maria Elena Valcher
published in: Linear Algebra and its Applications
publication date: 1996-11-25T00:00:00Z
review text: The unique feature of a two-dimensional system is the existence of two independent information propagation directions. The second point is that, in many practical applications, variables describing a plant or a process must be positive. Taking account of this fact, there is a need to consider the so-called positive two-dimensional systems. Several spectral properties, such as finite memory, separability, and property L, which depend on the, in this case, two variable characteristic polynomial, are investigated under the nonnegativity constraints. Some aspects of the Perron-Frobenius theory are extended to this case and, finally, some results on two-dimensional positive realizations are presented.
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 931928
zbMATH Keywords: positive two-dimensional systems
zbMATH Keywords: finite memory
zbMATH Keywords: property L
zbMATH Keywords: two-dimensional positive realizations
zbMATH Keywords: separability
reviewed by: Krzysztof Gałkowski
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00242-8
OpenAlex ID: W1985697760
cites work: Q4404391
cites work: State and output feedback stabilizability of 2-D systems
cites work: Combinatorial matrix theory
cites work: Some Generalizations of Matrix Commutativity
cites work: A 2-D systems approach to river pollution modelling
cites work: State-space realization theory of two-dimensional filters
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: Q4279803
cites work: On the structure of finite memory and separable two-dimensional systems
cites work: Matrix Pairs in Two-Dimensional Systems: An Approach Based on Trace Series and Hankel Matrices
cites work: Algebraic aspects of two-dimensional convolutional codes
cites work: Q3261425
cites work: Constrained stable generalised predictive control
cites work: Q5638871
cites work: Q4784966
cites work: Q3908823
cites work: Positive realization of difference equations
cites work: Two-dimensional state-space discrete models for hyperbolic partial differential equations
cites work: Q4039989
cites work: Pairs of Matrices with Property L
cites work: Equilibria, stability and reachability of Leslie systems with nonnegative inputs
cites work: A Trace Condition Equivalent to Simultaneous Triangularizability
cites work: A discrete state-space model for linear image processing
cites work: Q4155837
cites work: Q5793091
cites work: Corrigendum
description: scientific article; zbMATH DE number 931928