Abstract Two-dimensional (2D) compartmental models are 2D positive systems obeying some conservation law, and hence described by matrix pairs with substochastic sum. A canonical form, to which all 2D compartmental models reduce, is derived, allowing for a complete analysis of stability properties. The relevance of these models is illustrated by two examples: the single-carriageway traffic flow and the Streeter-Phelps discrete model
In the paper the definition and main properties of a 2-digraph, i.e. a directed graph with two kinds...
AbstractReachability and observability of two-dimensional (2D) discrete state-space models are intro...
When dealing with two-dimensional (2D) discrete state-space models, reachability, controllability a...
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegativ...
Abstract. Compartmental models involve nonnegative state variables that exchange mass, energy, or ot...
The paper stresses the relevance of polynomial matrices in three differ-ent approaches to the analys...
In this paper, we consider the problem of stability of two-dimensional linear systems. New sufficien...
When dealing with two-dimensional (2D) discrete state-space models, reachability and observability a...
Pairs of linear transformations on a finite dimensional vector space are of great relevance in the a...
Abstract-In this paper we considers the stability problem for positive two-dimentional systems descr...
Abstract. Two-dimensional (2D) positive systems are 2D state-space models whose state, input and out...
Homogeneous 2D positive systems are 2D state space models whose variables are always nonnegative and...
Homogeneous 2D positive systems are 2D state-space models whose variables are alwalys nonnegative an...
Two-dimensional system dynamics depends on matrix pairs that represent the shift operators along coo...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57799/1/CompartmentalSIMAX1993.pd
In the paper the definition and main properties of a 2-digraph, i.e. a directed graph with two kinds...
AbstractReachability and observability of two-dimensional (2D) discrete state-space models are intro...
When dealing with two-dimensional (2D) discrete state-space models, reachability, controllability a...
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegativ...
Abstract. Compartmental models involve nonnegative state variables that exchange mass, energy, or ot...
The paper stresses the relevance of polynomial matrices in three differ-ent approaches to the analys...
In this paper, we consider the problem of stability of two-dimensional linear systems. New sufficien...
When dealing with two-dimensional (2D) discrete state-space models, reachability and observability a...
Pairs of linear transformations on a finite dimensional vector space are of great relevance in the a...
Abstract-In this paper we considers the stability problem for positive two-dimentional systems descr...
Abstract. Two-dimensional (2D) positive systems are 2D state-space models whose state, input and out...
Homogeneous 2D positive systems are 2D state space models whose variables are always nonnegative and...
Homogeneous 2D positive systems are 2D state-space models whose variables are alwalys nonnegative an...
Two-dimensional system dynamics depends on matrix pairs that represent the shift operators along coo...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57799/1/CompartmentalSIMAX1993.pd
In the paper the definition and main properties of a 2-digraph, i.e. a directed graph with two kinds...
AbstractReachability and observability of two-dimensional (2D) discrete state-space models are intro...
When dealing with two-dimensional (2D) discrete state-space models, reachability, controllability a...