This note presents a method to test the positive controllability of a continuous-time linear
system. Based on the Jordan canonical form, the controllability of a given system can be …

In this paper the alternative method for determination of all possible lower reachability
indices has been proposed. Method is based on the extension of parallel digraphs creation …

This paper presents in-depth the parallel computer algorithm for the determination of
characteristic polynomial realisations of dynamic system. The main differences between the …

The problem of the paper is the formulation of the concept of reachability indices of periodic
linear positive systems. A positive system is one in which the positive orthant is an invariant …

The structural property of local reachability for positive two-dimensional (2-D) systems refers
to single local states. The smallest number of steps needed to reach all local states of a …

In this paper, the method of the determination reachability index set of the positive system
described by the second Fornasini-Marchesini model, using digraph theory and GPU …

This paper deals mainly with the structural properties of positive reachability and stability.
We focus our attention on positive discrete-time systems and analyze the behavior of these …

In this survey paper, reachability properties for discrete-time positive systems, two-
dimensional discrete state-space models and discrete-time positive switched systems are …

We derive a flow formulation of differential-algebraic equations (DAEs), implicit differential
equations whose dynamics are restricted by algebraic constraints. Using the framework of …

This paper presents additional conditions that are needed to create proper digraphs
representation of the characteristic polynomial. Contrary to currently used methods (like …