arXiv subjects

Fernando Ortega

Publications and source records attributed to Fernando Ortega.

20 records · Page 2Linked to original sources

arXiv2016

A boundary value problem of a generalised linear discrete time system with no solutions and infinitely many solutions

In this article we study a class of generalised linear systems of difference equations with given boundary conditions and assume that the boundary value problem is non-consistent, i.e. it has infinite many or no solutions. We take into consideration the case that the coefficients are square constant matrices with the leading coefficient singular and provide optimal solutions. Numerical examples are given to justify our theory.

math.DS↗

arXiv2015

Causality of singular linear discrete time systems

We consider two type of systems, a linear singular discrete time system and a linear singular fractional discrete time system whose coefficients are square constant matrices. By assuming that the input vector changes only at equally space sampling instants we investigate and provide properties for causality between state and inputs and causality between output and inputs.

math.DS↗