Solution of 2D singular hybrid linear system

Abstract

Purpose

The purpose of this paper is to study the 2D hybrid linear model, which is a method of describing both continuous‐ and discrete‐time dynamics in one system. Singularity of 2D hybrid linear models is a newly occurred problem and a very important question is how to compute the solution of the singular 2D hybrid linear model.

Design/methodology/approach

Computation of the solution of mentioned system is based on Laplace transform, Z‐transform and shifting algorithm. The inverse Laplace transform and inverse Z‐transform are used in two cases.

Findings

In this paper, a class of 2D singular hybrid linear systems is introduced. Two methods for computation of solutions of the singular hybrid system with nonzero boundary conditions are proposed. Both methods are illustrated by the examples.

Originality/value

Presented methods are a new way for computing the solution of singular 2D hybrid linear systems.

Citation

Sajewski, L. (2009), "Solution of 2D singular hybrid linear system", Kybernetes, Vol. 38 No. 7/8, pp. 1079-1092. https://doi.org/10.1108/03684920910976835