Solution of 2D singular hybrid linear system
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.
cybernetics systems theory