Abstract

A new class of nonnegative 2D Roesser type models is introduced. Necessary and sufficient conditions are established for the reachability and controllability of the nonnegative 2D Roesser type model for zero boundary conditions. It is shown that the nonnegative 2D Roesser type model having not nilpotent system matrix is unreachable for nonzero boundary conditions. The minimum energy control problem is formulated and solved for the nonnegative 2D Roesser type model with zero boundary conditions. The considerations are illustrated by means of a numerical example.

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