LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models

Abstract

This paper deals with the stability and stabilization problems for positive 2D systems described by a linear discrete-time Roesser model with delays. A linear programming (LP) approach is used to establish the necessary and sufficient conditions for asymptotic stability of the positive 2D state delayed Roesser model. Furthermore, a design procedure for memory, non-negative memory and memoryless state feedback controllers is given by solving a certain LP problem. Two examples are included to illustrate the effectiveness of the proposed results.