Stability Analysis of Singular 2-D Positive systems

This paper deals with the asymptotic stability of singular 2- Dimensional positive systems with the Lyapunov approach. First, we introduce the G-R model for Singular 2-D systems, an extended class G-R for 2-D systems. Then by decomposition, we presented six classes that will result in stability and positivity analysis for each class, leading us to conditions in terms of strictly linear matrix inequality (LMIs). To show the usefulness of the proposed conditions, we present a numerical example with states' simulation. Keywords-Asymptotic stability, Singular systems, 2-D systems, Positive Systems.