Stability analysis for 2-D discrete systems with varying delay

This paper is concerned with stability analysis for two-dimensional (2-D) discrete systems described by the Roesser models (RM) with varying delay in the state. By utilizing the delay partitioning idea and the Lyapunov method, a new stability criteria is proposed in terms of linear matrix inequalities (LMIs). This result is delay-dependent and also dependent on the partitioning size. A numerical example is given to demonstrate the effectiveness and the benefits of the presented methods.