Stability of uncertain 2-D discrete delayed systems with saturation

Based on the Roesser model with saturation nonlinearities (SNL) and time-varying delays (TVDs), this paper studies the global asymptotic stability (GAS) of two-dimensional (2-D) uncertain discrete systems (DSs). The underlying system involves norm-bounded parameter uncertainties. By utilizing the idea of Wirtinger-based inequality (WBI) with reciprocal convex inequality (RCI), a new criterion is derived to ensure the GAS of 2-D systems. Numerical examples demonstrate the advantages of the proposed method. With the MATLAB software and YALMIP 3.0, it is found that the obtained criterion provides less stringent results than an existing criterion.