Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities

This paper addresses the delay-dependent stability problem for 2-D discrete-time systems described by the Fornasini–Marchesini second state-space model with interval time-varying delays and saturation nonlinearities. By using linear matrix inequalities (LMIs) method, the delay-range-dependent conditions are derived, which not only depend on the difference between the upper and lower delay bound but also on the upper delay bound of the interval time-varying delays. Finally, numerical example is given to illustrate the effectiveness of the proposed technique.