Delay-Dependent Stability Conditions for 2-D Discrete State Delayed Systems with Generalized Overflow Arithmetic

This paper explores delay-dependent stability in 2-D discrete systems using the Roesser model, incorporating time-varying delay and generalized overflow arithmetic. The objective is to devise a less conservative stability criterion considering both delay and nonlinear function bounds. Through a novel Lyapunov functional and a derived 2D version of the reciprocally convex matrix inequality, we achieve a less conservative stability criterion within the framework of linear matrix inequalities (LMIs). Numerical comparisons with prior results illustrate the effectiveness and improvement of the proposed method.