Stability of two-dimensional descriptor systems with generalized directional delays

This paper is concerned with the problem of stability analysis of two-dimensional (2-D) descriptor systems described by a Roesser-type model with generalized directional time-varying delays. By constructing an improved 2-D Lyapunov-Krasovskii functional candidate and utilizing zero-type free matrix equations, new delay-dependent conditions are derived in terms of linear matrix inequalities (LMIs) to ensure that the system under consideration is regular, causal and internally stable. The obtained results are shown to extend the existing literature by numerical examples.