Robust H∞ filtering for uncertain two-dimensional discrete systems with state-varying delays

This work highlighted the robust H ∞ filtering for 2-D discrete systems described by the Roesser state-space model: those with interval time-varying delays and norm-bounded parameter uncertainties. By using a novel augmented Lyapunov–Krasovskii functional and then adapting to the improved reciprocally convex approach, using terms of linear matrix inequalities (LMIs), a new sufficient conditions for the H ∞ performance analysis are developed. Some slack matrix variables are introduced to develop less conservative solutions than previous results in the literature. Finally, two numerical examples are introduced to illustrate the effectiveness, reduced conservatism and potential of the developed theories.