Stability and l1-gain analysis for positive 2D fuzzy systems in Roesser model

This paper considers the stability and l1-gain analysis for positive two-dimensional (2D) linear systems with state delays described by the Roesser model based on Takagi-Sugeno(T-S) fuzzy logic rules. The co-positive type Lyapunov function method is applied to establish sufficient conditions of asymptotical stability for the addressed system. l1-gain index is used to analyze the noise attenuation performance of the positive 2D T-S fuzzy delayed systems. The obtained results are formulated in the form of linear matrix inequalities (LMIs). Finally, an illustrative example is given to verify the effectiveness of the proposed method.