RESUMEN
The filter design of H ∞ for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time N -linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system. To remove an outside disruption, H ∞ performances (HP) are implemented. Sufficient criteria are developed to assure the Exponentially Mean-Square Stability (EMSS). Then, using MATLAB-LMI toolbox filter parameters were established. Finally, the efficiency of the designed filter is illustrated with mathematical instances.