Event-Triggered L2–L∞ Filtering for Network-Based Neutral Systems With Time-Varying Delays via T-S Fuzzy Approach

This article examines the issue of event-triggered
$L_{2}-L_\infty $
filtering for network-based neutral systems via Takagi-Sugeno (T-S) fuzzy approach. A dynamic discrete event-triggered scheme (ETS) is introduced to save the limited communication resource. Based on the T-S fuzzy model, the consider neutral type system with networked induced delays are represented as a class of T-S fuzzy system. In addition, by considering a suitable Lyapunov-Krasovskii functional (LKF) and by using the Wirtinger inequality technique, the stability conditions with respect to linear matrix inequalities (LMIs) are presented to guarantee the considered filtering systems are asymptotically stable with
$L_{2}-L_{\infty }$
performance index
$\gamma $
. To the end, numerical examples are given to illustrate the effectiveness of the proposed result.