Event-Triggered L ₂–L _∞ Filtering for Network-Based Neutral Systems With Time-Varying Delays via T-S Fuzzy Approach

Abstract

This article examines the issue of event-triggered L 2 −L ∞ 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 novel 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 ∞ performance index γ. To the end, numerical examples are given to illustrate the effectiveness of the proposed result.

Extended dissipativity-based sampled-data controller design for fuzzy distributed parameter systems

“…To investigate the stability and stabilization concerns related to nonlinear systems, one can employ a fuzzy T-S model. For instance, the following references provide insights on this topic: [20,27,23,9,22,8,24]. This is crucial because these systems occasionally exhibit instability or unsteadiness.…”

Observer‐Based Synchronization and Quasi‐Synchronization for Multiple Neural Networks with Time‐Varying Delays

“…At present, existing work of ETC in the multiagent field (see [23,24]). Especially, [25] the recurrent neural network triggered by finite-time event-triggered strategy is studied, and the stability of finite-time systems is proved by novel inequality methods such as, Lyapu-novCKrasovskii functional and Wirtinger single and double integral inequality. Compared with static trigger conditions, dynamic trigger conditions have more advantages.…”

A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation

“…This is a question that can be considered. For example, whether the H-representation method can be applied to the almost sure consensus of multi-agent systems [28] and the event-triggered L 2 − L ∞ filtering for network-based neutral systems with time-varying delays by using T-S fuzzy method [29]. In this paper, we will study the bisymmetric and skew bisymmetric solutions of quaternion matrix equation by using the expansion rules of quaternion matrix product, H-representation of matrices and semi-tensor product of matrices.…”