Abstract
This article focuses on the exponential synchronization problem of T-S fuzzy reaction-diffusion neural networks (RDNNs) with additive time-varying delays (ATVDs). Two control strategies, namely, fuzzy time sampled-data control and fuzzy time-space sampled-data control are newly proposed. Compared with some existing control schemes, the two fuzzy sampled-data control schemes cannot only tolerate some uncertainties but also save the limited communication resources for the considered systems. A new fuzzy-dependent adjustable matrix inequality technique is proposed. According to different fuzzy plant and controller rules, different adjustable matrices are introduced. In comparison with some traditional estimation techniques with a determined constant matrix, the fuzzy-dependent adjustable matrix approach is more flexible. Then, by constructing a suitable Lyapunov-Krasovskii functional (LKF) and using the fuzzy-dependent adjustable matrix approach, new exponential synchronization criteria are derived for T-S fuzzy RDNNs with ATVDs. Meanwhile, the desired fuzzy time and time-space sampled-data control gains are obtained by solving a set of linear matrix inequalities (LMIs). In the end, some simulations are presented to verify the effectiveness and superiority of the obtained theoretical results.
Highlights
D URING the past decades, fuzzy control has provoked increasing interests of many researchers from various fields
We will investigate the exponential synchronization of T–S fuzzy reaction–diffusion neural networks (RDNNs) with additive time-varying delays (ATVDs) via two different control schemes
By proposing a fuzzy time sampleddata control scheme and a new fuzzy-dependent adjustable matrix inequality technique, a novel exponential synchronization criterion is derived for the T–S fuzzy RDNNs (2) and (3)
Summary
D URING the past decades, fuzzy control has provoked increasing interests of many researchers from various fields. ZHANG et al.: FUZZY SAMPLED-DATA CONTROL FOR SYNCHRONIZATION in [19], the impulsive synchronization problem of RDNNs has been investigated by an impulse-time-dependent LKF method. In [30], by time sampled-data control, the exponential synchronization problem has been studied for RDNNs with sampled-data communications. In [31], by spatial sampled-data control, the exponential synchronization of RDNNs with time delays has been investigated. Some new results for synchronization of RDNNs with sampled-data control have been presented in [33], a mistake occurs in V1(t) of the constructed LKF. 3) The ATVDs are considered for T–S fuzzy RDNNs, which generalize the existing models of RDNNs with a single time-varying delay.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
