In this article, the stability and stabilization for T-S fuzzy systems with periodically varying delays (PVDs) are explored. First, according to the characteristics of PVDs, an augmented Lyapunov-Krasovskii functional (LKF) related to fuzzy rules is established. Second, enhanced stability criteria are developed based on fuzzy augmented LKF together with a generalized delay derivative-dependent reciprocally convex matrix inequality (RCMI). It successfully overcomes the limitations of estimation for only two reciprocally convex terms (RCTs), meanwhile providing a tighter bound by introducing more free variables. Under the parallel distributed compensation (PDC) scheme, a fuzzy memory controller ensuring system stabilization is investigated. Finally, the enhancement of stability criteria and the effectiveness for controller design are verified through numerical simulation.
Zhou et al. (Fri,) studied this question.