Abstract
This article investigates the stability analysis of delayed Takagi–Sugeno (T–S) fuzzy systems. To begin with, a membership-dependent reciprocally convex inequality is proposed. Different from the frequently employed reciprocally convex inequalities, the proposed inequality can introduce the membership functions and provide a smaller bounding gap. Then, a suitable Lyapunov–Krasovskii functional (LKF) combined with the delay-product-type technique is established. As a consequence, two enhanced stability criteria for the delayed T–S fuzzy systems are developed. Lastly, the benefits of membership-dependent inequality are demonstrated by utilizing two well-known examples.
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