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This paper investigates the stability problem of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. Different from some existing methods, a new delay-productdependent Lyapunov-Krasovkii functional (LKF) is proposed, whose derivative is estimated by using the proposed cubic function negative-determination lemma (NDL). Moreover, a parameter-dependent reciprocally convex inequality (PDRCI) is proposed to improve the estimation accuracy of reciprocally convex terms. Besides, an improved cubic function NDL is derived to solve the negative-definiteness determination of cubic functions. Based on the proposed delay-product-dependent LKF, the developed PDRCI and the improved cubic function NDL, a less conservative stability criterion is obtained. Three examples are presented to demonstrate the merits of the proposed approaches by comparing with several existing results.
Wang et al. (Thu,) studied this question.