Stability analysis of T-S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality

The stability problem of T-S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T-S fuzzy systems with time-varying delays. Firstly, a parameter-dependent reciprocally convex inequality is proposed to improve the estimation accuracy of reciprocal convex terms. Secondly, based on the line-integral Lyapunov-Krasovskii (L-K) function and the developed parameter-dependent reciprocally convex inequality, a less conservative stability condition is established. Finally, two examples are used to verify the feasibility and superiority of the proposed method.