Improved stability analysis for Takagi-Sugeno (T-S) fuzzy systems with two additive time-varying delays

This paper focused on the stability analysis criteria for Takagi-Sugeno (T-S) fuzzy systems with two additive time-varying delay. By constructing an appropriate Lyapunov-Krasovskii functional using two additive delay components and combined with the state vector augmentation. Then, by employing the Finsler's lemma and Seuret-Wirtinger's integral inequality, some less conservative delay-dependent stability criteria are obtained in terms of linear matrix inequality (LMIs), which can be solved by using Matlab LMI toolbox. Finally, numerical results are provided to illustrate the effectiveness of the proposed stability criteria.