This paper focuses on the stability analysis and stabilization for a class of T-S fuzzy systems with state and input delays. Firstly, a Lyapunov-Krasovskii (L-K) functional with triangle integral is constructed, and a recently developed double integral inequality and the auxiliary function-based integral inequality are selected to deal with the integral term in the derivative of the Lyapunov-Krasovskii functional. In order to obtain further relaxed delay-dependent stability results, the boundary information on membership functions is considered, the piecewise membership functions are employed to approximate the membership functions, meanwhile, some slack matrices are employed, and relaxed membership-function-dependent stability criteria are obtained in terms of linear matrix inequalities(LMIs). Then, under the imperfect premise matching technique, combining with the Finsler lemma, a fuzzy state feedback control design method is presented for the first time for the T-S fuzzy systems with state and input delays. The fuzzy controller is required to employ the same premise membership functions and the number of fuzzy rules as the fuzzy model, and then the flexibility of controller design is improved. Finally, three numerical examples are given to illustrate progressiveness and effectiveness of the presented approach.