New results on robust exponential stability of Takagi–Sugeno fuzzy for neutral differential systems with mixed time-varying delays

Abstract This study aims to analyse the robust exponential stability for neutral differential equations of the uncertain Takagi–Sugeno fuzzy system with distributed and discrete time interval delays by applying the Newton–Leibniz formula, the Lyapunov–Krasovskii functional, and the zero equations. By these methods, the less conservative exponential stability criteria are obtained for a special case of the generalized fuzzy of the neutral differential system. By applying Matlab LMI toolbox, the new conditions for exponential stability are obtained in the forms of linear matrix inequalities (LMIs), which can verify the numerical performance by the LMI toolbox of MATLAB. Finally, numerical examples are provided to manifest the efficiency and reduce the conservatism of the obtained results rather than the results which exist in the literature.