Abstract
In this paper, the problem of delay-dependent condition for a new class of TakagiSugeno (T-S) fuzzy Lurie control systems with multiple time-delays is discussed. Proper Lyapunov functions are defined by using the Lyapunov stability theory, and a novel delaydependent absolute stability condition is derived with the linear matrix inequality (LMI) and free-weighting matrix approach, which is different from previous research. Meanwhile,a numerical example is provided to demonstrate feasibility and effectiveness of the proposed result by using the LMI and Simulink toolboxes in MATLAB, and the value of time delay has proved less conservativeness of this method.
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