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The new absolute stability condition for uncertain t-s fuzzy lurie control systems with time-delay

Xiao-Xu Xia

This paper focuses on the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties in the state as well as the nonlinearity function. Based on Lyapunov-Krasovskii functional (LKF) together with linear matrix inequality (LMI) approach, a novel delay-dependent absolute stability criterion for such new uncertain T-S fuzzy Lurie control systems with time-delay is derived. In the end, a numerical example and its simulation results are presented to illustrate feasibility and effectiveness of the proposed result.