Fixed-time consensus of complex dynamical networks with nonlinear coupling and fuzzy state-dependent uncertainties

Abstract In this paper, the fixed-time consensus problem for complex dynamical networks with nonlinear coupling and fuzzy state-dependent uncertainties is discussed. Different from most existing publications, the controller is designed as a fuzzy logic system, which is applicable for complex dynamical networks with system uncertainties and unknown topology to ensure the fixed-time consensus. Furthermore, compared with the initial-condition based finite-time consensus, the settling time is bounded by a constant within fixed-time regardless of the initial condition. Based on the Lyapunov stability theory and inequality techniques, some sufficient criteria for fixed-time consensus are obtained. Finally, two numerical examples are granted to display the performance of the obtained results.

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