Synchronisation of stochastic T–S fuzzy multi‐weighted complex dynamical networks with actuator fault and input saturation

This study is concerned with the exponential synchronisation problem of multi-weighted stochastic fuzzy complex dynamical networks subject to time-varying actuator faults and input saturations. Subsequently, based on the Lyapunov–Krasovskii functional approach and stochastic stability theory, a fault-tolerant controller with actuator saturation function is designed for achieving the desired synchronisation performance. Precisely, some novel sufficient conditions are developed in the form of linear matrix inequalities to guarantee the synchronisation of the considered networks model. Specifically, it is shown that the states of the multi-weighted complex dynamical networks exponentially synchronised to a reference state in the mean-square sense through the developed control scheme. Finally, two numerical simulations including Chua's circuit model are given to show the applicability and effectiveness of the developed theoretical results.