Fixed-time output synchronization control of complex networks with external disturbances

This paper discusses fixed-time output synchronization for complex networks with external disturbances. An output disturbance observer is proposed to estimate unknown disturbance induced by exogenous system. A fixed-time controller with the output feedback and the estimated disturbance is constructed to achieve anti-disturbance synchronization. A sufficient criterion is established to ensure uniformly ultimately bounded synchronization of the closed-loop system by the means of the Lyapunov theory and the fixed-time stability lemma. Finally, an example is performed to demonstrate the validity of proposed method.