Fixed-time synchronization of complex networks with time-varying delays base on sliding mode controller

A new sliding mode control strategy is offered for achieving fixed-time synchronization in complex networks that incorporate time delays. A new sliding mode controller is offered, and its effectiveness in achieving synchronization is demonstrated using Lyapunov stability theory. This approach ensures synchronization throughout both the sliding phase and the arrival phase. Lastly, a numerical example is offered to substantiate the utility of the proposed strategy.