Fixed Time Synchronization for Heterogeneous Complex Network with Time Delay by Soft Variable Structure Control Method

Ahstract-This study focuses on the fixed-time synchronization problem of drive-response complex networks with time delay. Distinguish from most of previous works, a more practical complex network is introduced, whose nodes and dimension between drive-response system are different. To achieve fixed time synchronization of the network, a dynamic soft variable structure control with fixed-time strategy is proposed, aiming to achieve higher regulation rate and shorter settling time. Then, the stability of the controller is rigorously proven through mathematical analysis and numerical simulations validate the effectiveness of presented results.