Full state constraints control of switched complex networks based on time-varying barrier Lyapunov functions

This manuscript proposes an adaptive backstepping synchronous control method with full state constraints by drawing into the time-varying barrier Lyapunov functions (T-BLFs) for a kind of uncertain switched complex networks. Generally, a complex dynamic network in practical terms either possesses a switched topology or its nodes are with switched parameters. In this context, the synchronisation problem of the switched complex network is tackled by utilising adaptive backstepping method after converting switched complex network into the non-autonomous strict feedback form. Meanwhile, most of the system states are supposed to be constrained during the switch over the procedure. Thus, the constraint-handling method based on T-BLFs is developed in the backstepping process to guarantee the full state restriction boundaries are not violated, and then to realise the asymptotic stability of the nodes states of the switched complex networks. Four simulation examples are presented to verify the feasibility and effectiveness of the proposed control approach.